Boundary values of holomorphic functions and heat kernel method in translation-invariant distribution spaces

DOI10.1080/17476933.2014.1002399zbMath1337.46033arXiv1409.0197OpenAlexW3105079393MaRDI QIDQ3195520

Stevan Pilipović, Pavel Dimovski, Jasson Vindas

Publication date: 20 October 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0197

zbMATH Keywords

heat kernel methodanalytic representations of distributionsboundary values of holomorphic functions on tube domainstranslation-invariant distribution spaces

Mathematics Subject Classification ID

Hyperfunctions, analytic functionals (46F15) Boundary behavior of holomorphic functions of several complex variables (32A40) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (8)

Mehler kernel approach to Fourier ultra-hyperfunctions ⋮ Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces ⋮ Ultradistributional boundary values of harmonic functions on the sphere ⋮ Translation-modulation invariant Banach spaces of ultradistributions ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth ⋮ Vector valued Hardy spaces related to analytic functions having distributional boundary values ⋮ Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior

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