Analytic continuation of some classical formulas with respect to a parameter is discussed. Examples are presented. The validity of these formulas is greatly expanded. Application of these results to ...

Transactions of the American Mathematical Society, Vol. 272, No. 2 (Aug., 1982), pp. 785-802 (18 pages) The technique devised by Wong to derive the asymptotic expansions of multiple Fourier transforms ...

Abstract: The aim of this paper is to introduce two types of integral transforms that naturally generalize the lower and upper fuzzy transforms for the residuated lattice valued functions. For the ...

In a recent paper R. S. Strichartz has extended and simplified the proofs of a few well-known results about integral operators with positive kernels and singular integral operators. The present paper ...

In a series of posts I want to give a flavour of the idea, well known to experts, that integral transforms, given in terms of kernels, can be viewed from a pull-push perspective, and to tie this in to ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

Abstract: The Wigner distribution (WD) and ambiguity function (AF) associated with the linear canonical transform (LCT) play a major role in non-stationary signal processing. Many novel time-frequency ...

The generalized integral transform technique (GITT) is employed to obtain a hybrid numerical-analytical solution of natural convection in a cavity with volumetric heat generation. The hybrid nature of ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

ABSTRACT: This paper considers the valuation of European call options via the fast Fourier transform and the improved Mellin transform. The Fourier valuation techniques and Fourier inversion methods ...