Výsledky vyhledávání - "Positive definite functions in one variable harmonic analysis"

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

Autoři: Manov, Anatoliy D.

Zdroj: Sbornik: Mathematics. 215:920-931

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Manov, A. D.

Zdroj: Doklady Mathematics. 109:161-163

Témata: 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

Popis souboru: application/xml

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

Autoři: Mario H. Castro Eugenio Massa Ana Paula Peron

Zdroj: Positivity. 23:853-874

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Unitarily invariant strictly positive definite kernels on spheres

Autoři: Valdir Antônio Menegatto J. C. Guella

Zdroj: Positivity. 22:91-103

Témata: 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

Popis souboru: application/xml

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

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

Autoři: R. Akopyan A. Efimov

Zdroj: Analysis Mathematica. 43:359-369

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Differentiability of bizonal positive definite kernels on complex spheres

Autoři: Valdir Antônio Menegatto

Zdroj: Journal of Mathematical Analysis and Applications. 412:189-199

Témata: Holomorphic functions of several complex variables, bizonal kernels, Positive definite functions in one variable harmonic analysis, sphere, 0101 mathematics, 01 natural sciences, positive definite kernels, differentiability

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6420051
https://doi.org/10.1016/j.jmaa.2013.10.057
https://www.sciencedirect.com/science/article/pii/S0022247X13009724
https://www.sciencedirect.com/science/article/abs/pii/S0022247X13009724
https://core.ac.uk/display/37519780

Classification of infinitely differentiable periodic functions

Autoři: A. S. Serdyuk A. I. Stepanets Andriy L. Shidlich

Zdroj: Ukrainian Mathematical Journal. 60:1982-2005

Témata: \(2\pi\)-periodic function, entire function, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, Positive definite functions in one variable harmonic analysis, trigonometric polynomial, generalized \(\bar\psi\)-derivative, 0101 mathematics, infinitely differentiable periodic functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/s11253-009-0185-1

Conditionally Positive Definite Hyperfunctions: Conditionally positive definite hyperfunctions

Autoři: Jaeyoung Chung Dohan Kim

Zdroj: Publications of the Research Institute for Mathematical Sciences. 41:385-396

Témata: Topological linear spaces of test functions, distributions and ultradistributions, ultradistributions, distributions, Positive definite functions in one variable harmonic analysis, Hyperfunctions, analytic functionals, hyperfunction, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=8
https://zbmath.org/2230585
https://doi.org/10.2977/prims/1145475360
https://www.ems-ph.org/doi/10.2977/prims/1145475360
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=41&iss=2&rank=8

Radial basis functions and corresponding zonal series expansions on the sphere

Autoři: Frank Filbir W. zu Castell

Zdroj: Journal of Approximation Theory. 134:65-79

Témata: Mathematics(all), Numerical Analysis, Applied Mathematics, Positive definite functions in one variable harmonic analysis, radial basis functions, 01 natural sciences, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Bessel functions, conditionally positive definite functions, Gegenbauer polynomials, zonal basis functions, positive definite functions, kriging, Bessel and Airy functions, cylinder functions, \({}_0F_1\), 0101 mathematics, Fourier-Bessel transform, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0021904505000079
https://www.sciencedirect.com/science/article/pii/S0021904505000079
https://dblp.uni-trier.de/db/journals/jat/jat134.html#CastellF05
https://dialnet.unirioja.es/servlet/articulo?codigo=1247669
https://core.ac.uk/display/24529191

A Cauchy-Schwarz type inequality for bilinear integrals on positive measures

Autoři: Nils Ackermann

Zdroj: Proceedings of the American Mathematical Society. 133:2647-2656

Témata: Variational methods for second-order elliptic equations, Inequalities for sums, series and integrals, Inequalities, stochastic orderings, Positive definite functions in one variable harmonic analysis, integral inequalities, positive definite function, Positive definite functions on groups, semigroups, etc, 0101 mathematics, 01 natural sciences, Cauchy-Schwarz inequality

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-09/S0002-9939-05-08082-2/S0002-9939-05-08082-2.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1275577
https://www.ams.org/proc/2005-133-09/S0002-9939-05-08082-2/S0002-9939-05-08082-2.pdf
https://www.ackermath.info/papers/wcsu.pdf
https://www.ams.org/journals/proc/2005-133-09/S0002-9939-05-08082-2/

Spirals in Hilbert space: With an application in information theory: Spirals in Hilbert space: with an application in information theory

Autoři: Fuglede, Bent

Zdroj: Expositiones Mathematicae. 23:23-45

Témata: Helix, Mathematics(all), Information theory, Measures of information, entropy, helix, Jensen-Shannon kernel, Negative definite kernel, Positive definite functions in one variable harmonic analysis, Schoenberg theorem, negative definite kernel, Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization, 01 natural sciences, logarithmic spiral, Spiral, Groups and semigroups of linear operators, Hilbert space embedding, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Metric spaces, metrizability, Schoenberg's theorem, 0101 mathematics, Jensen–Shannon kernel, information theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2175360
https://doi.org/10.1016/j.exmath.2005.01.014
https://www.sciencedirect.com/science/article/pii/S0723086905000150
https://core.ac.uk/display/82010261
https://www.sciencedirect.com/science/article/abs/pii/S0723086905000150

Positive definite dot product kernels in learning theory

Autoři: Fangyan Lu Hongwei Sun

Zdroj: Advances in Computational Mathematics. 22:181-198

Témata: Gramian positive functions, positive definite, Learning and adaptive systems in artificial intelligence, Positive definite functions in one variable harmonic analysis, Mercer kernels, 0101 mathematics, 01 natural sciences, Interpolation in approximation theory, conditionally positive definite

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2140539
https://doi.org/10.1007/s10444-004-3140-6
https://link.springer.com/article/10.1007/s10444-004-3140-6
https://dblp.uni-trier.de/db/journals/adcm/adcm22.html#LuS05
https://link.springer.com/content/pdf/10.1007/s10444-004-3140-6.pdf

Multivariable moment problems

Autoři: Gelu Popescu

Zdroj: Positivity. 8:339-367

Témata: 47A57, 42A82, 46L07, 46L54, free semigroups, moment problems, orbits, Mathematics - Operator Algebras, Positive definite functions in one variable harmonic analysis, Hilbert modules, 01 natural sciences, Poisson transforms, Functional Analysis (math.FA), Mathematics - Functional Analysis, Cuntz-Toeplitz algebras, Free probability and free operator algebras, positive semidefinite kernels, \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, 0101 mathematics, Operator Algebras (math.OA), Linear operator methods in interpolation, moment and extension problems

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0507155v1.pdf
http://arxiv.org/abs/math/0507155
https://ui.adsabs.harvard.edu/abs/2005math......7155P/abstract
https://link.springer.com/article/10.1007/s11117-004-7398-1

Strictly positive definite functions on the unit circle

Autoři: Xingping Sun

Zdroj: Mathematics of Computation. 74:709-721

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Convolution roots of radial positive definite functions with compact support

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Autoři: Allan Pinkus

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Bochner Schwartz Type Theorem for Conditionally Positive Definite Fourier Hyperfunctions*: Bochner Schwartz type theorem for conditionally positive definite Fourier hyperfunctions

Autoři: Soon-Yeong Chung Jaeyoung Chung Dohan Kim

Zdroj: Positivity. 7:323-334

Témata: Fourier hyperfunctions, Positive definite functions in one variable harmonic analysis, Hyperfunctions, analytic functionals, 0101 mathematics, Bochner-Schwartz theorem, 01 natural sciences, conditional positivity

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A:1026267320195

Length functions of lemniscates

Autoři: Olga S. Kuznetsova Vladimir G. Tkachev

Zdroj: manuscripta mathematica. 112:519-538

Témata: Mathematics - Differential Geometry, Laplace transform, Mathematics - Complex Variables, Research exposition (monographs, survey articles) pertaining to functions of a complex variable, Positive definite functions in one variable harmonic analysis, lemniscate, bilateral Laplace transform, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Differential Geometry (math.DG), 44A10, length function, 30E05, 42A82, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0306327
http://arxiv.org/abs/math/0306327
https://zbmath.org/2078214
https://doi.org/10.1007/s00229-003-0411-3
https://arxiv.org/pdf/math/0306327v2
http://ui.adsabs.harvard.edu/abs/2003math......6327K/abstract
https://arxiv.org/abs/math/0306327
https://link.springer.com/article/10.1007/s00229-003-0411-3
https://link.springer.com/content/pdf/10.1007/s00229-003-0411-3.pdf
http://www.diva-portal.org/smash/record.jsf?pid=diva2:607600
https://documat.unirioja.es/servlet/articulo?codigo=2804562
https://dialnet.unirioja.es/servlet/articulo?codigo=2804562

bochner schwartz type theorem for conditionally positive definite fourier hyperfunctions: Bochner Schwartz type theorem for conditionally positive definite Fourier hyperfunctions

Autoři: Soon-Yeong Chung Jaeyoung Chung Dohan Kim

Zdroj: Positivity. 7(4):323-334

Témata: Fourier hyperfunctions, Positive definite functions in one variable harmonic analysis, Hyperfunctions, analytic functionals, Bochner-Schwartz theorem, conditional positivity

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/A:1026267320195

More Eventual Positivity for Analytic Functions: More eventual positivity for analytic functions.

Autoři: David Handelman

Zdroj: Canadian Journal of Mathematics. 55:1019-1079

Témata: eventual positivity, 0301 basic medicine, density problem, 03 medical and health sciences, Polynomials and rational functions of one complex variable, pure trace space, Positive definite functions in one variable harmonic analysis, Maclaurin series with nonnegative coefficients, 0101 mathematics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), 16. Peace & justice, 01 natural sciences, Power series (including lacunary series) in one complex variable

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2012346
https://doi.org/10.4153/cjm-2003-041-7
https://dialnet.unirioja.es/servlet/articulo?codigo=769826