Výsledky vyhledávání - Calculus of functions on infinite-dimensional spaces

Spectral Geometry of Partial Differential Operators

Autoři: Ruzhansky, Michael Sadybekov, Makhmud Suragan, Durvudkhan

Témata: Hardy Littlewood Inequality, Lebesgue integral, Vlasov Poisson Equations, bounded linear operators, Vlasov Poisson System, Fredholm operators, Generalised Derivative, Riesz' inequality, Nonnegative Measurable Functions, spectral geometry, Symmetric Rearrangement, Dirichlet Laplacian, Euler Poisson System, partial differential operators, spectral invariants, linear differential operators, Banach Space, Separable Infinite Dimensional Hilbert Space, Linear Normed Space, Cauchy Sequence, Hilbert Space, Linear Space, Functional analysis and transforms, Mathematical physics, Probability and statistics, Differential calculus and equations, Applied mathematics

Popis souboru: application/pdf

Relation: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Přístupová URL adresa: https://library.oapen.org/handle/20.500.12657/101514

Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces.

Autoři: Glöckner, Helge¹ (AUTHOR) glockner@math.upb.de

Zdroj: Axioms (2075-1680). May2022, Vol. 11 Issue 5, p221. 38p.

Témata: *VECTOR bundles, *VECTOR spaces, *OPERATOR functions, *VECTOR fields, *TENSOR products, *DIFFERENTIAL calculus, *VECTOR topology

The first fundamental theorem of calculus for functions defined on wasserstein space

Autoři: Erny, Xavier Institut Polytechnique de Paris (IP Paris) Communications, Images et Traitement de l'Information (TSP - CITI) a další

Přispěvatelé: Erny, Xavier Institut Polytechnique de Paris (IP Paris) Communications, Images et Traitement de l'Information (TSP - CITI) a další

Zdroj: https://hal.science/hal-05316620 ; 2025.

Témata: Measure-variable function, Linear functional differentiability, Wasserstein space, MSC 2020: 46G05, 46T20, 28A33, [MATH]Mathematics [math]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2510.13640; ARXIV: 2510.13640

Dostupnost: https://hal.science/hal-05316620
https://hal.science/hal-05316620v1/document
https://hal.science/hal-05316620v1/file/analysMesV6.pdf
https://doi.org/10.48550/arXiv.2510.13640

Conforming finite element function spaces in four dimensions, part II: The pentatope and tetrahedral prism.

Autoři: Williams, David M. Nigam, Nilima

Zdroj: Computers & Mathematics with Applications. Aug2024, Vol. 167, p21-53. 33p.

Témata: *FUNCTION spaces, *FINITE element method, *PRISMS, *LINEAR algebra, *DEGREES of freedom

Prox-regular functions in Hilbert spaces

Autoři: Frédéric Bernard Lionel Thibault

Zdroj: Journal of Mathematical Analysis and Applications. 303:1-14

Témata: Calculus of functions on infinite-dimensional spaces, proximal mapping, Derivatives of functions in infinite-dimensional spaces, prox-regular function, Applied Mathematics, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, subdifferential, primal lower nice function, 0101 mathematics, 01 natural sciences, Analysis, Moreau envelope

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2141737
https://doi.org/10.1016/j.jmaa.2004.06.003
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04004718
http://ui.adsabs.harvard.edu/abs/2005JMAA..303....1B/abstract
https://core.ac.uk/display/82003022
https://www.sciencedirect.com/science/article/pii/S0022247X04004718

Application of the functional calculus to solving of infinite dimensional heat equation

Autoři: S.V. Sharyn

Zdroj: Karpatsʹkì Matematičnì Publìkacìï, Vol 8, Iss 2, Pp 313-322 (2016)

Témata: infinite dimensional heat equation, gross laplacian, space of polynomial ultradifferentiable functions, space of polynomial ultradistributions, Mathematics, QA1-939

Popis souboru: electronic resource

Relation: https://journals.pnu.edu.ua/index.php/cmp/article/view/1438; https://doaj.org/toc/2075-9827; https://doaj.org/toc/2313-0210

Přístupová URL adresa: https://doaj.org/article/a658761eed9c4c77898f64c47ecb1cf2

Extensions of generalized differential calculus in Asplund spaces

Autoři: Bingwu Wang Boris S. Mordukhovich

Zdroj: Journal of Mathematical Analysis and Applications. 272:164-186

Témata: Calculus of functions on infinite-dimensional spaces, generalized differential calculus, Asplund spaces, Applied Mathematics, Nonsmooth analysis, coderivatives, set-valued mappings, 0101 mathematics, subdifferentials, 01 natural sciences, normal cones, Analysis, Set-valued and variational analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0022247X0200149X
https://www.sciencedirect.com/science/article/pii/S0022247X0200149X

Uniform prox-regularity of functions and epigraphs in Hilbert spaces

Autoři: F. Bernard Lionel Thibault

Zdroj: Nonlinear Analysis. 60:187-207

Témata: Calculus of functions on infinite-dimensional spaces, prox-regular sets, uniformly prox-regular functions, epigraph, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Set-valued and function-space-valued mappings on manifolds, prox-regular functions, 0101 mathematics, Nonconvex programming, global optimization, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0362546X04002834

Approximation theory, computing, and deep learning on the Wasserstein space.

Autoři: Fornasier, Massimo Heid, Pascal Sodini, Giacomo Enrico

Zdroj: Mathematical Models & Methods in Applied Sciences. Apr2025, Vol. 35 Issue 4, p825-903. 79p.

Témata: *CALCULUS of variations, *APPROXIMATION theory, *SOBOLEV spaces, *DEEP learning, *TIKHONOV regularization

Duality in the space of regulated functions and the play operator

Autoři: Martin Brokate Pavel Krejčí

Zdroj: Mathematische Zeitschrift. 245:667-688

Témata: Spaces of vector- and operator-valued functions, Calculus of functions taking values in infinite-dimensional spaces, Functions of bounded variation, generalizations, Denjoy and Perron integrals, other special integrals, 0101 mathematics, regulated functions, functions with bounded variation, 01 natural sciences, Hysteresis for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s00209-003-0563-6
https://documat.unirioja.es/servlet/articulo?codigo=2806754
https://dialnet.unirioja.es/servlet/articulo?codigo=2806668

MALLIAVIN CALCULUS FOR NON-GAUSSIAN DIFFERENTIABLE MEASURES AND SURFACE MEASURES IN HILBERT SPACES

Autoři: DA PRATO, GIUSEPPE LUNARDI, ALESSANDRA TUBARO, LUCIANO

Zdroj: Transactions of the American Mathematical Society, 2018 Aug 01. 370(8), 5795-5842.

Přístupová URL adresa: https://www.jstor.org/stable/90022285

Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces: Integration of subdifferentials of lower semicontinuous functions on Banach spaces

Autoři: D. Zagrodny L. Thibault

Zdroj: Journal of Mathematical Analysis and Applications. 189:33-58

Témata: Calculus of functions on infinite-dimensional spaces, Methods involving semicontinuity and convergence, relaxation, Applied Mathematics, Nonsmooth analysis, 0211 other engineering and technologies, subdifferential, integration, 02 engineering and technology, 01 natural sciences, convexly subdifferential similarity, lower semicontinuous convex functions, 0101 mathematics, Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.), Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X85710037
https://core.ac.uk/display/82626665
https://www.sciencedirect.com/science/article/abs/pii/S0022247X85710037

The Banach-Zarecki theorem for functions with values in metric spaces

Autoři: Luděk Zajíček Jakub Duda

Zdroj: Proceedings of the American Mathematical Society. 133:3631-3633

Témata: Lusin (N) condition, Calculus of functions taking values in infinite-dimensional spaces, Banach-Zarecki theorem, absolute continuity, Absolutely continuous real functions in one variable, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-12/S0002-9939-05-07959-1/S0002-9939-05-07959-1.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1377323
https://www.ams.org/journals/proc/2005-133-12/S0002-9939-05-07959-1/home.html

An infinite-dimensional calculus for generalized connections on hypercubic lattices

Přispěvatelé: Mendes, R [IPFN - EURATOM/IST Association, Instituto Superior Tecnico, Av. Rovisco Pais 1, 1049-001 Lisboa (Portugal) and CMAF, Complexo Interdisciplinar, Universidade de Lisboa, Av. Gama Pinto, 2 - 1649-003, Lisboa (Portugal)]

Zdroj: Journal of Mathematical Physics; 52; 5; Other Information: DOI: 10.1063/1.3592919; (c) 2011 American Institute of Physics

Popis souboru: Medium: X; Size: page(s) 052304-052304.17

Přístupová URL adresa: http://www.osti.gov/scitech/biblio/21501333

Differential calculus over general base fields and rings: Differential calculus over general base fields and rings.

Autoři: Karl-Hermann Neeb Wolfgang Bertram Helge Glöckner

Zdroj: Expositiones Mathematicae. 22:213-282

Témata: non-archimedian analysis, Mathematics(all), Calculus of functions on infinite-dimensional spaces, Calculus of functions taking values in infinite-dimensional spaces, Infinite-dimensional Lie groups and their Lie algebras: general properties, infinite-dimensional Lie groups, topological fields, polynomial maps, rational manifolds, 01 natural sciences, non-archimedean analysis, differential calculus, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Non-Archimedean analysis, 0101 mathematics, infinite-dimensional manifolds

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2222515
https://doi.org/10.1016/s0723-0869(04)80006-9
https://www.sciencedirect.com/science/article/abs/pii/S0723086904800069
http://tubiblio.ulb.tu-darmstadt.de/8352/
https://hal.archives-ouvertes.fr/hal-00141431
https://www.sciencedirect.com/science/article/pii/S0723086904800069

Unicity of a Holomorphic Functional Calculus in Infinite Dimensions

Autoři: Galé, José E.

Zdroj: Transactions of the American Mathematical Society, 1986 Jun 01. 295(2), 501-508.

Přístupová URL adresa: https://www.jstor.org/stable/2000049

Bump Functions with Hölder Derivatives: Bump functions with Hölder derivatives

Autoři: Thierry Gaspari

Zdroj: Canadian Journal of Mathematics. 56:699-715

Témata: range of derivatives, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, Continuity and differentiation questions, 0101 mathematics, 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, smooth bump functions

Popis souboru: application/xml

Přístupová URL adresa: https://dialnet.unirioja.es/servlet/articulo?codigo=983154

Metric Inequality, Subdifferential Calculus and Applications: Metric inequality, subdifferential calculus and applications

Autoři: Michel Théra Huynh Van Ngai

Zdroj: Set-Valued Analysis. 9:187-216

Témata: Calculus of functions on infinite-dimensional spaces, Asplund spaces, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, necessary optimality conditions, lower-semicontinuous functions, metric inequality, nonsmooth constrained optimization, Nonlinear programming, chain rule, 0101 mathematics, limiting Fréchet subdifferential

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1656464
https://doi.org/10.1023/a:1011291608129
https://www.unilim.fr/laco/rapports/2000/R2000_13.pdf
https://link.springer.com/article/10.1023/A%3A1011291608129

Hölder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Autoři: Helge Glöckner

Zdroj: Journal of Functional Analysis. 228:419-444

Témata: Calculus of functions on infinite-dimensional spaces, Differentiability, Infinite-dimensional Lie group, Group Theory (math.GR), 01 natural sciences, Continuous and differentiable maps in nonlinear functional analysis, 22E65 (Primary) 26E15, 26E20, 26E30, 46T20, 58C20 (Secondary), Power map, FOS: Mathematics, 0101 mathematics, Calculus of functions taking values in infinite-dimensional spaces, Hölder continuity, Taylor expansion, Infinite-dimensional Lie groups and their Lie algebras: general properties, Lipschitz continuity, Smoothness, Functional Analysis (math.FA), Mathematics - Functional Analysis, Analysis on \(p\)-adic Lie groups, Homomorphism, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions, non-Archimedean functional analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Non-Archimedean analysis, Mathematics - Group Theory, infinite-dimensional Lie group, Analysis, differentiability

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0403251
https://www.sciencedirect.com/science/article/pii/S0022123605002892
https://core.ac.uk/display/82696344

Nonsmooth sequential analysis in Asplund spaces

Autoři: Mordukhovich, B.S. Shao, Y.

Zdroj: Transactions of the American Mathematical Society. 348:1235-1280

Témata: Functional calculus for linear operators, Calculus of functions on infinite-dimensional spaces, Asplund spaces, Nonsmooth analysis, 0211 other engineering and technologies, coderivations, 02 engineering and technology, limiting normal cones, Geometry and structure of normed linear spaces, generalized differential calculus, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, generalized subdifferentials, subdifferential calculus, multifunctions

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf
https://zbmath.org/914922
https://doi.org/10.1090/s0002-9947-96-01543-7
https://www.ams.org/journals/tran/1996-348-04/S0002-9947-96-01543-7/S0002-9947-96-01543-7.pdf
http://pure.iiasa.ac.at/id/eprint/4684/
https://www.ams.org/tran/1996-348-04/S0002-9947-96-01543-7/