Results 21 to 30 of about 101 (73)
Dual integral equations involving Weber‐Orr transforms
In this paper we consider dual integral equations involving inverse Weber‐Orr transforms of the type , k = 0, 1, …. A general solution is established using elementary methods. Many known results are derived as special cases.
C. Nasim
wiley +1 more source
In this study a relation between the Laplace transform and the generalized Hankel-Clifford transform is established. The relation between distributional generalized Hankel-Clifford transform and distributional one sided Laplace transform is developed ...
V. R. Lakshmi Gorty
semanticscholar +1 more source
Abelian theorems for Whittaker transforms
Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in the right half plane.
Richard D. Carmichael, R. S. Pathak
wiley +1 more source
Schatten class weighted composition operators on generalized Fock spaces F_\phi^2(C^n)
Let ψ be an entire self-map of the n-dimensional Euclidean complex space Cn and u be an entire function on Cn. A weighted composition operator induced by ψ with weight u is given by (uCψf)(z) = u(z)f(ψ(z)), for z ∈ Cn and f is entire function on Cn.
W. Al-Rawashdeh
semanticscholar +1 more source
Recent developments on the Stieltjes transform of generalized functions
This paper is concerned with recent developments on the Stieltjes transform of generalized functions. Sections 1 and 2 give a very brief introduction to the subject and the Stieltjes transform of ordinary functions with an emphasis to the inversion theorems.
Ram Sankar Pathak, Lokenath Debnath
wiley +1 more source
Note on the transform S and its generalization in the space of Boehmians
We investigate some generalization of the transform S (Sw-transform or S-transform) in a space of rapidly decreasing Boehmians. We show that the newly-introduced transform S̃ is a well-defined linear isomorphism between the constructed spaces of ...
Junesang Choi +2 more
semanticscholar +1 more source
Analytic representation of the distributional finite Hankel transform
Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions). An inversion theorem for the gereralized finite Hankel
O. P. Singh, Ram S. Pathak
wiley +1 more source
Reproducing inversion formulas for the Dunkl-Wigner transforms
fethisoltani10@yahoo.comABSTRACTWe define and study the Fourier-Wignertransformassociated with the Dunkl operators,and we prove for this transform a reproducing inversion formulas and a Plancherelformula.
F. Soltani
semanticscholar +1 more source
A generalized Meijer transformation
In a series of papers [1‐6], Kratzel studies a generalized version of the classical Meijer transformation with the Kernel function (st) νη(q, ν + 1; (st)q). This transformation is referred to as GM transformation which reduces to the classical Meijer transform when q = 1.
G. L. N. Rao, L. Debnath
wiley +1 more source
Continuous Generalized Hankel-Type Wavelet Transformation
In this paper, the generalized Hankel-type wavelet transformation is developed. Using the developed theory of generalized Hankel-type convolution, the generalized Hankel-type translation is introduced.
V. R. L. Gorty
semanticscholar +1 more source

