Academic literature on the topic 'Calderón projection'

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Journal articles on the topic "Calderón projection"

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Booß-Bavnbek, Bernhelm, Matthias Lesch, and Chaofeng Zhu. "The Calderón projection: New definition and applications." Journal of Geometry and Physics 59, no. 7 (July 2009): 784–826. http://dx.doi.org/10.1016/j.geomphys.2009.03.012.

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Ortiz Fernández, Alejandro. "Singular integral operators, a brief historical overview of its evolution." Selecciones Matemáticas 9, no. 01 (June 30, 2022): 1–23. http://dx.doi.org/10.17268/sel.mat.2022.01.01.

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In this work we give an analytical-historical view of the classical theory of singular integrals introduced by A.P. Calderón-A. Zygmund. Emphasis is given to their applications to PDEs and to some projections of the theory.
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Sanmartino, Marcela. "The Calderón Projector for an elliptic operator in divergence form." Journal of Fourier Analysis and Applications 7, no. 6 (November 2001): 615–31. http://dx.doi.org/10.1007/bf02513079.

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Perlmutter, Michael. "On a Class of Calderón-Zygmund Operators Arising from Projections of Martingale Transforms." Potential Analysis 42, no. 2 (September 26, 2014): 383–401. http://dx.doi.org/10.1007/s11118-014-9438-1.

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Himpel, Benjamin, Paul Kirk, and Matthias Lesch. "Calderón Projector for the Hessian of the perturbed Chern–Simons function on a 3-manifold with boundary." Proceedings of the London Mathematical Society 89, no. 01 (June 30, 2004): 241–72. http://dx.doi.org/10.1112/s0024611504014728.

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Castaldo, Raffaele, Pietro Tizzani, and Giuseppe Solaro. "Inflating Source Imaging and Stress/Strain Field Analysis at Campi Flegrei Caldera: The 2009–2013 Unrest Episode." Remote Sensing 13, no. 12 (June 11, 2021): 2298. http://dx.doi.org/10.3390/rs13122298.

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In this study, we analyze the 2009–2013 uplift phenomenon at Campi Flegrei (CF) caldera in terms of temporal and spatial variations in the stress/strain field due to the effect of an inflating source. We start by performing a 3D stationary finite element (FE) modeling of X-band COSMO-SkyMed DInSAR and GPS mean velocities to retrieve the geometry and location of the deformation source. The modeling results suggest that the best-fit source is a three-axis oblate spheroid ~3 km deep, which is mostly elongated in the NE–SW direction. Furthermore, we verify the reliability of model results by calculating the total horizontal derivative (THD) of the modeled vertical velocity component; the findings emphasize that the THD maxima overlap with the projection of source boundaries at the surface. Then, we generate a 3D time-dependent FE model, comparing the spatial and temporal distribution of the shear stress and volumetric strain with the seismic swarms beneath the caldera. We found that low values of shear stress are observed corresponding with the shallow hydrothermal system where low-magnitude earthquakes occur, whereas high values of shear stress are found at depths of about 3 km, where high-magnitude earthquakes nucleate. Finally, the volumetric strain analysis highlights that the seismicity occurs mainly at the border between compression and dilatation modeled regions, and some seismic events occur within compression regions.
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Knight, Charles L. F., Heng Hu, Michael D. Glascock, and Stephen A. Nelson. "OBSIDIAN SUB-SOURCES AT THE ZARAGOZA-OYAMELES QUARRY IN PUEBLA, MEXICO: SIMILARITIES WITH ALTOTONGA AND THEIR DISTRIBUTION THROUGHOUT MESOAMERICA." Latin American Antiquity 28, no. 1 (March 2017): 46–65. http://dx.doi.org/10.1017/laq.2016.2.

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We present data produced through archaeological and geological survey, as well as geochemical analysis of the Zaragoza-Oyameles obsidian source area located on the northern and western flanks of the Los Humeros Caldera in eastern Puebla, Mexico. One result of the intensive archaeological surface survey of this obsidian source area was the identification of 117 obsidian flow-band exposures. Geologic samples from 40 of these were submitted for instrumental neutron activation analysis. Eighty-five projectile points collected from the surface were characterized using portable X-ray fluorescence. These analyses identified three sub-sources: Z-O1, Potreros Caldera, and Gomez Sur. The Gomez Sur sub-source appears chemically similar to the previously identified Altotonga source, located 25 km to the northeast. Results of the geological survey help elucidate the relationship of Altotonga obsidian with the Zaragoza-Oyameles source area. The data from the three sub-sources are compared to all consumer site data attributed to the Zaragoza-Oyameles source in the Missouri University Research Reactor database. Results indicate that the majority of consumer samples throughout Mesoamerica match the Z-O1 sub-source, while 4 percent match the Potreros Caldera sub-source. This information, combined with the Gomez Sur data, is discussed in terms of economic relations with the regional center of Cantona. Obsidian procurement and distribution may have been more nuanced than previously modeled. We suggest that a number of potentially independent communities in addition to Cantona may have been involved in distributing this obsidian throughout Mesoamerica.
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Hendrickx, Michel E., and Manuel Ayón-Parente. "Two new species of deep-water Caprella (Peracarida, Amphipoda, Caprellidae) from the Pacific coast of Mexico collected during the TALUD XIV cruise, with a checklist of species of Caprellidae recorded for the eastern Pacific." Crustaceana 87, no. 1 (2014): 41–63. http://dx.doi.org/10.1163/15685403-00003277.

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Two new deep-water species of the genus Caprella are described from the central Gulf of California, Pacific coast of Mexico. Caprella calderoni new species is distinguished from the 32 previously recorded species of Caprella from the eastern Pacific by its smooth forehead and pereonites, body not particularly slender, gnathopod 2 inserted at about mid-length of the second pereonite, elongated gills and gnathopod 1, the relative length of antenna 2 articles, length of the flagellum of antenna 1, the lack of an antero-lateral projection on pereonites 2 and 3, and the length-height proportion of pereonite 1. It is close to C. striata Mayer, 1903, recorded from Alaska. Caprella striata, however, features a different number of articles in the antenna 1 flagellum, two latero-posterior spines on pereonites 6, a small dorsal tubercle on pereonites 5 and 6, and a poison spine on the propodus of gnathopod 2 (all lacking in the new species). The buccal appendages also present significant differences. Caprella mercedesae new species, belongs to a group of eastern Pacific species with a sharp spine on the forehead. It is distinguished from all these species by a combination of characters, including the general shape of the body (not robust), the insertion level of gnathopod 2, its general shape, and the relative length of its dactylus, the relative length of antennae 1 and 2, the shape and relative length of the gills, the proportionally shorter or longer pereonites, and the presence of dorsal tubercles on at least pereonites 5-7 (absent in the new species).
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Di Plinio, Francesco, Kangwei Li, Henri Martikainen, and Emil Vuorinen. "Banach-Valued Multilinear Singular Integrals with Modulation Invariance." International Mathematics Research Notices, September 9, 2020. http://dx.doi.org/10.1093/imrn/rnaa234.

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Abstract We prove that the class of trilinear multiplier forms with singularity over a one-dimensional subspace, including the bilinear Hilbert transform, admits bounded $L^p$-extension to triples of intermediate $\operatorname{UMD}$ spaces. No other assumption, for instance of Rademacher maximal function type, is made on the triple of $\operatorname{UMD}$ spaces. Among the novelties in our analysis is an extension of the phase-space projection technique to the $\textrm{UMD}$-valued setting. This is then employed to obtain appropriate single-tree estimates by appealing to the $\textrm{UMD}$-valued bound for bilinear Calderón–Zygmund operators recently obtained by the same authors.
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Rodríguez Villar, Alejandra Juno. "A Neuroscientific and Cognitive Literary Approach to the Treatment of Time in Calderón’s Autos sacramentales." Frontiers in Integrative Neuroscience 16 (March 28, 2022). http://dx.doi.org/10.3389/fnint.2022.780701.

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Time processing is a fundamental subject in cognitive sciences and neuroscience. Current research is deepening how our brains process time, revealing its essential role in human functionality and survival. In his autos sacramentales, Early Modern Spanish playwright Pedro Calderón de la Barca portrays the relationships between human inner workings and the Christian concept of time. These plays portray the experience of the present, the perception of the flow of time, the measure of time raging from seconds to eternity, and the mental travel necessary to inhabit the past and future with the help of memory and imagination. Calderón explores how the dramatic form can portray all these temporal phenomena and how that portrait of time can constrain the dramatic structure. The different parts of the brain in charge of executive decisions, projections, memories, computation, and calibration are the basis that leads these characters to make the choices that will take them to the future they have cast for themselves. This paper analyzes how the processes that Calderón ascribed to the soul of his characters in the 17th century relate to ongoing cognitive and neuroscientific findings.
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Dissertations / Theses on the topic "Calderón projection"

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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission problem. This method uses a boundary integral operator, the rotation operator, which factorises the double layer potential operator. We prove spectral estimates for this rotation operator in finite energy norms using Hodge decompositions on weakly Lipschitz domains. To ensure that solutions to the Dirac transmission problem indeed solve Maxwell’s equations, we introduce an exterior/interior derivative operator acting in the trace space. By showing that this operator commutes with the two basic reflection operators, we are able to prove that the Maxwell transmission problem is well posed. We also prove well-posedness for a class of oblique Dirac transmission problems with a strongly Lipschitz interface, in the L_2 space on the interface. This is shown by employing the Rellich technique, which gives angular spectral estimates on the rotation operator.
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Schulze, Bert-Wolfgang, Boris Sternin, and Victor Shatalov. "On general boundary value problems for elliptic equations." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2513/.

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We construct a theory of general boundary value problems for differential operators whose symbols do not necessarily satisfy the Atiyah-Bott condition [3] of vanishing of the corresponding obstruction. A condition for these problems to be Fredholm is introduced and the corresponding finiteness theorems are proved.
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Axelsson, Andreas. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." Phd thesis, 2002. http://hdl.handle.net/1885/46056.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface, in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission problem. This method uses a boundary integral operator, the rotation operator, which factorises the double layer potential operator. We prove spectral estimates for this rotation operator in finite energy norms using Hodge decompositions on weakly Lipschitz domains. To ensure that solutions to the Dirac transmission problem indeed solve Maxwell’s equations, we introduce an exterior/interior derivative operator acting in the trace space. By showing that this operator commutes with the two basic reflection operators, we are able to prove that the Maxwell transmission problem is well posed. We also prove well-posedness for a class of oblique Dirac transmission problems with a strongly Lipschitz interface, in the L_2 space on the interface. This is shown by employing the Rellich technique, which gives angular spectral estimates on the rotation operator.
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Book chapters on the topic "Calderón projection"

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Booß-Bavnbek, Bernhelm, and Krzysztof P. Wojciechowski. "Calderón Projector for Dirac Operators." In Elliptic Boundary Problems for Dirac Operators, 75–94. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0337-7_12.

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Brown, Richard H. "Losing the Ground." In Through The Looking Glass, 91–138. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190628079.003.0004.

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This chapter centers on the relationships between acoustic projection and cinematic space. I start with Cage’s rhetoric on the medium of magnetic tape as the second transformation of sound materiality. Building on Julia Robinson’s notion of “symbolic investiture,” I survey the divided interpretations of Cage’s platform between musicologists that decode his music according to style analysis that established a compositional logic for his move to indeterminacy and the larger debate among art historians on the split between Neo-Avant-Garde and Abstract Expressionist aesthetics. I argue that Cage’s interaction with film and filmmakers provides a meeting ground for these debates within cinematic space in two films: Cage’s score for the Herbert Matter documentary on sculptor Alexander Calder and colleague Morton Feldman’s score for the Hans Namuth and Paul Falkenberg documentary on Abstract Expressionist painter Jackson Pollock. Both artists saw these commissions as opportunities to formalize connections between their compositional approaches to sound and the visual approach to space, kinetic movement, and ground revealed in the time-based poetics of the moving image. Last, I examine a film collaboration I discovered with the sculptor Richard Lippold that documented his monumental wire sculpture, “The Sun,” in which Cage and Lippold applied chance procedures to the editing process. Lippold’s commission came about as a result of his split with the so-called Irascible 18 collective of New York artists, and the history of its commission and reception reflects both an ideological divide on the materiality of sculpture and larger postwar McCarthy-era politics of passivity and resistance.
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Conference papers on the topic "Calderón projection"

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HSIAO, G. C., and W. L. WENDLAND. "A CHARACTERIZATION OF THE CALDERÓN PROJECTOR FOR THE BIHARMONIC EQUATION." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0003.

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Chamberlin, Richard M., William C. McIntosh, and Lisa Peters. "40Ar/39Ar Geochronlogy of the Jones Camp Dike, central New Mexico: an eastward projection of the Magdalena Radial Dike Swarm from under the Oligocene Socorro-Magdalena Caldera Cluster." In 60th Annual Fall Field Conference. New Mexico Geological Society, 2009. http://dx.doi.org/10.56577/ffc-60.337.

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