An integral transformation and its applications to harmonic analysis on the space of solutions of heat equation

DOI10.2977/PRIMS/1195143421zbMath0948.35060OpenAlexW2084543365MaRDI QIDQ1567244

Yongjin Yeom, Soon-Yeong Chung

Publication date: 19 November 2000

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143421

zbMATH Keywords

Paley-Wiener type theoreminfinite series of Hermite temperatures

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Paley-wiener type theorems for the temperature transform^∗

Cites Work

• Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Some analogies from classical analysis in the theory of heat conduction
• Generalized temperature functions
• Widder temperature representations
• An example of nonuniqueness of the cauchy problem for the heat equation
• Positive definite temperature functions and a correspondence to positive temperature functions
• A Calculus Approach to Hyperfunctions. II
• Positive definite hyperfunctions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An integral transformation and its applications to harmonic analysis on the space of solutions of heat equation