Relevant bibliographies by topics / Slice Regular Functions

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

Academic literature on the topic 'Slice Regular Functions'

Author: Grafiati
Published: 10 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Slice Regular Functions"

1

Altavilla, A., and C. de Fabritiis. "$*$-exponential of slice-regular functions." Proceedings of the American Mathematical Society 147, no. 3 (2018): 1173–88. http://dx.doi.org/10.1090/proc/14307.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Sheaves of slice regular functions." Mathematische Nachrichten 285, no. 8-9 (2012): 949–58. http://dx.doi.org/10.1002/mana.201000149.

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Stoppato, Caterina. "Singularities of slice regular functions." Mathematische Nachrichten 285, no. 10 (2012): 1274–93. http://dx.doi.org/10.1002/mana.201100082.

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Zhenghua, Xu, and Wang Ermin. "Proper slice regular functions over quaternions." SCIENTIA SINICA Mathematica 51, no. 12 (2020): 1975. http://dx.doi.org/10.1360/scm-2018-0858.

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Altavilla, Amedeo. "Twistor interpretation of slice regular functions." Journal of Geometry and Physics 123 (January 2018): 184–208. http://dx.doi.org/10.1016/j.geomphys.2017.09.007.

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Ren, Guangbin, and Xieping Wang. "Carathéodory Theorems for Slice Regular Functions." Complex Analysis and Operator Theory 9, no. 5 (2014): 1229–43. http://dx.doi.org/10.1007/s11785-014-0432-9.

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Ren, Guangbin, and Xieping Wang. "Julia theory for slice regular functions." Transactions of the American Mathematical Society 369, no. 2 (2016): 861–85. http://dx.doi.org/10.1090/tran/6717.

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Dou, Xinyuan, Guangbin Ren, Irene Sabadini, and Ting Yang. "Weak Slice Regular Functions on the n-Dimensional Quadratic Cone of Octonions." Journal of Geometric Analysis 31, no. 11 (2021): 11312–37. http://dx.doi.org/10.1007/s12220-021-00682-5.

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AbstractIn the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one consists in requiring that the restriction to any complex plane is holomorphic (with the same complex structure of the complex plane), the second one makes use of stem and slice functions. So far, in the setting of several hypercomplex variables, only the second approach has been considered, i.e. the one based on stem functions. In this paper, we use instead the first definition on the so-called n-dimensional quadratic cone of octonions.
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de Fabritiis, Chiara. "Transcendental operators acting on slice regular functions." Concrete Operators 9, no. 1 (2022): 6–18. http://dx.doi.org/10.1515/conop-2022-0002.

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Abstract The aim of this paper is to carry out an analysis of five trascendental operators acting on the space of slice regular functions, namely *-exponential, *-sine and *-cosine and their hyperbolic analogues. The first three of them were introduced by Colombo, Sabadini and Struppa and some features of *-exponential were investigated in a previous paper by Altavilla and the author. We show how exp*(f ), sin*(f ), cos*(f ), sinh*(f ) and cosh*(f ) can be written in terms of the real and the vector part of the function f and we examine the relation between cos* and cosh* when the domain Ω is
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Ghiloni, R., and A. Perotti. "Slice regular functions on real alternative algebras." Advances in Mathematics 226, no. 2 (2011): 1662–91. http://dx.doi.org/10.1016/j.aim.2010.08.015.

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Dissertations / Theses on the topic "Slice Regular Functions"

1

Altavilla, Amedeo. "Quaternionic slice regular functions on domains without real points." Doctoral thesis, Università degli studi di Trento, 2014. https://hdl.handle.net/11572/368416.

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In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space.
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Altavilla, Amedeo. "Quaternionic slice regular functions on domains without real points." Doctoral thesis, University of Trento, 2014. http://eprints-phd.biblio.unitn.it/1089/2/Thesis.pdf.

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In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space.
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Gabrielli, Andrea. "Defining, calculating and reasoning in Higher-Order Logic: Complex and Hypercomplex Analysis and applications." Doctoral thesis, 2018. http://hdl.handle.net/2158/1160982.

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The occasional ambiguity of traditional mathematical notations, and the increasing complexity of proofs, has led to the situation that the use of a proof-verification system is desirable if not, in some situations, unavoidable. Moreover, by merging calculation techniques and proofs, theorem provers also allow a deep interconnection of the three basic mathematical activities, that is, defining, calculating and reasoning. In this thesis we explore such activities from different points of view, dealing with complex and hypercomplex analysis and computability theory using the HOL Light theorem p
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Books on the topic "Slice Regular Functions"

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. Entire Slice Regular Functions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49265-0.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. Entire Slice Regular Functions. Birkhauser Verlag, 2017.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. Entire Slice Regular Functions. Springer, 2016.

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Sabadini, Irene, and Sorin G. Gal. Quaternionic Approximation: With Application to Slice Regular Functions. Springer International Publishing AG, 2019.

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Book chapters on the topic "Slice Regular Functions"

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Slice Regular Functions: Algebra." In SpringerBriefs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49265-0_2.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Slice Regular Functions: Analysis." In SpringerBriefs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49265-0_3.

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Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. "Growth of Entire Slice Regular Functions." In SpringerBriefs in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49265-0_5.

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4

Vlacci, Fabio. "Regular Composition for Slice-Regular Functions of Quaternionic Variable." In Advances in Hypercomplex Analysis. Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2445-8_9.

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Gal, Sorin G., and Irene Sabadini. "Approximation of Slice Regular Functions in Compact Sets." In Frontiers in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10666-9_4.

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Della Rocchetta, Chiara, Graziano Gentili, and Giulia Sarfatti. "A Bloch-Landau Theorem for Slice Regular Functions." In Advances in Hypercomplex Analysis. Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2445-8_4.

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Ren, Guangbin, Xieping Wang, and Zhenghua Xu. "Slice Regular Functions on Regular Quadratic Cones of Real Alternative Algebras." In Trends in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42529-0_13.

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Colombo, Fabrizio, J. Oscar González-Cervantes, Maria Elena Luna-Elizarrarás, Irene Sabadini, and Michael Shapiro. "On Two Approaches to the Bergman Theory for Slice Regular Functions." In Advances in Hypercomplex Analysis. Springer Milan, 2013. http://dx.doi.org/10.1007/978-88-470-2445-8_3.

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Gentili, Graziano, and Caterina Stoppato. "The Zero Sets of Slice Regular Functions and the Open Mapping Theorem." In Hypercomplex Analysis and Applications. Springer Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0246-4_7.

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Hanahan, Donald J. "Introduction to Lipids." In A Guide to Phospholipid Chemistry. Oxford University Press, 1997. http://dx.doi.org/10.1093/oso/9780195079814.003.0004.

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Concomitant with the explosive development and progress made in the field of molecular biology, initiated by development and proof of the double helix structure of DNA some 40 years ago, there has been a much more subdued, but equally exciting and important, development in the area of signal transduction (Nishizuka, 1992; Berridge, 1984; Exton, 1990). What makes the latter subject so enchanting to biochemists is the finding that membrane phospholipids are intimately involved in the transduction process. Interestingly, the potential role of phospholipids in the signal transduction pathway was f
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Conference papers on the topic "Slice Regular Functions"

1

Yang, Yehui, Yong Deng, Baoxing Li, and Xu Zhao. "Part-aware Surface Slice and Polarization Implicit Function with Regular Discretization for 3D Human Surface Reconstruction." In 2024 IEEE International Conference on Real-time Computing and Robotics (RCAR). IEEE, 2024. http://dx.doi.org/10.1109/rcar61438.2024.10671077.

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Ghiloni, R., and A. Perotti. "Slice regular functions of several Clifford variables." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765569.

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Nashold, Karen M., and B. E. A. Saleh. "Generation of bandlimited images from unequally spaced slices." In OSA Annual Meeting. Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.mo5.

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It is often desired to generate a 2-D bandlimited function f (x,y), which when thresholded has specified edges. This is the case, for example, in generating binary masks through diffraction-limited systems. It has been shown in the past that bandlimited images can be constructed from slices which are themselves generated using 1-D methods. No emphasis, however, was placed on where the slices should be made. If an exact solution exists, and the slices are produced at distances separated by 1/2B (B being the required bandwidth in the y direction), f(x,y) can be found by simply low pass filtering
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Sakaida, Shohei, Ding Zhu, and A. D. Hill. "Development of Comprehensive and Efficient DTS Interpretation Method for Fracture Diagnosis." In 2022 SPWLA 63rd Annual Symposium. Society of Petrophysicists and Well Log Analysts, 2022. http://dx.doi.org/10.30632/spwla-2022-0025.

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Distributed temperature sensing (DTS) by fiber optic technology has been commonly used to evaluate the fracturing treatment efficiency. Once DTS data is quantitively interpreted, we can estimate injected fluid volume distribution along each stimulated stage interval, and it allows us to analyze and optimize completion design such as injection schedule, fluid/proppant types, and perforation design. In general, the DTS data can be interpreted by conducting temperature profile matching. After pumping is stopped, the perforation clusters that take more fluid during injection warm up more slowly. B
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Luniya, Tanmay, and Geetha Chimata. "Extending the Life of Classic Cars, the Additive Manufacturing Way." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-70355.

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Abstract There has been a steadily increasing global market for Additively Manufactured (AM) products, with a growth forecast of USD 23.75 billion by 2027. Of the various industrial sectors applying AM, the automotive/motor vehicles market takes up approximately 18% share. Saying AM is being widely used in the automotive sector with rapidly growing application avenues is not an overstatement. One such section of the automotive industry is the classic cars. Classic cars are 20 years or more older cars no longer in regular production, preserved and restored for their historical value. Classic ca
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Nishimura, Kazuhiko, Yoshiaki Terumichi, Tsutomu Morimura, and Kiyoshi Sogabe. "Development of Vehicle Dynamics Simulation for Safety Analyses of Rail Vehicles on Excited Tracks." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34474.

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Considerable numbers of earthquake disasters have been experienced in Japan. Thus the study and research of earthquake disaster prevention are highly awarded in Japan. In a railway industry, for instance, infrastructures have been reinforced and a new alert system has been employed to regulate the operating system to stop trains immediately if a great earthquake occurs. A railway is organized by a variety of individual technologies, and functions safely and properly as a system, therefore it is beneficial for the system safety to study and examine the individual potential cases of disasters ca
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