Results 1 to 10 of about 307 (63)

Analysis of a hyperbolic geometric model for visual texture perception. [PDF]

open access: yesJ Math Neurosci, 2011
We study the neural field equations introduced by Chossat and Faugeras to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Faye G, Chossat P, Faugeras O.
europepmc   +2 more sources

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

A new integral transform on time scales and its applications

open access: yesAdvances in Differential Equations, 2012
Integral transform methods are widely used to solve the several dynamic equations with initial values or boundary conditions which are represented by integral equations.
H. A. Agwa   +2 more
semanticscholar   +2 more sources

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

EXTENDED FRACTIONAL INTEGRALS, PRODUCTS AND RATIOS OF MATRICES AND STATISTICAL DISTRIBUTIONS

open access: yes, 2020
For two functions, Mellin convolutions of products and ratios are well-known in the literature. But these for three or more functions is not discussed extensively in the literature.
A. Mathai
semanticscholar   +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

EXACT SOLUTIONS OF BOUNDARY-VALUE PROBLEMS

open access: yesInternational Journal of Apllied Mathematics, 2018
A survey of an approach for obtaining explicit formulae for solving local and nonlocal boundary value problems (BVPs) for some linear partial differential equations is presented. To this end an extension of the HeavisideMikusiński operational calculus is
I. Dimovski, M. Spiridonova
semanticscholar   +1 more source

Fourier cosine-Laplace generalized convolution inequalities and applications

open access: yesMathematical Inequalities & Applications, 2019
We introduce several weighted Lp(R+) -norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms.
N. X. Thao, Le Xuan Huy
semanticscholar   +1 more source

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