Analysis of Operators with Complex Gaussian Kernels over <inline-formula><math display="inline"><semantics><msup><mn mathvariant="script">ℰ</mn><mo>′</mo></msup></semantics></math></inline-formula>(ℝ): Abelian Theorems

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Analysis of Operators with Complex Gaussian Kernels over <inline-formula><math display="inline"><semantics><msup><mn mathvariant="script">ℰ</mn><mo>′</mo></msup></semantics></math></inline-formula>(ℝ): Abelian Theorems

This paper investigates Abelian theorems for operators with complex Gaussian kernels over distributions of compact support. Furthermore, our investigation encompasses an examination of the Gauss–Weierstrass semigroup, the linear canonical transform, and the Ornstein–Uhlenbeck semigroup as particular...

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Bibliographic Details
Main Authors:	Hari M. Srivastava, Emilio R. Negrín, Jeetendrasingh Maan
Format:	Article
Language:	English
Published:	MDPI AG 2025-06-01
Series:	Axioms
Subjects:	complex Gaussian kernels Abelian theorems distributions of compact support Gauss–Weierstrass semigroup linear canonical transform Ornstein–Uhlenbeck semigroup
Online Access:	https://www.mdpi.com/2075-1680/14/6/462
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