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Convolution theorems for fractional Fourier cosine and sine transforms and their extensions to Boehmians

Chinnaraman Ganesan|Rajakumar Roopkumar
대한수학회 (The Korean Mathematical Society)|2016.10|대한수학회논문집 (Communications of the KMS)|제31권 제4호|pp. 791-809

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키워드

convolutionBoehmiansfractional Fourier cosine and sine transforms
주제분류수학

초록

By introducing two fractional convolutions, we obtain the convolution theorems for fractional Fourier cosine and sine transforms. Applying these convolutions, we construct two Boehmian spaces and then we extend the fractional Fourier cosine and sine transforms from these Boehmian spaces into another Boehmian space with desired properties.

Abstract

By introducing two fractional convolutions, we obtain the convolution theorems for fractional Fourier cosine and sine transforms. Applying these convolutions, we construct two Boehmian spaces and then we extend the fractional Fourier cosine and sine transforms from these Boehmian spaces into another Boehmian space with desired properties.

참고문헌 (29)

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