Periodic hyperfunctions and Fourier series

DOI10.1090/S0002-9939-99-05281-8zbMath0951.46016OpenAlexW1528955424MaRDI QIDQ4955839

Dohan Kim, Soon-Yeong Chung, Eun Gu Lee

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05281-8

zbMATH Keywords

Fourier seriesFourier coefficientsbounded hyperfunctionsperiodic distributions and ultradistributionsperiodic hyperfunction

Mathematics Subject Classification ID

Heat equation (35K05) Hyperfunctions, analytic functionals (46F15) Fourier series and coefficients in several variables (42B05)

Related Items (10)

Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Stability of exponential equations in Schwartz distributions ⋮ Multiplication of periodic hyperfunctions via harmonic regularization and applications ⋮ Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions ⋮ Ulam problem for the sine addition formula in hyperfunctions ⋮ Convolution and multiplication operators in Fourier hyperfunctions ⋮ HEAT KERNEL METHOD FOR THE LEVI-CIVITÁ EQUATION IN DISTRIBUTIONS AND HYPERFUNCTIONS ⋮ A heat kernel approach to the stability of exponential equation in distributions and hyperfunctions

Cites Work

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• Topics in harmonic analysis on homogeneous spaces
• Representation of quasianalytic ultradistributions
• A new algebra of periodic generalized functions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• A Calculus Approach to Hyperfunctions. II
• Positive definite hyperfunctions

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