Results 11 to 20 of about 265 (59)
Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets [PDF]
We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
core +5 more sources
Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
core +4 more sources
New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations [PDF]
In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Maitama, Shehu, Zhao, Weidong
core +3 more sources
A direct extension of Meller′s calculus
This paper extends the operational calculus of Meller for the operator to the case where α ∈ (0, ∞). The development is àla Mikusinski calculus and uses Meller′s convolution process with a fractional derivative operator.
E. L. Koh
wiley +1 more source
Recently [8], an operational calculus for the operator Bμ = t−μDt1+μD with −1 < μ < ∞ was developed via the algebraic approach [4], [13], [15]. This paper gives the integral transform version. In particular, a differentiation theorem and a convolution theorem are proved.
J. Conlan, E. L. Koh
wiley +1 more source
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions [PDF]
In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some ...
Broglia, R.A. +4 more
core +6 more sources
On a new approach to convolution constructions
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 435-448, 1993.
S. B. Yakubovich, Shyam L. Kalla
wiley +1 more source
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh +2 more
doaj +1 more source
Exact Solutions of Nonlocal Pluriparabolic Problems [PDF]
MSC 2010: 44A35 ...
Chobanov, Georgi, Dimovski, Ivan
core
Randomly stopped maximum and maximum of sums with consistently varying distributions
Let $\{\xi_1,\xi_2,\ldots\}$ be a sequence of independent random variables, and $\eta$ be a counting random variable independent of this sequence. In addition, let $S_0:=0$ and $S_n:=\xi_1+\xi_2+\cdots+\xi_n$ for $n\geqslant1$. We consider conditions for
Andrulytė, Ieva Marija +2 more
core +1 more source

