Bibliographic Details
| Title: |
Pseudo-differential operator associated with the fractional Fourier transform. |
| Authors: |
PRASAD, AKHILESH1 apr_bhu@yahoo.com, KUMAR, PRAVEEN1 praveen502mzn@gmail.com |
| Source: |
Mathematical Communications. 2016, Vol. 21 Issue 1, p115-126. 12p. |
| Subjects: |
Pseudocode (Computer program language), Fourier transforms, Schwartz spaces, Cepstrum analysis (Mechanics), Fourier analysis |
| Abstract: |
The main goal of this paper is to study properties of the fractional Fourier transform on Schwartz type space ℒθ. Symbol class Sρ,σm,θ is introduced. The fractional pseudo-differential operators (f.p.d.o.) associated with the symbol a(x, ξ) are a continuous linear mapping of ℒ into ℒθ. Kernel and integral representations of f.p.d.o are obtained. The boundedness property of f.p.d.o. is studied. Application of the fractional Fourier transform in solving a generalized Fredholm integral equation is also given. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
