A general integral
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Publication:2896204
DOI10.4064/dm483-0-1zbMath1245.26006arXiv1109.2958OpenAlexW3098589321MaRDI QIDQ2896204
Jasson Vindas, Ricardo Estrada
Publication date: 13 July 2012
Published in: Dissertationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.2958
distributionsnon-absolute integralsgeneral integraldistributional integrationŁojasiewicz point values
Operations with distributions and generalized functions (46F10) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Denjoy and Perron integrals, other special integrals (26A39) Antidifferentiation (26A36)
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Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces ⋮ Inverse Function Theorems for Generalized Smooth Functions ⋮ Abel derivative and Abel continuity ⋮ New classes of weighted Hölder-Zygmund spaces and the wavelet transform ⋮ Characterization of distributions having a value at a point in the sense of Robinson ⋮ A proof of Łojasiewicz's theorem ⋮ Pointwise differentiability of higher-order for distributions ⋮ The Cauchy integral formula and distributional integration ⋮ L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior
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