DOI QR코드

DOI QR Code

TRIGONOMETRIC FUNCTIONAL EQUATIONS IN GEVERY DISTRIBUTIONS

Chung, Jae-Young;Yoo, Heung-Sang

  • Received : 2007.11.22
  • Accepted : 2008.03.03
  • Published : 2008.03.25

Abstract

We consider a system of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand generalized functions. As a consequence we find locally integrable solutions of the n-dimensional trigonometric functional equation.

Keywords

trigonometric functional equation;d'Alembert equations;distributions;Gelfand-Shilov generalized functions;Gevrey distributions;heat kernel

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Cited by

  1. Trigonometric identities in *-algebras vol.25, pp.1, 2014, https://doi.org/10.1016/j.indag.2013.08.007