Suchergebnisse - Positive definite functions in one variable harmonic analysis

An extremal problem for positive definite functions with support in a ball

Autoren: Manov, Anatoliy D.

Quelle: Sbornik: Mathematics. 215:920-931

Schlagwörter: extremal problems, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Fourier transform, Positive definite functions in one variable harmonic analysis, positive definite functions, Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities), entire functions of exponential spherical type

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7945702
https://doi.org/10.4213/sm10006e

On an Extremal Problem for Compactly Supported Positive Definite Functions: On an extremal problem for compactly supported positive definite functions

Autoren: Manov, A. D.

Quelle: Doklady Mathematics. 109:161-163

Schlagwörter: extremal problems, Convolution, factorization for one variable harmonic analysis, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Fourier transform, Positive definite functions in one variable harmonic analysis, positive definite functions, entire functions of exponential spherical type

Dateibeschreibung: application/xml

Boas–Kac roots of positive definite functions of several variables: Boas-Kac roots of positive definite functions of several variables

Autoren: R. Akopyan A. Efimov

Quelle: Analysis Mathematica. 43:359-369

Schlagwörter: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Entire functions of several complex variables, entire function, Positive definite functions in one variable harmonic analysis, positive definite function, 0101 mathematics, Boas-Kac root, 16. Peace & justice, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6837258
https://doi.org/10.1007/s10476-017-0202-9
https://link.springer.com/article/10.1007/s10476-017-0202-9
https://link.springer.com/content/pdf/10.1007%2Fs10476-017-0202-9.pdf

Characterization of Strict Positive Definiteness on products of complex spheres: Characterization of strict positive definiteness on products of complex spheres

Autoren: Mario H. Castro Eugenio Massa Ana Paula Peron

Quelle: Positivity. 23:853-874

Schlagwörter: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), 42A82, 42C10, Mathematics - Classical Analysis and ODEs, product of complex spheres, generalized Zernike polynomial, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Positive definite functions in one variable harmonic analysis, strictly positive definite functions, Positive definite functions on groups, semigroups, etc

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1803.06264
http://arxiv.org/abs/1803.06264
https://zbmath.org/7118383
https://doi.org/10.1007/s11117-018-00641-5
http://ui.adsabs.harvard.edu/abs/2018arXiv180306264C/abstract
https://arxiv.org/abs/1803.06264
https://arxiv.org/pdf/1803.06264.pdf
https://link.springer.com/article/10.1007/s11117-018-00641-5

Positive Definite Functions and Operator Inequalities: Positive definite functions and operator inequalities.

Autoren: K. R. Parthasarathy Rajendra Bhatia

Quelle: Bulletin of the London Mathematical Society. 32:214-228

Schlagwörter: positive definite matrix, operator inequalities, Schur multiplier, divided-difference matrices, Positive definite functions in one variable harmonic analysis, Lyapunov equation, Schur product, Norms (inequalities, more than one norm, etc.) of linear operators, operator monotone functions, 01 natural sciences, Miscellaneous inequalities involving matrices, Norms of matrices, numerical range, applications of functional analysis to matrix theory, positive definite functions, norm inequality, Linear operator inequalities, Heinz inequalities, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1463675
https://doi.org/10.1112/s0024609399006797
https://academic.oup.com/blms/article-abstract/32/2/214/463849
http://repository.ias.ac.in/2520/
https://londmathsoc.onlinelibrary.wiley.com/doi/pdf/10.1112/S0024609399006797

Recurrence relations for radial positive definite functions

Autoren: Wolfgang zu Castell

Quelle: Journal of Mathematical Analysis and Applications. 271:108-123

Schlagwörter: Meijer's G-function, recurrence relations, radial positive definite functions, Applied Mathematics, Positive definite functions in one variable harmonic analysis, 01 natural sciences, Spherically symmetric characteristic functions, Turning bands operator, Radial basis functions, Fractional operators, Applications of hypergeometric functions, Fractional derivatives and integrals, turning bands operator, Positive definite functions on groups, semigroups, etc, 0101 mathematics, spherically symmetric characteristic functions, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1836742
https://doi.org/10.1016/s0022-247x(02)00101-4
https://www.sciencedirect.com/science/article/pii/S0022247X02001014

A necessary and sufficient condition for strictly positive definite functions on spheres

Autoren: Xingping Sun Debao Chen Valdir Antônio Menegatto

Quelle: Proceedings of the American Mathematical Society. 131:2733-2740

Schlagwörter: Harmonic analysis on homogeneous spaces, Gegenbauer polynomials, strict positive-definiteness, Positive definite functions in one variable harmonic analysis, spherical harmonics, Positive definite functions on groups, semigroups, etc, 0101 mathematics, Spherical harmonics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2003-131-09/S0002-9939-03-06730-3/S0002-9939-03-06730-3.pdf
https://www.ams.org/journals/proc/2003-131-09/S0002-9939-03-06730-3/
https://repositorio.usp.br/item/001351932
https://www.ams.org/proc/2003-131-09/S0002-9939-03-06730-3/S0002-9939-03-06730-3.pdf
https://www.jstor.org/stable/1194566

Unitarily invariant strictly positive definite kernels on spheres

Autoren: Valdir Antônio Menegatto J. C. Guella

Quelle: Positivity. 22:91-103

Schlagwörter: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), unitary group, Positive definite functions in one variable harmonic analysis, Zernike polynomials, Positive definite functions on groups, semigroups, etc, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/6861653
https://doi.org/10.1007/s11117-017-0502-0
https://link.springer.com/article/10.1007/s11117-017-0502-0

On a problem of Turán about positive definite functions

Autoren: Szilárd Gy. Révész Mihail N. Kolountzakis

Quelle: Proceedings of the American Mathematical Society. 131:3423-3430

Schlagwörter: spectral domains, Positive definite functions in one variable harmonic analysis, 52C22, 01 natural sciences, Turán's extremal problem, lattice tilings, 26D15, 42B10, 42A05, 42A82, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Mathematics - Classical Analysis and ODEs, Tilings in \(n\) dimensions (aspects of discrete geometry), Classical Analysis and ODEs (math.CA), FOS: Mathematics, Inequalities for sums, series and integrals, positive definite functions, Fuglede's conjecture, 0101 mathematics, tilings of space

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2003-131-11/S0002-9939-03-07023-0/S0002-9939-03-07023-0.pdf
http://arxiv.org/abs/math/0204086
https://zbmath.org/1955399
https://doi.org/10.1090/s0002-9939-03-07023-0
https://www.jstor.org/stable/1194649
http://mk.eigen-space.org/ps/turan.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=656216
https://www.ams.org/journals/proc/2003-131-11/S0002-9939-03-07023-0/home.html
https://documat.unirioja.es/servlet/articulo?codigo=656216

Strictly positive definite functions on a compact group

Autoren: Tomasz Przebinda Mohamed Allali

Quelle: Proceedings of the American Mathematical Society. 129:1459-1462

Schlagwörter: Bochner's theorem, Fourier transform, positive definite functions, Positive definite functions in one variable harmonic analysis, Gelfand pair, Geometry and Topology, Positive definite functions on groups, semigroups, etc, 0101 mathematics, 10. No inequality, Harmonic analysis and spherical functions, 01 natural sciences, Interpolation in approximation theory

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://www.ams.org/proc/2001-129-05/S0002-9939-00-05687-2/S0002-9939-00-05687-2.pdf
https://www.ams.org/proc/2001-129-05/S0002-9939-00-05687-2/S0002-9939-00-05687-2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=728877
https://digitalcommons.chapman.edu/scs_articles/269/
http://digitalcommons.chapman.edu/cgi/viewcontent.cgi?article=1270&context=scs_articles
https://www.jstor.org/stable/2668756
https://www.ams.org/journals/proc/2001-129-05/S0002-9939-00-05687-2/home.html

Strictly positive definite functions on the unit circle

Autoren: Xingping Sun

Quelle: Mathematics of Computation. 74:709-721

Schlagwörter: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, Kronecker approximation property, equidistribution, Trigonometric interpolation, Positive definite functions in one variable harmonic analysis, positive definite functions, strictly positive sequences of integers, 0101 mathematics, Spherical harmonics, 01 natural sciences, Interpolation in approximation theory

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/mcom/2005-74-250/S0025-5718-04-01668-0/S0025-5718-04-01668-0.pdf
https://dblp.uni-trier.de/db/journals/moc/moc74.html#Sun05
http://ui.adsabs.harvard.edu/abs/2005MaCom..74..709S/abstract
https://www.ams.org/journals/mcom/2005-74-250/S0025-5718-04-01668-0/home.html
http://dblp.uni-trier.de/db/journals/moc/moc74.html#Sun05
https://doi.org/10.1090/S0025-5718-04-01668-0
https://www.ams.org/mcom/2005-74-250/S0025-5718-04-01668-0/S0025-5718-04-01668-0.pdf

Extension of a Function from the Exterior of an Interval to a Positive-Definite Function on the Entire Axis and an Approximation Characteristic of the Class W r, β M: Extension of a function from the exterior of an interval to a positive-definite function on the entire axis and an approximation characteristic of the class \(W_M^{r,\beta}\)

Autoren: V. P. Zastavnyi

Quelle: Ukrainian Mathematical Journal. 55:1189-1197

Schlagwörter: positive-definite function, approximation characteristic, Positive definite functions in one variable harmonic analysis, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2210441
https://doi.org/10.1023/b:ukma.0000010615.53499.b0
https://link.springer.com/article/10.1023/B:UKMA.0000010615.53499.b0

Criteria of Pólya type for radial positive definite functions

Autoren: Tilmann Gneiting

Quelle: Proceedings of the American Mathematical Society. 129:2309-2318

Schlagwörter: Pólya type criterion, Characteristic functions, other transforms, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Positive definite functions in one variable harmonic analysis, positive definite function, Kuttner-Golubov problem, radial function, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/proc/2001-129-08/S0002-9939-01-05839-7/S0002-9939-01-05839-7.pdf
https://zbmath.org/1597896
https://doi.org/10.1090/s0002-9939-01-05839-7
https://www.ams.org/proc/2001-129-08/S0002-9939-01-05839-7/S0002-9939-01-05839-7.pdf
https://www.ams.org/journals/proc/2001-129-08/S0002-9939-01-05839-7/
https://dialnet.unirioja.es/servlet/articulo?codigo=732866

Strictly positive definite functions on spheres in Euclidean spaces

Autoren: Xingping Sun Amos Ron

Quelle: Mathematics of Computation. 65:1513-1530

Schlagwörter: Harmonic analysis in several variables, analytic polynomials, unit sphere, Positive definite functions in one variable harmonic analysis, strictly positive definite functions, harmonic polynomials, 0101 mathematics, Spherical harmonics, 01 natural sciences, Interpolation in approximation theory, multivariate polynomial interpolation

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/mcom/1996-65-216/S0025-5718-96-00780-6/S0025-5718-96-00780-6.pdf
https://zbmath.org/953658
https://doi.org/10.1090/s0025-5718-96-00780-6
https://ui.adsabs.harvard.edu/abs/1996MaCom..65.1513R/abstract
https://dblp.uni-trier.de/db/journals/moc/moc65.html#RonS96
https://dl.acm.org/doi/10.1090/S0025-5718-96-00780-6
https://www.ams.org/journals/mcom/1996-65-216/S0025-5718-96-00780-6/home.html
https://bearworks.missouristate.edu/articles-cnas/2722/

Convolution roots of radial positive definite functions with compact support

Autoren: Tilmann Gneiting Werner Ehm Donald St. P. Richards

Quelle: Transactions of the American Mathematical Society. 356:4655-4685

Schlagwörter: Characteristic functions, other transforms, Boas-Kac representation, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, radial positive definite functions, Fourier transform, Positive definite functions in one variable harmonic analysis, radially symmetric convolution roots, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.ams.org/tran/2004-356-11/S0002-9947-04-03502-0/S0002-9947-04-03502-0.pdf
https://zbmath.org/2091260
https://doi.org/10.1090/s0002-9947-04-03502-0
https://www.ams.org/tran/2004-356-11/S0002-9947-04-03502-0/S0002-9947-04-03502-0.pdf
https://pennstate.pure.elsevier.com/en/publications/convolution-roots-of-radial-positive-definite-functions-with-comp
https://www.ams.org/journals/tran/2004-356-11/S0002-9947-04-03502-0/home.html

Quasianalyticity of Positive Definite Continuous Functions: Quasianalyticity of positive definite continuous functions

Autoren: Soon-Yeong Chung

Quelle: Publications of the Research Institute for Mathematical Sciences. 38:725-733

Schlagwörter: Topological linear spaces of test functions, distributions and ultradistributions, positive definite continuous function, quasianalyticity, Positive definite functions in one variable harmonic analysis, \(C^\infty\)-functions, quasi-analytic functions, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=38&iss=4&rank=2
http://ci.nii.ac.jp/naid/130003429180

Strictly Positive Definite Functions on a Real Inner Product Space: Strictly positive definite functions on a real inner product space

Autoren: Allan Pinkus

Quelle: Advances in Computational Mathematics. 20:263-271

Schlagwörter: inner product space, 0202 electrical engineering, electronic engineering, information engineering, Positive definite functions in one variable harmonic analysis, strictly positive definite, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2057570
https://doi.org/10.1023/a:1027362918283
http://www.math.technion.ac.il/~pinkus/papers/sp.pdf
https://dblp.uni-trier.de/db/journals/adcm/adcm20.html#Pinkus04
https://link.springer.com/article/10.1023%2FA%3A1027362918283

Positive Definite Functions on Complex Spheres and their Walks through Dimensions: Positive definite functions on complex spheres and their walks through dimensions

Autoren: Massa E Peron AP Porcu E

Quelle: Symmetry, Integrability and Geometry: Methods and Applications.

Schlagwörter: disk polynomials, Montée, Inference from spatial processes, Positive definite functions in one variable harmonic analysis, descente, Approximation in the complex plane, 01 natural sciences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, walks through dimensions, 0101 mathematics, 42A82, 42C10, 42C05, 30E10, 62M30, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://www.emis.de/journals/SIGMA/2017/088/sigma17-088.pdf
http://arxiv.org/abs/1704.01237
http://www.emis.de/journals/SIGMA/2017/088/
https://bv.fapesp.br/pt/publicacao/139621/positive-definite-functions-on-complex-spheres-and-their-wal/
http://ui.adsabs.harvard.edu/abs/2017SIGMA..13..088M/abstract
https://www.emis.de/journals/SIGMA/2017/088/sigma17-088.pdf
https://arxiv.org/abs/1704.01237
https://www2.math.ethz.ch/EMIS/journals/SIGMA/2017/088/
http://dspace.nbuv.gov.ua/handle/123456789/149263

On the Derivatives of Radial Positive Definite Functions: On the derivatives of radial positive definite functions

Autoren: Tilmann Gneiting

Quelle: Journal of Mathematical Analysis and Applications. 236:86-93

Schlagwörter: radial positive definite functions, Applied Mathematics, derivatives, Positive definite functions in one variable harmonic analysis, random fields, Random fields, 0101 mathematics, smoothness, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1340102
https://doi.org/10.1006/jmaa.1999.6434
https://www.sciencedirect.com/science/article/pii/S0022247X9996434X
https://www.sciencedirect.com/science/article/abs/pii/S0022247X9996434X
https://core.ac.uk/display/82687810

Density properties of Hankel translations of positive definite functions

Autoren: Lourdes Rodríguez-Mesa Jorge J. Betancor

Quelle: Archiv der Mathematik. 75:456-463

Schlagwörter: Convolution as an integral transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Integral transforms of special functions, Positive definite functions in one variable harmonic analysis, Hankel positive defined functions, Special integral transforms (Legendre, Hilbert, etc.), 0101 mathematics, Hankel transform, 01 natural sciences, Hankel translation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1579981
https://doi.org/10.1007/s000130050529
https://link.springer.com/article/10.1007/s000130050529