Perturbation of Frames from the Weyl–Heisenberg Group and the Extended Affine Group: Perturbation of frames from the Weyl-Heisenberg group and the extended affine group

Authors: Jindal, Divya, Jorgensen, Palle, Vashisht, Lalit Kumar

Source: Complex Analysis and Operator Theory. 19

Subject Terms: perturbation, frames, wavelet frames, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, Weyl-Heisenberg group, Gabor frames, extended affine group, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: https://zbmath.org/8033585
https://doi.org/10.1007/s11785-025-01675-w

Analytic Fourier Transforms and Exponential Approximations. II: Analytic Fourier transforms and exponential approximations. II

Authors: A. M. Sedletskii

Source: Journal of Mathematical Sciences. 130:5083-5255

Subject Terms: nonharmonic Fourier series, shift approximation, Laplace transform, Completeness of sets of functions in one variable harmonic analysis, analyticity, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), 01 natural sciences, bases of exponents, rapidly decreasing function, completeness, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Fourier transform, 0101 mathematics, minimality, Completeness of sets of functions in nontrigonometric harmonic analysis, Müntz-Szasz approximation

File Description: application/xml

Access URL: https://link.springer.com/10.1007/s10958-005-0397-3
https://link.springer.com/article/10.1007%2Fs10958-005-0349-y

On the excess of complex exponential systems in L2(−a,a): On the excess of complex exponential systems in \(L^2(-a,a)\)

Authors: Elias Zikkos

Source: Journal of Mathematical Analysis and Applications. 308:47-60

Subject Terms: Excess, completeness, exponential systems, Exponential systems, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: https://zbmath.org/2184069
https://doi.org/10.1016/j.jmaa.2004.10.048
http://www.sciencedirect.com/science/article/pii/S0022247X0400887X
https://www.sciencedirect.com/science/article/pii/S0022247X0400887X
https://ui.adsabs.harvard.edu/abs/2005JMAA..308...47Z/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022247X0400887X

Generalized Fourier transform on an arbitrary triangular domain

Authors: Huiyuan Li, Jiachang Sun

Source: Advances in Computational Mathematics. 22:223-248

Subject Terms: convergence, error estimates, Sobolev norm, triangle, eigenfunction expansion, generalized Fourier transform, General harmonic expansions, frames, generalized Fourier expansion, 0101 mathematics, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis, generalized Fourier series

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007/s10444-003-7667-8.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm22.html#SunL05
https://link.springer.com/article/10.1007/s10444-003-7667-8
https://core.ac.uk/display/143692874
http://ir.iscas.ac.cn/handle/311060/5222

A complete system of orthogonal step functions

Authors: Huaien Li, David C. Torney

Source: Proceedings of the American Mathematical Society. 132:3491-3502

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Rademacher function, 0301 basic medicine, 03 medical and health sciences, Möbius function, Arithmetic functions, related numbers, inversion formulas, 0101 mathematics, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis, orthonormal system

File Description: application/xml

Access URL: https://www.ams.org/proc/2004-132-12/S0002-9939-04-07511-2/S0002-9939-04-07511-2.pdf
https://zbmath.org/2097129
https://doi.org/10.1090/s0002-9939-04-07511-2
https://www.ams.org/journals/proc/2004-132-12/S0002-9939-04-07511-2/home.html
https://www.ams.org/proc/2004-132-12/S0002-9939-04-07511-2/S0002-9939-04-07511-2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1051899
https://documat.unirioja.es/servlet/articulo?codigo=1051899

Wavelets frame associated to accretive function

Authors: Xu Ming

Source: Journal of Mathematical Analysis and Applications. 295:153-162

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), \(T(b)\)-theorem, Applied Mathematics, accretive function, Nontrigonometric harmonic analysis involving wavelets and other special systems, 01 natural sciences, wavelet frame, 0103 physical sciences, Accretive function, Frame, 0101 mathematics, Completeness of sets of functions in nontrigonometric harmonic analysis, Analysis, T(b) theorem

File Description: application/xml

Access URL: https://zbmath.org/2093801
https://doi.org/10.1016/j.jmaa.2004.03.022
https://core.ac.uk/display/82207872

A transference theorem for hermite expansions: A transference theorem for Hermite expansions

Authors: Ciaurri, Óscar

Source: Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 0103 physical sciences, Multidimensional problems, transference theorems, 0101 mathematics, Laguerre functions, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis, Hermite expansions

File Description: application/pdf; application/xml

Access URL: https://ur.portalcientifico.es/documentos/608a79af2c44a168766c8b36
https://investigacion.unirioja.es/documentos/608a79af2c44a168766c8b36
https://documat.unirioja.es/servlet/articulo?codigo=955007
https://link.springer.com/article/10.1007/BF02872874
https://dialnet.unirioja.es/servlet/articulo?codigo=955007

Backward adaptive biorthogonalization

Authors: Laura Rebollo-Neira

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 35, Pp 1843-1853 (2004)

Subject Terms: orthogonal projections, FOS: Physical sciences, Completeness of sets of functions in one variable harmonic analysis, Mathematical Physics (math-ph), 02 engineering and technology, backward biorthogonalization, 01 natural sciences, Functional Analysis (math.FA), Mathematics - Functional Analysis, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), 0103 physical sciences, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Linear function spaces and their duals, Mathematics, Completeness of sets of functions in nontrigonometric harmonic analysis, Mathematical Physics

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/ijmms/2004/701068.pdf
http://arxiv.org/abs/math-ph/0211066
https://doaj.org/article/ab731f701d57465ea9af7923aeb77f5e
https://www.emis.de/journals/HOA/IJMMS/Volume2004_35/1853.pdf
https://dblp.uni-trier.de/db/journals/ijmmsc/ijmmsc2004.html#Rebollo-Neira04
https://www.hindawi.com/journals/ijmms/2004/701068/
https://downloads.hindawi.com/journals/ijmms/2004/701068.pdf

Almost Integer Translates. Do Nice Generators Exist?: Almost integer translates. Do nice generators exist?

Authors: Alexander Olevskii, Alexander Ulanovskii

Source: Journal of Fourier Analysis and Applications. 10:93-104

Subject Terms: system of translates, weighted spaces, Completeness of sets of functions in one variable harmonic analysis, 0101 mathematics, generators, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: https://zbmath.org/2105069
https://doi.org/10.1007/s00041-004-8006-2
https://link.springer.com/article/10.1007/s00041-004-8006-2
https://link.springer.com/10.1007/s00041-004-8006-2
https://dialnet.unirioja.es/servlet/articulo?codigo=882551

Sparse complete Gabor systems on a lattice: Sparse complete Gabor systems on a lattice.

Authors: Wang, Yang

Source: Applied and Computational Harmonic Analysis. 16:60-67

Subject Terms: completeness, Applied Mathematics, Beurling density, 0202 electrical engineering, electronic engineering, information engineering, General harmonic expansions, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis, Weyl-Heisenberg system, Gabor system

File Description: application/xml

Access URL: http://repository.ust.hk/ir/Record/1783.1-62413
https://www.sciencedirect.com/science/article/pii/S1063520303000927
http://www.sciencedirect.com/science/article/pii/S1063520303000927
https://core.ac.uk/display/34046246

Hardy's inequality for Jacobi expansions

Authors: Kunio Sato, Yuichi Kanjin

Source: Mathematical Inequalities & Applications. :551-555

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), real Hardy space, Hardy inequality, Inequalities for sums, series and integrals, Jacobi functions, Fourier-Jacobi expansions, 0101 mathematics, 01 natural sciences, \(H^p\)-spaces, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: http://files.ele-math.com/abstracts/mia-07-56-abs.pdf
http://mia.ele-math.com/07-56

On a class of Sobolev scalar products in the polynomials: On a class of Sobolev scalar products in the polynomials.

Authors: Leonel Robert, Luis Santiago

Source: Journal of Approximation Theory. 125:169-189

Subject Terms: Completeness, Favard's Theorem, Mathematics(all), Numerical Analysis, Sobolev inner product, Orthogonal polynomials, Applied Mathematics, 01 natural sciences, Location of zeroes, Markov theorem, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Sobolev inner products, location of zeroes, completeness, Determinacy, Favard theorem, 0101 mathematics, Asymptotics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, Completeness of sets of functions in nontrigonometric harmonic analysis, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2026878
https://doi.org/10.1016/j.jat.2003.11.003

A Generalized Strange Term in Signorini's Type Problems: A generalized strange term in Signorini's type problems

Authors: Conca Rosende, Carlos, Murat, Francois, Timofte, Claudia

Source: Conicyt_qa
ANID
instacron:ANID
RAIRO Model. Math. Anal. Numer
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo

Subject Terms: periodically perforated domains, Unilateral problems, variational inequalities (elliptic type), Signorini's type-like problems, extra zero-order term, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml; application/pdf

Access URL: https://www.esaim-m2an.org/articles/m2an/pdf/2003/05/m2an0317.pdf
http://archive.numdam.org/ARCHIVE/M2AN/M2AN_2003__37_5/M2AN_2003__37_5_773_0/M2AN_2003__37_5_773_0.pdf
http://www.numdam.org/item/10.1051/m2an:2003055.pdf
https://eudml.org/doc/245304
http://www.numdam.org/articles/10.1051/m2an:2003055/
https://www.esaim-m2an.org/articles/m2an/pdf/2003/05/m2an0317.pdf
http://www.esaim-m2an.org/articles/m2an/pdf/2003/05/m2an0317.pdf
https://repositorio-qa.anid.cl/handle/10533/245994
http://hdl.handle.net/10533/245994
https://hdl.handle.net/10533/245994

Nonharmonic Analysis: Nonharmonic analysis

Authors: Sedletskij, A. M.

Source: Journal of Mathematical Sciences. 116:3551-3619

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), uniform minimality, exponential system, nonharmonic analysis, completeness, survey, stability, minimality, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

A complete orthonormal system of divergence

Authors: K. S. Kazarian

Source: Comptes Rendus. Mathématique. 337:85-88

Subject Terms: independent functions, Independent functions, complete orthonormal system, Complete orthonormal system, 01 natural sciences, Representation of functions by series, 0103 physical sciences, representation of functions by series, 0101 mathematics, divergence, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Completeness of sets of functions in nontrigonometric harmonic analysis, divergence almost everywhere, Analysis, Divergence almost everywhere

File Description: application/xml

Access URL: https://zbmath.org/1981382
https://doi.org/10.1016/s1631-073x(03)00286-3
https://www.sciencedirect.com/science/article/abs/pii/S1631073X03002863
https://www.sciencedirect.com/science/article/pii/S1631073X03002863
https://core.ac.uk/display/82208846
http://www.sciencedirect.com/science/article/pii/S0022123603004063
https://www.sciencedirect.com/science/article/pii/S0022123603004063

An analog of the Fourier transform associated with a nonlinear one-dimensional Schrödinger equation

Authors: Peter Zhidkov

Source: Nonlinear Analysis: Theory, Methods & Applications. 52:737-754

Subject Terms: Nonlinear ordinary differential operators, Nonlinear spectral theory, nonlinear eigenvalue problems, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), 0211 other engineering and technologies, 02 engineering and technology, nonlinear Schrödinger equation on half line, 01 natural sciences, eigenfunction expanion, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators, completeness of eigenfunctions, Fourier transform, 0101 mathematics, continuous spectrum, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: https://zbmath.org/1879977
https://doi.org/10.1016/s0362-546x(02)00130-x
https://www.sciencedirect.com/science/article/pii/S0362546X0200130X

A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series

Authors: Mikhail Ivanovich Dyachenko, K. S. Kazarian

Source: Studia Mathematica. 159:33-50

Subject Terms: Fourier series and coefficients in several variables, orthogonal Fourier series, set of divergence, 0103 physical sciences, General harmonic expansions, frames, measure, 0101 mathematics, 01 natural sciences, Summability in several variables, Completeness of sets of functions in nontrigonometric harmonic analysis, orthonormal system

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90205?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/159/1/90205/a-sharp-estimate-of-the-measure-of-the-set-of-divergence-of-multiple-orthogonal-fourier-series
http://journals.impan.pl/cgi-bin/doi?sm159-1-2
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-1-2
https://eudml.org/doc/284676

The wavelet dimension function is the trace function of a shift-invariant system

Authors: Zuowei Shen, Amos Ron

Source: Proceedings of the American Mathematical Society. 131:1385-1398

Subject Terms: shift-invariant system, dimension function, frames, Nontrigonometric harmonic analysis involving wavelets and other special systems, General harmonic expansions, frames, trace, 0101 mathematics, wavelets, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis, multiresolution analysis

File Description: application/xml

Access URL: https://www.ams.org/proc/2003-131-05/S0002-9939-02-06677-7/S0002-9939-02-06677-7.pdf
https://zbmath.org/1861490
https://doi.org/10.1090/s0002-9939-02-06677-7
https://www.ams.org/journals/proc/2003-131-05/S0002-9939-02-06677-7/home.html
https://www.ams.org/proc/2003-131-05/S0002-9939-02-06677-7/S0002-9939-02-06677-7.pdf
https://www.jstor.org/stable/1194104

On sets of convergence and divergence of multiple orthogonal series

Authors: K S Kazaryan, Mikhail Ivanovich Dyachenko

Source: Sbornik: Mathematics. 193:1281-1301

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Fourier series and coefficients in several variables, complete orthonormal system, 0101 mathematics, multiple Fourier series, 01 natural sciences, Completeness of sets of functions in nontrigonometric harmonic analysis

File Description: application/xml

Access URL: https://zbmath.org/2069992
http://www.osti.gov/scitech/biblio/21205717
http://ui.adsabs.harvard.edu/abs/2002SbMat.193.1281D/abstract

On the Completeness of the System {Zτ} in L2: On the completeness of the system \(\{z^{\tau_n}\}\) in \(L^{2}\)

Authors: André Boivin, Changzhong Zhu

Source: Journal of Approximation Theory. 118:1-19

Subject Terms: mean square approximation, Mathematics(all), Numerical Analysis, unbounded domain, Applied Mathematics, 0101 mathematics, complex Müntz theorem, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, Completeness of sets of functions in nontrigonometric harmonic analysis, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1891497
https://doi.org/10.1006/jath.2002.3693
https://www.sciencedirect.com/science/article/abs/pii/S0021904502936932#!
https://dialnet.unirioja.es/servlet/articulo?codigo=315383
https://www.sciencedirect.com/science/article/pii/S0021904502936932
https://www.infona.pl/resource/bwmeta1.element.elsevier-788c5d0d-1ea1-32d6-beef-4530eb0d5324
https://dl.acm.org/doi/10.1006/jath.2002.3693
https://documat.unirioja.es/servlet/articulo?codigo=315383