Results 111 to 120 of about 58,842 (311)

On the analytic form of the discrete Kramer sampling theorem

International Journal of Mathematics and Mathematical Sciences, 2001
The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García, Miguel A. Hernández-Medina, María J. Muñoz-Bouzo   +2 more
doaj   +1 more source

Stroke and motor outcomes are associated with regional and age‐specific changes in periodic and aperiodic cortical activity

Experimental Physiology, EarlyView.
Abstract Historically, stroke and ageing have been associated with changes in narrow‐band periodic neuronal activity, but recent work has highlighted the importance of broad‐band aperiodic activity. Aperiodic activity is represented by the 1/f slope of power spectral density generated by cortical activity.
Asher J. Albertson, Eric C. Landsness, Margaret Eisfelder, Brittany M. Young, Bradley Judge, Matthew R. Brier, Matthew J. Euler, Steven C. Cramer, Jin‐Moo Lee, Keith R. Lohse   +9 more
wiley   +1 more source

Orthogonal Basic Hypergeometric Laurent Polynomials

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The Askey-Wilson polynomials are orthogonal polynomials in$x = cos heta$, which are given as a terminating $_4phi_3$ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in $z=e^{iheta}$, which are given as a ...
Mourad E.H. Ismail, Dennis Stanton
doaj   +1 more source

Recurrences for the coefficients of series expansions with respect to classical orthogonal polynomials [PDF]

, 2002
Stanisław Lewanowicz
openalex   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Semi-classical Orthogonal Polynomial Systems on Non-uniform Lattices, Deformations of the Askey Table and Analogs of Isomonodromy [PDF]

, 2012
N. S. Witte
openalex   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Multiple orthogonal polynomials for classical weights [PDF]

, 2003
Alexander Ivanovich Aptekarev, Amílcar Branquinho, Walter Van Assche   +2 more
openalex   +1 more source

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Protecting Medical Images Using a Zero-Watermarking Approach Based on Fractional Racah Moments

IEEE Access
This article introduces a new family of orthogonal moments, the fractional Racah moments (FrROMs), developed to meet the demands of copyright protection for medical images, a field requiring robust and secure methods that preserve the integrity of the ...
Karim El-Khanchouli, Hanaa Mansouri, Nawal El Ghouate, Hicham Karmouni, Nour-Eddine Joudar, Mhamed Sayyouri, S. S. Askar, Mohamed Abouhawwash   +7 more
doaj   +1 more source