fractional hilbert transform
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scholarly journals The Finite Fractional Hilbert Transform

2021 ◽  
Author(s):  
Naheed Abdullah ◽  
Saleem Iqbal
Keyword(s):  
Hilbert Transform ◽  
Continuous Functions ◽  
Hölder Continuous ◽  
Fractional Hilbert Transform ◽  
Hölder Continuous Functions

Abstract In the present paper, we introduce the finite fractional Hilbert transform. Parseval-type identities concerning finite fractional Hilbert transform are proved. Moreover, we obtain inequality for finite fractional Hilbert transform of β— Hölder continuous functions. Applications for some functions are also provided.

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