Search Results - "Kernel functions in one complex variable and applications"

On the construction of uniformly convergent disk polynomial expansions

Authors: C. P. Oliveira Ana Paula Peron Valdir Antônio Menegatto

Source: Collectanea mathematica. 62:151-159

Subject Terms: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), disk polynomials, Harmonic analysis of several complex variables, Kernel functions in one complex variable and applications, Poisson-Szegő kernel, 0101 mathematics, Spherical harmonics, Bergman kernel, orthogonal expansions, 01 natural sciences, Power series (including lacunary series) in one complex variable, Power series, series of functions of several complex variables

File Description: application/xml

Access URL: https://dialnet.unirioja.es/servlet/articulo?codigo=7032862
https://link.springer.com/article/10.1007%2Fs13348-010-0017-5

The failure of rational dilation on a triply connected domain

Authors: Dritschel MA Mccullough S

Source: Journal of the American Mathematical Society. 18:873-918

Subject Terms: multiply connected domain, Nevanlinna-Pick interpolation, Mathematics - Operator Algebras, Kernel functions in one complex variable and applications, Herglotz representation, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Functional Analysis (math.FA), Spectral sets of linear operators, Mathematics - Functional Analysis, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc, Riemann surface, theta function, FOS: Mathematics, Compact Riemann surfaces and uniformization, transfer function, Dilations, extensions, compressions of linear operators, dilation, spectral set, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Fay reproducing kernel, 0101 mathematics, inner function, Operator Algebras (math.OA), 47A25 (Primary), 30C40, 30E05, 30F10, 46E22, 47A20, 47A48 (Secondary)

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Access URL: https://www.ams.org/jams/2005-18-04/S0894-0347-05-00491-1/S0894-0347-05-00491-1.pdf
http://arxiv.org/abs/math/0310398
https://zbmath.org/2199896
https://doi.org/10.1090/s0894-0347-05-00491-1
http://ui.adsabs.harvard.edu/abs/2003math.....10398D/abstract
https://www.jstor.org/stable/20161261
https://eprints.ncl.ac.uk/71814
https://www.ams.org/journals/jams/2005-18-04/S0894-0347-05-00491-1/home.html
https://www.ams.org/jams/2005-18-04/S0894-0347-05-00491-1/S0894-0347-05-00491-1.pdf

On some problems related to Berezin symbols

Authors: Karaev, MT

Source: Comptes Rendus. Mathématique. 340:715-718

Subject Terms: reproducing kernels, Linear operators on function spaces (general), Kernel functions in one complex variable and applications, Bergman space, Beurling theorem, Hardy space, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), Berezin symbols, 0101 mathematics, Hilbert spaces of continuous, differentiable or analytic functions, radial boundary values, 01 natural sciences, \(H^p\)-classes

File Description: application/xml

Access URL: https://zbmath.org/2182147
https://doi.org/10.1016/j.crma.2005.04.021
https://www.sciencedirect.com/science/article/pii/S1631073X05001627
http://www.sciencedirect.com/science/article/pii/S1631073X05001627
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/92173

SOME DUALITY OF WEIGHTED BERGMAN SPACES OF THE HALF-PLANE: Some duality of weighted Bergman spaces of the half-plane

Authors: Si-Ho Kang

Source: Bulletin of the Korean Mathematical Society. 42:387-396

Subject Terms: dual space, Bloch space, Banach spaces of continuous, differentiable or analytic functions, holomorphic function, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Kernel functions in one complex variable and applications, Normal functions of one complex variable, normal families, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, 01 natural sciences, analytic function, weighted Bergman space

File Description: application/xml

Access URL: http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n2/E1BMAX_2005_v42n2_387.pdf
https://zbmath.org/2205489
https://doi.org/10.4134/bkms.2005.42.2.387
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2005_v42n2_387

Behaviour of Kernel Functions under Homotopic Variations of Planar Domains: Behaviour of kernel functions under homotopic variations of planar domains

Authors: Eric Schippers

Source: Computational Methods and Function Theory. 4:283-298

Subject Terms: Extremal problems for conformal and quasiconformal mappings, variational methods, Hadamard variation, Kernel functions in one complex variable and applications, Green's function, 0101 mathematics, Bergman kernel, 01 natural sciences

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Access URL: https://zbmath.org/2186780
https://doi.org/10.1007/bf03321070
https://rd.springer.com/article/10.1007/BF03321070
https://server.math.umanitoba.ca/~schippers/cmf0420.pdf
https://link.springer.com/article/10.1007/BF03321070

Spectrum of the Kerzman?Stein Operator for Model Domains: Spectrum of the Kerzman-Stein operator for model domains

Authors: Bolt, Michael Department of Mathematics, University of Michigan, Ann Arbor, Michigan, 48109, USA Ann Arbor

Contributors: Bolt, Michael Department of Mathematics, University of Michigan, Ann Arbor, Michigan, 48109, USA Ann Arbor

Source: Integral Equations and Operator Theory. 50:305-315

Subject Terms: Integral operators, Eigenvalue problems for integral equations, 45E05, Science, Kernel functions in one complex variable and applications, 30C40, Euclidean measure, 01 natural sciences, Kerzman-Stein operator, Integral equations with kernels of Cauchy type, 0101 mathematics, continuous spectrum, Mathematics, Analysis, 45E10, inverse Fourier transforms

File Description: application/xml; 332733 bytes; 3115 bytes; application/pdf; text/plain

Access URL: http://deepblue.lib.umich.edu/bitstream/2027.42/42960/1/20_2003_Article_1294.pdf
https://link.springer.com/article/10.1007/s00020-003-1294-0
https://core.ac.uk/display/3104985
https://deepblue.lib.umich.edu/handle/2027.42/42960
https://deepblue.lib.umich.edu/bitstream/handle/2027.42/42960/20_2003_Article_1294.pdf;sequence=1

Operators associated with conditionally positive definite kernels: Operators associated with conditionally positive definite kernels.

Authors: C. P. Oliveira Valdir Antônio Menegatto Ana Paula Peron

Source: Indagationes Mathematicae. 15:357-371

Subject Terms: projections, Mathematics(all), Conditionally positive definite kernels, Multidimensional problems, Kernel functions in one complex variable and applications, 01 natural sciences, interpolation, Lagrange-type basis, Positive definite kernels, Linear operators on function spaces (general), Domains, 0101 mathematics, invariant subspaces, Interpolation in approximation theory, positive definite kernels, domains, Projections

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Access URL: https://zbmath.org/2124776
https://doi.org/10.1016/s0019-3577(04)80005-3
https://documat.unirioja.es/servlet/articulo?codigo=1017339
https://www.sciencedirect.com/science/article/abs/pii/S0019357704800053
https://www.sciencedirect.com/science/article/pii/S0019357704800053
https://dialnet.unirioja.es/servlet/articulo?codigo=1017339

Approximation of Conformal Mapping via the Szegő Kernel Method: Approximation of conformal mapping via the Szegő kernel method

Authors: Igor E. Pritsker

Source: Computational Methods and Function Theory. 3:79-94

Subject Terms: convergence of the Szegö kernel expansion, conformal mapping, Mathematics - Complex Variables, 4. Education, Kernel functions in one complex variable and applications, Approximation in the complex plane, 16. Peace & justice, Fourier series, Primary 30C40, 30E10, Secondary 41A10, 30C30, Approximation by polynomials, Schwarz-Christoffel-type mappings, FOS: Mathematics, Complex Variables (math.CV), orthogonal polynomials, approximation of conformal maps, rate of convergence

File Description: application/xml

Access URL: http://www.math.okstate.edu/~igor/szkern.pdf
http://arxiv.org/abs/1307.5363
https://link.springer.com/article/10.1007/BF03321026
https://math.okstate.edu/people/igor/szkern.pdf
http://ui.adsabs.harvard.edu/abs/2013arXiv1307.5363P/abstract

Szegö and Bergman projections on non-smooth planar domains

Authors: Loredana Lanzani Elias M. Stein

Source: Journal of Geometric Analysis. 14:63-86

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), simply connected domain, Boundary value problems in the complex plane, Conformal mappings of special domains, Kernel functions in one complex variable and applications, Integral representations, integral operators, integral equations methods in two dimensions, Bergman projection, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Ahlfors-regular curve, chord arc curve, conformal map, Dirichlet problem, Lipschitz curve, Riesz transform, Szegö projection, Szegő projection

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Access URL: https://zbmath.org/2070480
https://doi.org/10.1007/bf02921866
https://experts.syr.edu/en/publications/szeg%C3%B6-and-bergman-projections-on-non-smooth-planar-domains
https://link.springer.com/article/10.1007/BF02921866
https://hdl.handle.net/11585/873269
https://doi.org/10.1007/BF02921866

Bergman completeness of Zalcman type domains

Authors: Jucha, Piotr

Source: Studia Mathematica. 163:71-83

Subject Terms: Bergman exhaustiveness, Bergman completeness, Capacity and harmonic measure in the complex plane, Integral representations, canonical kernels (Szegő, Bergman, etc.), Kernel functions in one complex variable and applications, 0101 mathematics, 01 natural sciences, Invariant metrics and pseudodistances in several complex variables

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90722?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm163-1-4
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/163/1/90722/bergman-completeness-of-zalcman-type-domains
https://www.impan.pl/shop/publication/transaction/download/product/90722?download.pdf
https://ruj.uj.edu.pl/xmlui/handle/item/81642
https://ruj.uj.edu.pl/xmlui/handle/item/81642

Estimates on Kernel Functions of Elliptically Schlicht Domains: Estimates on kernel functions of elliptically schlicht domains

Authors: Eric Schippers

Source: Computational Methods and Function Theory. 2:579-596

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), elliptic capacity, Extremal problems for conformal and quasiconformal mappings, other methods, non-overlapping domains, Kernel functions in one complex variable and applications, General theory of univalent and multivalent functions of one complex variable, Green's function, 0101 mathematics, Bergman kernel, 01 natural sciences, elliptically schlicht functions, domain functions

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Access URL: https://zbmath.org/2103485
https://doi.org/10.1007/bf03321866
https://link.springer.com/article/10.1007/BF03321866

Analytic continuation and identities involving heat, Poisson, wave and Bessel kernels

Authors: Jay Jorgenson Serge Lang

Source: Mathematische Nachrichten. 258:44-70

Subject Terms: Riemannian manifold, Heat equation, Integral representations of solutions to PDEs, Wave equation, Kernel functions in one complex variable and applications, Fundamental solutions to PDEs, Heat and other parabolic equation methods for PDEs on manifolds, 0101 mathematics, 01 natural sciences, spectrum

File Description: application/xml

Access URL: http://onlinelibrary.wiley.com/doi/10.1002/mana.200310086/abstract

Structure of the kernels associated with invariant subspaces of the Bergman shift: Structure of the kernels associated with invariant subspaces of the Bergman shift.

Authors: George Chailos

Source: Bulletin of the Australian Mathematical Society. 67:445-457

Subject Terms: positive sesquianalytic kernels, reproducing kernels, Invariant subspaces of linear operators, meromorphic continuation, multiplication operator, Bergman spaces, Kernel functions in one complex variable and applications, 0101 mathematics, invariant subspaces, 01 natural sciences, \(H^p\)-classes, Special classes of linear operators

File Description: application/xml

Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7201D883ED1AC2DF462D6FC273567409/S0004972700037242a.pdf/div-class-title-structure-of-the-kernels-associated-with-invariant-subspaces-of-the-bergman-shift-div.pdf
https://zbmath.org/2005205
https://doi.org/10.1017/s0004972700037242
https://pure.unic.ac.cy/en/publications/structure-of-the-kernels-associated-with-invariant-subspaces-of-t
https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/structure-of-the-kernels-associated-with-invariant-subspaces-of-the-bergman-shift/7201D883ED1AC2DF462D6FC273567409
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7201D883ED1AC2DF462D6FC273567409/S0004972700037242a.pdf/div-class-title-structure-of-the-kernels-associated-with-invariant-subspaces-of-the-bergman-shift-div.pdf

ALGEBRAIC KERNEL FUNCTIONS AND REPRESENTATION OF PLANAR DOMAINS: Algebraic kernel functions and representation of planar domains

Authors: Masahiko Taniguchi Moonja Jeong

Source: Journal of the Korean Mathematical Society. 40:447-460

Subject Terms: conformal representation, algebraic function, Ahlfors map, Szegö kernel, Kernel functions in one complex variable and applications, Conformal mappings of special domains, 0101 mathematics, Teichmüller theory for Riemann surfaces, Bergman kernel, non-degenerate \(n\)-connected canonical domains, 01 natural sciences

File Description: application/xml

Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2003/v40n3/DBSHBB_2003_v40n3_447.pdf
https://zbmath.org/1932144
https://doi.org/10.4134/jkms.2003.40.3.447
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2003_v40n3_447

Logarithmic capacity and Bergman functions

Authors: Pflug, Peter Zwonek, Włodzimierz

Source: Archiv der Mathematik. 80:536-552

Subject Terms: Bergman metric, Capacity and harmonic measure in the complex plane, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Kernel functions in one complex variable and applications, 0101 mathematics, Bergman kernel, logarithmic capacity, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1993487
https://doi.org/10.1007/s0013-003-0096-6
https://link.springer.com/article/10.1007/s0013-003-0096-6
https://core.ac.uk/display/41503897
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124879
https://ruj.uj.edu.pl/xmlui/handle/item/80701

Complexity in Complex Analysis: Complexity in complex analysis.

Authors: Steven R. Bell

Source: Advances in Mathematics. 172:15-52

Subject Terms: Mathematics(all), Garabedian kernel, Mathematics - Complex Variables, Szegő kernel, Kernel functions in one complex variable and applications, 30C40, Green's function, Bergman kernel, 01 natural sciences, Mathematics - Classical Analysis and ODEs, Poisson kernel, Ahlfors map, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Compact Riemann surfaces and uniformization, Complex Variables (math.CV), 0101 mathematics, Covering theorems in conformal mapping theory, primitive pair of meromorphic functions

File Description: application/xml

Access URL: http://arxiv.org/abs/math/0201164
https://zbmath.org/1888327
https://doi.org/10.1006/aima.2002.2076
https://core.ac.uk/display/2565720
https://www.sciencedirect.com/science/article/pii/S0001870802920761
https://www.sciencedirect.com/science/article/abs/pii/S0001870802920761
https://dialnet.unirioja.es/servlet/articulo?codigo=320839

Generalized Weierstrass kernels on the intersection of two complex hypersurfaces

Authors: Franco Ferrari

Source: Journal of Geometry and Physics. 40:233-258

Subject Terms: Riemann surfaces, Mathematics - Algebraic Geometry, correlation functions, meromorphic tensors, 0103 physical sciences, FOS: Mathematics, Kernel functions in one complex variable and applications, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, 0101 mathematics, holomorphic differential, Algebraic Geometry (math.AG), 01 natural sciences, bosonic string theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0012109
http://arxiv.org/abs/math/0012109
https://www.sciencedirect.com/science/article/pii/S0393044001000377
https://ui.adsabs.harvard.edu/abs/2002JGP....40..233F/abstract

Szegő projections for hardy spaces of monogenic functions and applications: Szegő projections for Hardy spaces of monogenic functions and applications

Authors: Bernstein S. Lanzani L.

Source: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 10, Pp 613-624 (2002)

Subject Terms: Boundary value and inverse problems for harmonic functions in two dimensions, monogenic functions, Integral representations, integral operators, integral equations methods in higher dimensions, Hardy spaces, Kernel functions in one complex variable and applications, Bergman kernel, 01 natural sciences, Functions of hypercomplex variables and generalized variables, QA1-939, Integral representations, integral operators, integral equations methods in two dimensions, 0101 mathematics, Clifford, Cauchy, Szego, Mathematics, Szegő projection

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
https://zbmath.org/1780381
https://doi.org/10.1155/s0161171202011870
https://doaj.org/article/994e73d969fd4541a6ec9e9dadb6f8c3
http://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume29_10/624.pdf
https://doaj.org/article/994e73d969fd4541a6ec9e9dadb6f8c3
https://www.emis.de/journals/HOA/IJMMS/Volume29_10/624.pdf
https://experts.syr.edu/en/publications/szeg%C3%B6-projections-for-hardy-spaces-of-monogenic-functions-and-app
https://downloads.hindawi.com/journals/ijmms/2002/427561.pdf
https://hdl.handle.net/11585/873560
https://doi.org/10.1155/S0161171202011870

Variational Formula for Bergman Kernels: Variational formula for Bergman kernels

Authors: N. A. Shirokov

Source: Journal of Mathematical Sciences. 107:4125-4142

Subject Terms: Integral representations, canonical kernels (Szegő, Bergman, etc.), Kernel functions in one complex variable and applications, Bergman kernels, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1012405120261

Reproducing Kernels and Extremal Functions in Dirichlet-Type Spaces: Reproducing kernels and extremal functions in Dirichlet-type spaces

Authors: S. M. Shimorin

Source: Journal of Mathematical Sciences. 107:4108-4124

Subject Terms: Aleman's theorem, reproducing kernels, extremal functions, Dirichlet type spaces, Kernel functions in one complex variable and applications, contractive multipliers, Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces), 0101 mathematics, vector-valued spaces, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1012453003423
https://link.springer.com/content/pdf/10.1023/A:1012453003423.pdf