Mehler kernel approach to Fourier ultra-hyperfunctions

Research output: Contribution to journalArticlepeer-review


In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.

Original languageEnglish
Pages (from-to)346-368
Number of pages23
JournalComplex Variables and Elliptic Equations
Issue number2
Publication statusPublished - 2022


  • 46F15
  • 46F20
  • Hermite heat equation
  • Hyperfunctions
  • Mehler kernel

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics


Dive into the research topics of 'Mehler kernel approach to Fourier ultra-hyperfunctions'. Together they form a unique fingerprint.

Cite this