Results 1 to 10 of about 244 (39)

Non-ideal sampling in shift-invariant spaces associated with quadratic-phase Fourier transforms

open access: yesAlexandria Engineering Journal, 2023
Non-ideal sampling has nourished as one of the most attractive alternatives to classical sampling, which relies on shift-invariant spaces. The present study focuses on investigating the non-ideal sampling in shift-invariant spaces associated with the ...
Waseem Z. Lone   +5 more
doaj   +1 more source

Quadratic phase S-Transform: Properties and uncertainty principles

open access: yese-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
doaj   +1 more source

Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus

open access: yesAdvanced Nonlinear Studies, 2021
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj   +1 more source

Curvelet transform for Boehmians

open access: yesArab Journal of Mathematical Sciences, 2014
By proving the required auxiliary results, two Boehmian spaces are constructed for the purpose of extending the curvelet transform to the context of Boehmian spaces. A convolution theorem for curvelet transform is proved.
Subash Moorthy Rajendran   +1 more
doaj   +1 more source

Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]

open access: yes, 2006
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

Nonlocal Operational Calculi for Dunkl Operators [PDF]

open access: yes, 2009
The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied.
Dimovski, Ivan H., Hristov, Valentin Z.
core   +5 more sources

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

open access: yes, 2009
We prove a Calder\'on reproducing formula for the Dunkl continuous wavelet transform on $\mathbb{R}$.
Mourou, Mohamed Ali
core   +5 more sources

New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations [PDF]

open access: yes, 2019
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

Boundedness of vector-valued B-singular integral operators in Lebesgue spaces

open access: yesOpen Mathematics, 2017
We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
doaj   +1 more source

Stochastic processes via the pathway model [PDF]

open access: yes, 2014
After collecting data from observations or experiments, the next step is to build an appropriate mathematical or stochastic model to describe the data so that further studies can be done with the help of the models. In this article, the input-output type
Haubold, H. J., Mathai, A. M.
core   +2 more sources

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