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

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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

On Weighted Polynomial Approximation With Gaps: On weighted polynomial approximation with gaps

Authors: Deng, Guantie

Source: Nagoya Math. J. 178 (2005), 55-61

Subject Terms: Malliavin's method, 13. Climate action, 30B60, Bernstein problem, closure, polynomial with gaps, 41A30, weighted polynomial approximation with gaps, 0101 mathematics, approximation, 01 natural sciences, Approximation by other special function classes, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml; application/pdf

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/29CF5F91ACB56F7DE97B3AC2A7157FC0/S0027763000009119a.pdf/div-class-title-on-weighted-polynomial-approximation-with-gaps-div.pdf
https://zbmath.org/2211618
https://doi.org/10.1017/s0027763000009119
https://www.projecteuclid.org/journals/nagoya-mathematical-journal/volume-178/issue-none/On-weighted-polynomial-approximation-with-gaps/nmj/1124217071.full
https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/on-weighted-polynomial-approximation-with-gaps/29CF5F91ACB56F7DE97B3AC2A7157FC0
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/29CF5F91ACB56F7DE97B3AC2A7157FC0/S0027763000009119a.pdf/div-class-title-on-weighted-polynomial-approximation-with-gaps-div.pdf
https://projecteuclid.org/download/pdf_1/euclid.nmj/1124217071
http://projecteuclid.org/euclid.nmj/1124217071

On the completeness of sparse subsequences of systems of functions of the form $ f^{(n)}(\lambda_nz)$: On the completeness of thin subsequences of systems of functions of the form \(f^{(n)}(\lambda_ nz)\).

Authors: A. Yu. Popov

Source: Izvestiya: Mathematics. 68:1025-1049

Subject Terms: 0103 physical sciences, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/2168418
https://doi.org/10.1070/im2004v068n05abeh000507
http://ui.adsabs.harvard.edu/abs/2004IzMat..68.1025P/abstract

Laplace transforms of functionals on Bergman spaces: Laplace transform of functionals on Bergman spaces.

Authors: R S Yulmukhametov, K P Isaev

Source: Izvestiya: Mathematics. 68:3-41

Subject Terms: support function, Laplace transform, Bergman space, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable

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Access URL: http://ui.adsabs.harvard.edu/abs/2004IzMat..68....3I/abstract

An approximation theorem for entire functions of exponential type and stability of zero sequences: An approximation theorem for entire functions of exponential type and the stability of zero sequences.

Authors: Bulat N. Khabibullin

Source: Sbornik: Mathematics. 195:135-148

Subject Terms: Entire functions of one complex variable (general theory), indicator, entire function, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, approximation theorem, exponential type

File Description: application/xml

Access URL: http://www.osti.gov/scitech/biblio/21260460-approximation-theorem-entire-functions-exponential-type-stability-zero-sequences
http://ui.adsabs.harvard.edu/abs/2004SbMat.195..135K/abstract

Incompleteness and closure of a linear span of exponential system in a weighted Banach space: Incompleteness and closure of a linear span of exponential system in a weighted Banach space.

Authors: Guantie Deng

Source: Journal of Approximation Theory. 125:1-9

Subject Terms: Mathematics(all), Numerical Analysis, Closure, Banach spaces of continuous, differentiable or analytic functions, Applied Mathematics, Incompleteness, Exponential polynomials, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, Approximation by other special function classes, Analysis

File Description: application/xml

Access URL: https://core.ac.uk/display/82625693
https://dialnet.unirioja.es/servlet/articulo?codigo=771464
https://www.sciencedirect.com/science/article/pii/S0021904503001588
https://www.sciencedirect.com/science/article/pii/S0021904503001588#!
https://www.sciencedirect.com/science/article/abs/pii/S0021904503001588

On a Problem of Leont'ev and Representing Systems of Exponentials: On a problem of Leont'ev and representing systems of exponentials.

Authors: V. B. Sherstyukov

Source: Mathematical Notes. 74:286-298

Subject Terms: entire function of exponential type, representing system of exponentials, indicator diagram, 0101 mathematics, Leont'ev problem, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, function of totally regular growth

File Description: application/xml

Access URL: https://zbmath.org/2121038
https://doi.org/10.1023/a:1025068527611
https://link.springer.com/content/pdf/10.1023/A:1025068527611.pdf
https://link.springer.com/article/10.1023/A:1025068527611

on a problem of leont ev and representing systems of exponentials: On a problem of Leont'ev and representing systems of exponentials.

Authors: V. B. Sherstyukov

Source: Mathematical Notes. 74(1):286-298

Subject Terms: entire function of exponential type, representing system of exponentials, indicator diagram, Leont'ev problem, Completeness problems, closure of a system of functions of one complex variable, function of totally regular growth

File Description: application/xml

Access URL: https://zbmath.org/2121038
https://doi.org/10.1023/a:1025068527611
https://link.springer.com/content/pdf/10.1023/A:1025068527611.pdf
https://link.springer.com/article/10.1023/A:1025068527611

Representability of de Branges Matrices as Blaschke--Potapov Products and Completeness of Some Families of Functions: Representability of de Branges matrices as Blaschke-Potapov products and the completeness of some families of functions.

Authors: G. M. Gubreev, A. A. Tarasenko

Source: Mathematical Notes. 73:796-801

Subject Terms: Muckenhoupt weight, Blaschke-Potapov product, Blaschke products, etc, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), 0103 physical sciences, system of root subspaces, meromorphic function, de Branges matrix, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Spectrum, resolvent, companion function, 0101 mathematics, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A:1024045712587

representability of de branges matrices as blaschke potapov products and completeness of some families of functions: Representability of de Branges matrices as Blaschke-Potapov products and the completeness of some families of functions.

Authors: G. M. Gubreev, A. A. Tarasenko

Source: Mathematical Notes. 73(5):796-801

Subject Terms: system of root subspaces, meromorphic function, de Branges matrix, Muckenhoupt weight, Blaschke-Potapov product, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Blaschke products, etc, Spectrum, resolvent, companion function, Completeness problems, closure of a system of functions of one complex variable, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones)

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A:1024045712587

The 'Full Clarkson–Erdős–Schwartz Theorem' on the closure of non-dense Müntz spaces: The ``Full Clarkson--Erdős--Schwartz Theorem'' on the closure of non-dense Müntz spaces

Authors: Tamás Erdélyi

Source: Studia Mathematica. 155:145-152

Subject Terms: denseness in \(C[0,1]\), Clarkson-Erdős-Schwartz theorem, Müntz theorem, 0101 mathematics, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90299?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm155-2-4
https://www.impan.pl/shop/publication/transaction/download/product/90299?download.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/155/2/90299/the-8220-full-clarkson-8211-erdos-8211-schwartz-theorem-8221-on-the-closure-of-non-dense-muntz-spaces
http://journals.impan.pl/cgi-bin/doi?sm155-2-4

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

Equivalent formulations of the Müntz–Szász completeness condition for systems of complex exponentials: Equivalent formulations of the Müntz-Szász completeness condition for systems of complex exponentials

Authors: Luc Knockaert

Source: Journal of the Franklin Institute. 339:103-109

Subject Terms: completeness of system of exponentials, Approximation by polynomials, Identification in stochastic control theory, approximation by exponentials, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Approximation by other special function classes, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml

Access URL: https://zbmath.org/1839092
https://doi.org/10.1016/s0016-0032(01)00052-7
https://users.ugent.be/~lknockae/pdf/musz.pdf
https://www.sciencedirect.com/science/article/pii/S0016003201000527
https://biblio.ugent.be/publication/166549
https://dblp.uni-trier.de/db/journals/jfi/jfi339.html#Knockaert02

On completeness of random exponentials in the Bargmann–Fock space: On completeness of random exponentials in the Bargmann-Fock space

Authors: Leonid Pastur, Yu. Lyubarskii, G. P. Chistyakov

Source: Journal of Mathematical Physics. 42:3754-3768

Subject Terms: ergodic point field, completeness, Bargmann-Fock space, 0103 physical sciences, Completeness of sets of functions in one variable harmonic analysis, random exponentials, 0101 mathematics, system of exponentials, 01 natural sciences, Probabilistic methods for one variable harmonic analysis, Completeness problems, closure of a system of functions of one complex variable, Commutation relations and statistics as related to quantum mechanics (general)

File Description: application/xml

Access URL: https://zbmath.org/1711430
https://doi.org/10.1063/1.1379311
http://ui.adsabs.harvard.edu/abs/2001JMP....42.3754C/abstract
https://aip.scitation.org/doi/10.1063/1.1379311

On the Hilbert Transform in Bergman Space: On the Hilbert transform in the Bergman space.

Authors: R. S. Yulmukhametov, V. V. NapalkovJr.

Source: Mathematical Notes. 70:61-70

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), 0103 physical sciences, Spaces of bounded analytic functions of one complex variable, Bergman space, Special integral transforms (Legendre, Hilbert, etc.), Blaschke products, etc, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, Hilbert transform

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1010221901553
https://link.springer.com/content/pdf/10.1023/A:1010221901553.pdf

on the hilbert transform in bergman space: On the Hilbert transform in the Bergman space.

Authors: R. S. Yulmukhametov, V. V. NapalkovJr.

Source: Mathematical Notes. 70(1):61-70

Subject Terms: Singular and oscillatory integrals (Calderón-Zygmund, etc.), Banach spaces of continuous, differentiable or analytic functions, Linear operators on function spaces (general), Spaces of bounded analytic functions of one complex variable, Bergman space, Special integral transforms (Legendre, Hilbert, etc.), Blaschke products, etc, Completeness problems, closure of a system of functions of one complex variable, Hilbert transform

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1010221901553
https://link.springer.com/content/pdf/10.1023/A:1010221901553.pdf

FIR filter design problems of simultaneous approximation of magnitude and phase and magnitude and group delay: FIR filter design problems for simultaneous approximation of magnitude and phase and magnitude and group delay

Authors: Rembert Reemtsen

Source: Mathematical Methods in the Applied Sciences. 24:561-581

Subject Terms: magnitude and phase, simultaneous approximation, Digital control/observation systems, Simultaneous approximation, 0202 electrical engineering, electronic engineering, information engineering, magnitude and group delay, 02 engineering and technology, Approximation in the complex plane, Completeness problems, closure of a system of functions of one complex variable, Frequency-response methods in control theory, FR filter design

File Description: application/xml

Access URL: https://zbmath.org/1626221
https://doi.org/10.1002/mma.229
https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/380
https://ui.adsabs.harvard.edu/abs/2001MMAS...24..561R/abstract
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/mma.229

ON THE GROWTH OF UNIVERSAL MEROMORPHIC FUNCTIONS: On the growth of universal meromorphic functions

Authors: Valeri A. Martirosian, Wolfgang Luh

Source: Analysis. 20:137-148

Subject Terms: universal functions, universal translates, complex approximation, 0101 mathematics, Approximation in the complex plane, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Nevanlinna characteristic

File Description: application/xml

Access URL: http://www.degruyter.com/view/j/anly.2000.20.issue-2/anly.2000.20.2.137/anly.2000.20.2.137.xml

On the excess of sets of complex exponentials

Authors: Akihiro Nakamura, Ray Redheffer, Nobuhiko Fujii

Source: Proceedings of the American Mathematical Society. 127:1815-1818

Subject Terms: Dirichlet series, exponential series and other series in one complex variable, 0101 mathematics, 01 natural sciences, Completeness problems, closure of a system of functions of one complex variable

File Description: application/xml

Access URL: https://www.ams.org/proc/1999-127-06/S0002-9939-99-04664-X/S0002-9939-99-04664-X.pdf
https://www.jstor.org/stable/119494
https://www.ams.org/proc/1999-127-06/S0002-9939-99-04664-X/S0002-9939-99-04664-X.pdf
https://www.ams.org/journals/proc/1999-127-06/S0002-9939-99-04664-X/home.html

Geometric Properties of Projections of Reproducing Kernels onz*-Invariant Subspaces ofH2: Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\)

Authors: Inna Borisheva

Source: Journal of Functional Analysis. 161:397-417

Subject Terms: complete family, reproducing kernel, Summability and bases, functional analytic aspects of frames in Banach and Hilbert spaces, Schur's algorithm, Riesz bases, extreme point, 01 natural sciences, unconditional basis, reproducing kernels, 0103 physical sciences, Schur-Nevanlinna coefficients, Blaschke condition, extreme points, 0101 mathematics, Completeness problems, closure of a system of functions of one complex variable, minimal family, Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0022123698933560
https://core.ac.uk/display/82697281