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The Cauchy Representation of Integrable and Tempered Boehmians
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Abstract
This paper deals with, by employing the relation between Cauchy representation and the Fourier transform and properties of the former in L1-space, the investigation of the Cauchy representation of integrable Boehmians as a natural extension of tempered distributions, we have investigated Cauchy representation of tempered Boehmians. An inversion formula is also proved.
관련 논문AI추천
One-parameter groups of BoehmiansDennis Nemzer대한수학회 · 대한수학회보2007 · 제44권 제3호Boehmians on the torusDennis Nemzer대한수학회 · 대한수학회보2006 · 제43권 제4호Ridgelet transform on square integrable BoehmiansRajakumar Roopkumar대한수학회 · 대한수학회보2009 · 제46권 제5호Fourier Cosine and Sine Transformable BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제1호Convolution theorems for fractional Fourier cosine and sine transforms and their extensions to BoehmiansChinnaraman Ganesan, Rajakumar Roopkumar대한수학회 · 대한수학회논문집2016 · 제31권 제4호On a class of generalized functions for some integral transform enfolding kernels of Meijer $G$ function typeShrideh Khalaf Al-Omari대한수학회 · 대한수학회논문집2018 · 제33권 제2호
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