Deformed Hankel transform of Dini – Lipschitz functions

Author:

Loualid M. ElORCID,Elgargati A.,Daher R.

Abstract

UDC 517.5 By using a generalized symmetric difference Δ h m of order m and step h > 0 , we obtain an analog of the Titchmarsh theorems [Introduction to the theory of Fourier integrals, Oxford Univ. Press (1948)] (Theorems 84 and 85) for the deformed Hankel transform. We also provide a further extension of the theorem cited above for functions in L k p with an abstract deformed Hankel – Dini – Lipschitz condition.

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

Subject

General Earth and Planetary Sciences,General Engineering,General Environmental Science

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1. Boas-type theorems for the free metaplectic transform;ANNALI DELL'UNIVERSITA' DI FERRARA;2024-05-15

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