Results 11 to 20 of about 535,598 (86)

A variant of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on ℝd

Journal of Taibah University for Science, 2018
In this paper, we consider the Bessel–Struve transform on $ \mathbb {R}^{d} $ . We establish new versions of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on $ \mathbb {R}^{d} $ .
Hatem Mejjaoli, Khalifa Trimèche
doaj   +2 more sources

Operators associated with soft and hard spectral edges from unitary ensembles. [PDF]

, 2008
Using Hankel operators and shift-invariant subspaces on Hilbert space, this paper develops the theory of integrable operators associated with soft and hard edges of eigenvalues distributions of random matrices. Such Tracy--Widom operators are realized as
Blower, Gordon
core   +4 more sources

Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]

, 2009
We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R.
Mohamed Ali Mourou
core   +4 more sources

A Class of Integral Operators and Bessel Plancherel Transform on Lα2

Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012
For the relation between Bessel Plancherel transform and a wide class of integral operators we establish some results generalizing the corresponding results for the cosine transform, given by Goldberg (1972) and Titchmarsh (1937). Building on these results we obtain a new properties of certain well‐known integral transforms associated with the ...
M. Dziri, Pankaj Jain
wiley   +1 more source

The dual integral equation method in hydromechanical systems

Journal of Applied Mathematics, Volume 2004, Issue 6, Page 447-460, 2004., 2004
Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace′s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems ...
N. I. Kavallaris, V. Zisis
wiley   +1 more source

Integral equations of the first kind of Sonine type

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3609-3632, 2003., 2003
A Volterra integral equation of the first kind Kφ(x):≡∫−∞xk(x−t)φ(t)dt=f(x) with a locally integrable kernel k(x)∈L1loc(ℝ+1) is called Sonine equation if there exists another locally integrable kernel ℓ(x) such that ∫0xk(x−t)ℓ(t)dt≡1 (locally integrable divisors of the unit, with respect to the operation of convolution). The formal inversion φ(x)=(d/dx)
Stefan G. Samko, Rogério P. Cardoso
wiley   +1 more source

A note on Bessel function dual integral equation with weight function

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 543-549, 1988., 1987
An elementary procedure based on Sonine′s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as ...
B. N. Mandal
wiley   +1 more source

Symmetrical Sonin kernels in terms of the hypergeometric functions

, 2023
In this paper, we introduce a new class of the kernels of the integral transforms of the Laplace convolution type that we call symmetrical Sonin kernels. For a symmetrical Sonin kernel given in terms of some elementary or special functions, its associated kernel has the same form with possibly different parameter values.
openaire   +2 more sources

Contact problem of torsion of a multilayer base with elastic connections between layers

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
Torsion of a multilayer base with elastic connections between layers by cylindrical punch with a flat sole was considered. The Hankel integral transform of the first order and the method of the compliance functions were used.
Nina N Antonenko, Igor G Velichko
doaj   +1 more source

Sonine integral equations [PDF]

, 2006
As equações integrais de Sonine são equações de primeira espécie, de Volterra, Kfp =f , com núcleo às diferenças, tais que existe um núcleo associado ao núcleo original de modo que sejam ambos divisores da unidade para a convolução.
Cardoso, Rogério Pereira
core   +1 more source