Relevant bibliographies by topics / Harmonic analysis

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Harmonic analysis'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Harmonic analysis"

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Wu, Shan-He, Imran Abbas Baloch, and İmdat İşcan. "On Harmonically(p,h,m)-Preinvex Functions." Journal of Function Spaces 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/2148529.

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We define a new generalized class of harmonically preinvex functions named harmonically(p,h,m)-preinvex functions, which includes harmonic(p,h)-preinvex functions, harmonicp-preinvex functions, harmonich-preinvex functions, andm-convex functions as special cases. We also investigate the properties and characterizations of harmonically(p,h,m)-preinvex functions. Finally, we establish some integral inequalities to show the applications of harmonically(p,h,m)-preinvex functions.
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Zhao, Keyu. "Grid-Connected PV System Harmonic Analysis." MATEC Web of Conferences 404 (2024): 02005. http://dx.doi.org/10.1051/matecconf/202440402005.

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The inverter’s output impedance can be adjusted to reduce harmonic interference on the grid. Advanced current control strategies like PI and quasi-PR control enable precise control of the inverter’s output current, further reducing harmonics. PI control compensates for error signals to eliminate steady-state errors but has limited ability to suppress harmonics in high-frequency ranges. Quasi-PR control combines proportional, integral, and resonance control to suppress specific frequency harmonics. Establishing a grid-connected photovoltaic inverter and harmonic source model is crucial for grid
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Zhang, Feng, Jue Long Li, Chong Feng Tian, Zong Jie Liu, Hai Feng Ye, and Xiu Chen Jiang. "Binary Scale Time Windows FFT for Harmonic Analysis." Applied Mechanics and Materials 448-453 (October 2013): 2003–10. http://dx.doi.org/10.4028/www.scientific.net/amm.448-453.2003.

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Various harmonics exist in the electrical power system, and the harmonics include both integer harmonics and non-integer harmonics. It is hard to analyze all the harmonics accurately. In order to improve the precision of harmonic analysis and the minimum resolution, this paper presents a new algorithm named binary scale time windows FFT based on traditional algorithm.This algorithm considers the calculative time and precision well. The results of the test indicate that this algorithm can both guarantee the accuracy and raise the resolving power in the harmonic analysis without increasing the h
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Vijayalakshmi, V. J., C. S. Ravichandran, and A. Amudha. "Predetermination of Higher Order Harmonics by Dual Phase Analysis." Applied Mechanics and Materials 573 (June 2014): 13–18. http://dx.doi.org/10.4028/www.scientific.net/amm.573.13.

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Previous research was mainly concentrated on eliminating the selected lower order harmonics depending on the level of inverter which was assumed to be high. The harmonics may be present even in the higher order also. The analysis of harmonic spectrum by Finite Fourier Transform yields a very accurate result for lower order harmonics. For obtaining accurate Total Harmonic Distortion (THD) value and the harmonic spectrum, inclusion of higher order harmonics is essential. The method for accurate estimation is proposed in this paper. In normal practice, the higher order harmonics present in the ou
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Bonilla, Axel Rivas, and Ha Thu Le. "Analysis and Mitigation of Harmonics for a Wastewater Treatment Plant Electrical System." WSEAS TRANSACTIONS ON CIRCUITS AND SYSTEMS 23 (February 9, 2024): 1–13. http://dx.doi.org/10.37394/23201.2024.23.1.

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Power quality has become a pressing issue that demands solutions as power electronic equipment has been increasingly used in industrial sectors. One critical problem is how to mitigate harmful harmonics generated by the power electronic equipment. This study investigates harmonic distortion issues in a wastewater treatment plant to verify compliance with IEEE standard 519 using simulation software ETAP and realistic data from the plant. Harmonic quantification shows that the plant harmonic situation violates IEEE Standard 519 where harmonic levels exceed its voltage and current limits. Differe
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Chen, Yimo, Fanrui Kong, Kai Zeng, et al. "A Trimming Strategy for Mass Defects in Hemispherical Resonators Based on Multi-Harmonic Analysis." Micromachines 16, no. 4 (2025): 480. https://doi.org/10.3390/mi16040480.

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This study investigates the impact of etching trimming parameters on the multiple harmonics of the mass distribution in hemispherical resonators and proposes a novel 1st harmonic trimming scheme. As mass balancing technology advances, the extension of identification and trimming from frequency split to multiple harmonics remains a challenge. Initially, a multi-harmonic identification scheme based on spurious mode detection was established, considering the influence of the first three harmonics of the mass distribution on the dynamic characteristics of hemispherical resonators. Finite element m
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Karomah, Akhlaqul. "Induction Motor Harmonics Voltage Waveform Analysis based on Machine Constriction." Jurnal EECCIS (Electrics, Electronics, Communications, Controls, Informatics, Systems) 14, no. 2 (2020): 63–67. http://dx.doi.org/10.21776/jeeccis.v14i2.639.

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Abstract— This paper discussed about harmonic analysis in an induction motor. Harmonics on induction motor appear due to the machine construction specially to its slots. The analysis of those harmonic will be one of the problems in the machine observation and design. In this paper a simulated computation of the flux magnet and emf induction voltage containing harmonic is proposed and discussed. FEMM simulation software is used and the result is compared to the mathematical analysis. The result shows that the emf induction harmonics wave derived from mathematic modelling and FEMM conform each
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Bellan, Diego. "Three-Phase Distortion Analysis based on Space-Vector Locus Diagrams." WSEAS TRANSACTIONS ON POWER SYSTEMS 18 (December 31, 2023): 467–73. http://dx.doi.org/10.37394/232016.2023.18.46.

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This work deals with the use of the space vector concept to characterize the harmonic content of a three-phase voltage/current. It is shown that the shape of the trajectory of the space vector on the complex plane (i.e., the locus diagram) provides information about its harmonic content. In particular, it is shown that each harmonic contributes to the locus diagram with a number of lobes depending on the relative angular frequency between the harmonic and the fundamental component. To this aim, the different contributions of positive-sequence and negative-sequence harmonics is explained and pu
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Wang, Xiangrong, and Guangtian Shi. "Analysis of harmonic influence of improved PFC circuit on SS4G electric locomotive." Journal of Physics: Conference Series 2260, no. 1 (2022): 012032. http://dx.doi.org/10.1088/1742-6596/2260/1/012032.

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Abstract Compared with active filter, PFC circuit has simple structure and convenient operation. Introducing it into SS4G electric locomotive can greatly reduce system harmonics. Therefore, firstly, the corresponding PFC circuit is built, and the suppression measures of peak section and discontinuous section are proposed. By improving the discontinuous section, the waveform conduction angle is expanded from 129.564° to 162.882°. Accordingly, the current harmonic at the input side is reduced from 27.38% to 16.19%. After the voltage multiplier is further introduced, the harmonic is reduced to 15
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Jiang, Peiyu, Zhanlong Zhang, Zijian Dong, and Yu Yang. "Vibration Measurement and Numerical Modeling Analysis of Transformer Windings and Iron Cores Based on Voltage and Current Harmonics." Machines 10, no. 9 (2022): 786. http://dx.doi.org/10.3390/machines10090786.

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The operating condition and structural state of the converter transformer are closely related to vibration. Abundant harmonics aggravate the vibration of windings and iron cores, resulting in frequent mechanical structural failures, which seriously affect the stable operation of the power system. Traditional research mainly focuses on the vibration of AC transformers without harmonics and there is no in-depth discussion of the vibration mechanism and the numerical calculation model of windings and iron cores under harmonics. In addition, the influence of harmonics, winding connection method an
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Dissertations / Theses on the topic "Harmonic analysis"

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Wright, P. S. "The accurate analysis of smoothly fluctuating harmonics applied to the calibration of harmonic analysers." Thesis, University of Surrey, 2002. http://epubs.surrey.ac.uk/843265/.

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The aim of this research is to develop an accurate method for the analysis of signals composed of fluctuating harmonics. The results obtained of analysis are applied to the calibration of harmonic analysis instruments. A new method is presented suitable for the accurate analysis of smoothly fluctuating harmonic signals. The method is based on a model of signals with a known period, in which the harmonics are individually modulated by polynomial functions normalised over a sampled signal sequence time. Using this model, a decomposition method is developed such that the modulating polynomials ca
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Scurry, James. "One and two weight theory in harmonic analysis." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/47565.

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This thesis studies several problems dealing with weighted inequalities and vector-valued operators. A weight is a nonnegative locally integrable function, and weighted inequalities refers to studying a given operator's continuity from one weighted Lebesgue space to another. The case where the underlying measure of both Lebesgue spaces is given by the same weight is known as a one weight inequality and the case where the weights are different is called a two weight inequality. These types of inequalities appear naturally in harmonic analysis from attempts to extend classical results to functio
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Lak, Rashad Rashid Haji. "Harmonic analysis using methods of nonstandard analysis." Thesis, University of Birmingham, 2015. http://etheses.bham.ac.uk//id/eprint/5754/.

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Throughout this research we use techniques of nonstandard analysis to derive and interpret results in classical harmonic analysis particularly in topological (metric) groups and theory of Fourier series. We define monotonically definable subset \(N\) of a nonstandard *finite group \(F\), which is the monad of the neutral element of \(F\) for some invariant *metric \(d\) on \(F\). We prove some nice properties of \(N\) and the nonstandard metrisation version of first-countable Hausdorff topological groups. We define locally embeddable in finite metric groups (LEFM). We show that every abelian g
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Van, der Merwe Marius. "Harmonic mixer analysis and design." Thesis, Stellenbosch : Stellenbosch University, 2002. http://hdl.handle.net/10019.1/52872.

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Thesis (MScEng) -- Stellenbosch University, 2002.<br>Some digitised pages may appear illegible due to the condition of the original hard copy.<br>ENGLISH ABSTRACT: Harmonic mixers are capable of extended frequency operation by mixing with a harmonic of the LO (local oscillator) signal, eliminating the need for a high frequency, high power LO. Their output spectra also have certain characteristics that make them ideal for a variety of applications. The operation of the harmonic mixer is investigated, and the mixer is analyzed using an extension of the classic mixer theory. The synthesis of
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Li, Jialun. "Harmonic analysis of stationary measures." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0311/document.

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Soit μ une mesure de probabilité borélienne sur SL m+1 (R) tel que le sous-groupe engendré par le support de μ est Zariski dense. Soit V une représentation irréductible de dimension finie de SL m+1 (R). D’après un théorème de Furstenberg, il existe une unique mesure μ-stationnaire sur PV et nous nous somme intéressés à la décroissance de Fourier de cette mesure. Le résultat principal de cette thèse est que la transformée de Fourier de la mesure stationnaire a une décroissance polynomiale. À partir de ce résultat, nous obtenons un trou spectral de l’opérateur de transfert, dont les propriétés n
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Thunberg, Erik. "On the Benefit of Harmonic Measurements in Power Systems." Doctoral thesis, Stockholm, 2001. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3219.

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Smith, Zachary J. "The Bochner Identity in Harmonic Analysis." Fogler Library, University of Maine, 2007. http://www.library.umaine.edu/theses/pdf/SmithZJ2007.pdf.

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Chung, Kin Hoong School of Mathematics UNSW. "Compact Group Actions and Harmonic Analysis." Awarded by:University of New South Wales. School of Mathematics, 2000. http://handle.unsw.edu.au/1959.4/17639.

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A large part of the structure of the objects in the theory of Dooley and Wildberger [Funktsional. Anal. I Prilozhen. 27 (1993), no. 1, 25-32] and that of Rouviere [Compositio Math. 73 (1990), no. 3, 241-270] can be described by considering a connected, finite-dimentional symmetric space G/H (as defined by Rouviere), with ???exponential map???, Exp, from L G/L H to G/H, an action, ???: K ??? Aut??(G) (where Aut?? (G) is the projection onto G/H of all the automorphisms of G which leave H invariant), of a Lie group, K, on G/H and the corresponding action, ???# , of K on L G/L H defined by g ??? L
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Digby, G. "Harmonic analysis of A.C. traction schemes." Thesis, Swansea University, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.233938.

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Xu, Zengfu. "Harmonic analysis on Chébli-Trimèche hypergroups." Thesis, Xu, Zengfu (1994) Harmonic analysis on Chébli-Trimèche hypergroups. PhD thesis, Murdoch University, 1994. https://researchrepository.murdoch.edu.au/id/eprint/51538/.

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In this thesis we develop the theory on Chebli-Trimeche hypergroups of such topics as maximal functions, the convergence and boundedness of certain convolution operator families in Lp spaces and Hardy spaces as well as Fourier multipliers. As the basis of the theory we first investigate the Schwartz classes, Plancherel measure and hypergroup characters on these hypergroups, and establish basic facts about approximations to the identity and the important results concerning Fourier transforms and the estimates for the Plancherel measure and characters. These lead to estimates for the translation
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Books on the topic "Harmonic analysis"

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Helson, Henry. Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0.

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Eymard, Pierre, and Jean-Paul Pier, eds. Harmonic Analysis. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086584.

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Cheng, Min-Teh, Dong-Gao Deng, and Xing-Wei Zhou, eds. Harmonic Analysis. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0087751.

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Ash, J. Marshall, and Roger L. Jones, eds. Harmonic Analysis. American Mathematical Society, 2006. http://dx.doi.org/10.1090/conm/411.

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Helson, Henry. Harmonic Analysis. Hindustan Book Agency, 2010. http://dx.doi.org/10.1007/978-93-86279-47-7.

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Simon, Barry. Harmonic analysis. American Mathematical Society, 2015.

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Helson, Henry. Harmonic analysis. Wadsworth & Brooks/Cole Advanced Books & Software, 1991.

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Petrovich, Khavin Viktor, and Nikolʹskiĭ N. K, eds. Commutative harmonic analysis IV: Harmonic analysis in IRn̳. Springer-Verlag, 1992.

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Colella, David, ed. Commutative Harmonic Analysis. American Mathematical Society, 1989. http://dx.doi.org/10.1090/conm/091.

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Delorme, Patrick, and Michèle Vergne, eds. Noncommutative Harmonic Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8204-0.

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Book chapters on the topic "Harmonic analysis"

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Helson, Henry. "Fourier Series and Integrals." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_1.

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Helson, Henry. "The Fourier Integral." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_2.

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Helson, Henry. "Hardy Spaces." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_3.

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Helson, Henry. "Conjugate Functions." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_4.

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Helson, Henry. "Translation." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_5.

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Helson, Henry. "Distribution." In Harmonic Analysis. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-7181-0_6.

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Pier, Jean-Paul. "Some views on the evolution of harmonic analysis." In Harmonic Analysis. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086585.

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Mackey, George W. "Induced representations and the applications of harmonic analysis." In Harmonic Analysis. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086586.

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Akkouchi, Mohamed. "Une caracterisation du noyau de Poisson d'un arbre eomogene." In Harmonic Analysis. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086587.

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Anker, Jean-Philippe. "Le noyau de la chaleur sur les espaces symetriques U(p,q)/U(p)×U(q)." In Harmonic Analysis. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0086588.

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Conference papers on the topic "Harmonic analysis"

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Clue, Vladimir. "Harmonic analysis." In 2004 IEEE Electro/Information Technology Conference - (EIT). IEEE, 2004. http://dx.doi.org/10.1109/eit.2004.4569366.

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Zhu, Xuanwei, Buping Jin, and Huibin Qin. "Harmonic generator." In 2012 International Conference on Image Analysis and Signal Processing (IASP). IEEE, 2012. http://dx.doi.org/10.1109/iasp.2012.6425078.

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Yu, Jingwen, Boying Wen, and Hui Xue. "Transitory Harmonic Analysis Using Harmonic Distribution Map." In 2009 Asia-Pacific Power and Energy Engineering Conference. IEEE, 2009. http://dx.doi.org/10.1109/appeec.2009.4918945.

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Wan, Yifan. "Harmonic analysis in tide analysis." In Second International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2022), edited by Shi Jin and Wanyang Dai. SPIE, 2023. http://dx.doi.org/10.1117/12.2672678.

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Shimada, Yoshihito. "White noise distribution theory and its application." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-21.

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Szafraniec, Franciszek Hugon. "Operators of the q-oscillator." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-22.

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Banica, Teodor, Julien Bichon, and Benoît Collins. "Quantum permutation groups: a survey." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-1.

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Fendle, Gero, Karlheinz Gröchenig, and Michael Leinert. "On spectrality of the algebra of convolution dominated operators." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-10.

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Hiai, Fumio, and Dénes Petz. "A new approach to mutual information." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-11.

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Hinz, Melanie, and Wojciech Młotkowski. "Free cumulants of some probability measures." In Noncommutative Harmonic Analysis with Applications to Probability. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc78-0-12.

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Reports on the topic "Harmonic analysis"

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Niederer, J. BNL MAD: Harmonic Analysis Commands. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/1151361.

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Ferreira, Milton. Harmonic Analysis on the Einstein Gyrogroup. Jgsp, 2014. http://dx.doi.org/10.7546/jgsp-35-2014-21-60.

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Tolbert, L. M. Completion report harmonic analysis of electrical distribution systems. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/285500.

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Bazilenko, A. I., and L. E. Osipova. A Chrestomathy on harmonic analysis in 6 parts. Ailamazyan Program Systems Institute of Russian Academy of Sciences, 2025. https://doi.org/10.12731/ofernio.2025.25473.

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Casey, Stephen D. Number Theoretic Methods in Harmonic Analysis: Theory and Application. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada413800.

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Bernatska, Julia, and Petro Holod. • Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems. GIQ, 2012. http://dx.doi.org/10.7546/giq-14-2013-61-73.

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Bernatska and Petro Holod, Julia Bernatska and Petro Holod. Harmonic Analysis on Lagrangian Manifolds of Integrable Hamiltonian Systems. Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-29-2013-39-51.

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Casey, Stephen D. Signal Reconstruction and Analysis Via New Techniques in Harmonic and Complex Analysis. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada440756.

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Mickens, Ronald, and Kale Oyedeji. Dominant Balance Analysis of the Fractional Power Damped Harmonic Oscillator. Atlanta University Center Robert W. Woodruff Library, 2019. http://dx.doi.org/10.22595/cau.ir:2020_mickens_oyedeji_harmonic_oscillator.

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Stoughton, R. S., and J. E. Deibler. Harmonic analysis of a representative Generation One Tank Waste Retrieval Manipulator. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10148566.

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