July 2021 Generalized spherical mean value operators on Euclidean space
Yasunori Okada, Hideshi Yamane
Tsukuba J. Math. 45(1): 37-50 (July 2021). DOI: 10.21099/tkbjm/20214501037

Abstract

We consider the Neumann version of the spherical mean value operator and its variants in the space of smooth functions, distributions and compactly supported ones. Surjectivity and range characterization issues are addressed from the viewpoint of convolution equations.

Citation

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Yasunori Okada. Hideshi Yamane. "Generalized spherical mean value operators on Euclidean space." Tsukuba J. Math. 45 (1) 37 - 50, July 2021. https://doi.org/10.21099/tkbjm/20214501037

Information

Published: July 2021
First available in Project Euclid: 29 October 2021

Digital Object Identifier: 10.21099/tkbjm/20214501037

Subjects:
Primary: 45E10 , 47G10

Keywords: convolution equations , mean value operators

Rights: Copyright © 2021 University of Tsukuba, Institute of Mathematics

Vol.45 • No. 1 • July 2021
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