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

Συγγραφείς: Manov, Anatoliy D.

Πηγή: Sbornik: Mathematics. 215:920-931

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Manov, A. D.

Πηγή: Doklady Mathematics. 109:161-163

Θεματικοί όροι: 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

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

Συγγραφείς: Mario H. Castro, Eugenio Massa, Ana Paula Peron

Πηγή: Positivity. 23:853-874

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Valdir Antônio Menegatto, J. C. Guella

Πηγή: Positivity. 22:91-103

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

Συγγραφείς: R. Akopyan, A. Efimov

Πηγή: Analysis Mathematica. 43:359-369

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Valdir Antônio Menegatto

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

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

Συγγραφείς: A. S. Serdyuk, A. I. Stepanets, Andriy L. Shidlich

Πηγή: Ukrainian Mathematical Journal. 60:1982-2005

Θεματικοί όροι: \(2\pi\)-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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007/s11253-009-0185-1

Conditionally Positive Definite Hyperfunctions: Conditionally positive definite hyperfunctions

Συγγραφείς: Jaeyoung Chung, Dohan Kim

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Frank Filbir, W. zu Castell

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Nils Ackermann

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Fuglede, Bent

Πηγή: Expositiones Mathematicae. 23:23-45

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Fangyan Lu, Hongwei Sun

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Gelu Popescu

Πηγή: Positivity. 8:339-367

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Xingping Sun

Πηγή: Mathematics of Computation. 74:709-721

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Tilmann Gneiting, Werner Ehm, Donald St. P. Richards

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Allan Pinkus

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

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Soon-Yeong Chung, Jaeyoung Chung, Dohan Kim

Πηγή: Positivity. 7:323-334

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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1026267320195

Length functions of lemniscates

Συγγραφείς: Olga S. Kuznetsova, Vladimir G. Tkachev

Πηγή: manuscripta mathematica. 112:519-538

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: 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

Συγγραφείς: Soon-Yeong Chung, Jaeyoung Chung, Dohan Kim

Πηγή: Positivity. 7(4):323-334

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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1023/A:1026267320195

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

Συγγραφείς: David Handelman

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

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

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