On generalized fractional cosine and sine transforms

Henryk Hudzik,Pankaj Jain,Rajender Kumar

GEORGIAN MATHEMATICAL JOURNAL（2018）

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摘要

In this paper, we define and investigate fractional cosine and sine transforms for functions as well as distributions. For these transforms, several properties are provided, the representation theorems are proved and the analyticity is established.

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关键词

Fractional Fourier transform,fractional cosine transform,fractional sine transform,tempered distribution,even and odd distribution

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