POISSON SUMMATION FORMULAE ASSOCIATED WITH THE GENERALIZED FRACTIONAL HILBERT TRANSFORM
AKILAHMAD SHEIKH *
Department of Applied Mathematics, Tulsiramji Gaikwad-Patil College of Engineering and Technology, Nagpur, India.
ALKA GUDADHE
Department of Mathematics, Govt. Vidarbha Institute of Science and Humanities, Amravati, India.
*Author to whom correspondence should be addressed.
Abstract
Fractional Hilbert transform plays an important role in signal processing, edge detection. This paper investigates the generalized Poisson summation formula for the fractional Hilbert transform of the periodic functions of compact support. Then some results associated with this novel formula have been presented.
Keywords: Fourier transform;, Poisson summation formula, fractional Hilbert transform