Multiplication of periodic hyperfunctions via harmonic regularization and applications

DOI10.1215/21562261-2018-0011zbMath1422.32014OpenAlexW2908635513WikidataQ128683747 ScholiaQ128683747MaRDI QIDQ2002622

Vincent S. Valmorin

Publication date: 12 July 2019

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1546916421

zbMATH Keywords

wave equationFourier serieslocally convex algebrasproduct of periodic hyperfunctions

Mathematics Subject Classification ID

Wave equation (35L05) Hyperfunctions (32A45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Cites Work

• Multiplications of distributions in one dimension and a first application to quantum field theory
• Distributional boundary values of harmonic and analytic functions
• Generalized hyperfunctions and algebra of megafunctions
• Algebraic foundation of some distribution algebras
• Periodic hyperfunctions and Fourier series
• On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions
• Generalized hyperfunctions on the circle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplication of periodic hyperfunctions via harmonic regularization and applications