The Journal of the Indian Mathematical Society

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On Fourier Transforms of the Class Wσ


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1 University of Hongkong, Hongkon, Hong Kong
     

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This note is concerned with a theorem of Plancherel for Fourier transforms which corresponds to the Parseval theorem for Fourier series. By Wσ we denote the class of integral functions {f(z)} which are of exponential type σ and such that each of the functions {f(x)} belongs to L2 (-∞, ∞) for values of z = x on the real axis.
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  • On Fourier Transforms of the Class Wσ

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Authors

Yung-Ming Chen
University of Hongkong, Hongkon, Hong Kong

Abstract


This note is concerned with a theorem of Plancherel for Fourier transforms which corresponds to the Parseval theorem for Fourier series. By Wσ we denote the class of integral functions {f(z)} which are of exponential type σ and such that each of the functions {f(x)} belongs to L2 (-∞, ∞) for values of z = x on the real axis.