Lebesgue Spaces and Operators with Complex Gaussian Kernels

E. R. Negrín (), B. J. González () and Jeetendrasingh Maan ()
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E. R. Negrín: Departamento de Análisis Matemático, Universidad de La Laguna (ULL), ES-38271 La Laguna, Tenerife, Spain
B. J. González: Departamento de Análisis Matemático, Universidad de La Laguna (ULL), ES-38271 La Laguna, Tenerife, Spain
Jeetendrasingh Maan: Department of Mathematics and Scientific Computing, National Institute of Technology, Hamirpur 177005, India

Mathematics, 2024, vol. 12, issue 19, 1-11

Abstract: This paper examines the boundedness properties and Parseval-type relations for operators with complex Gaussian kernels over Lebesgue spaces. Furthermore, this study includes an exploration of the Gauss–Weierstrass semigroup, serving as a particular example within the framework of our analysis.

Keywords: complex Gaussian kernels; bounded operator; Parseval-type relations; Gauss–Weierstrass semigroup (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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