Authors : V. D. Sharma and P. R. Langade
Page Nos : 378-380
Description :
Inversion formula is used to retrieve original function to be transformed. Inversion formula of simplified fractional Fourier transform (SFRFT) says that for many types of functions it is possible to recover a function from its simplified fractional Fourier transform. If we know the function in frequency domain then we may reconstruct original function in time domain. Many differential equations can be solved by inversion formula. An application of inversion formula is Parseval’s identity which states that sum or integral of product of functions is equal to the sum or integral of the product of its transform. The aim of this paper is to establish inversion formula and prove Parseval’s identity for simplified fractional Fourier transform.
