Search Results - Kernel functions in one complex variable and applications

Properties of a polyanalytic functional calculus on the S‐spectrum.

Authors: De Martino, Antonino Pinton, Stefano

Source: Mathematische Nachrichten; Nov2023, Vol. 296 Issue 11, p5190-5226, 37p

Subject Terms: MONOGENIC functions, CALCULUS, REAL variables, INTEGRAL functions, COMPLEX variables, HOLOMORPHIC functions

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

File Description: application/xml

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

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

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

Transport equations via smooth kernels

Authors: Cantero Guardeño, Juan Carlos

Thesis Advisors: Orobitg i Huguet, Joan

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Equació del transport, Ecuación del transporte, Transport equation, Equacions en derivades parcials, Ecuaciones en derivadas parciales, Partial derivative equations, Mecànica de fluids, Mecánica de fluidos, Fluid mechanics, Ciències Experimentals

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/673726

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

Simplicity of the Bergman, Szego and Poisson kernel functions: Simplicity of the Bergman, Szegö and Poisson kernel functions

Authors: Steven R. Bell

Source: Mathematical Research Letters. 2:267-277

Subject Terms: rational biholomorphic mapping, Bergman, Szegö and Poisson kernels, 0103 physical sciences, Integral representations, canonical kernels (Szegő, Bergman, etc.), Kernel functions in one complex variable and applications, 0101 mathematics, 01 natural sciences, simplicity of kernel functions

File Description: application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1995/0002/0003/MRL-1995-0002-0003-a004.pdf
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/1995/0002/0003/MRL-1995-0002-0003-a004.pdf
https://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0002/0003/a004/index.html

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

File Description: application/xml

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

Some properties of polynomials orthogonal in a space with ?intermediate? topology. Kernel function and extremal properties: Some properties of polynomials orthogonal in a space with ``intermediate'' topology. Kernel function and extremal properties

Authors: A. A. Dovgoshei

Source: Ukrainian Mathematical Journal. 45:1012-1022

Subject Terms: extremal problems, polynomial, Polynomials and rational functions of one complex variable, kernel function, Kernel functions in one complex variable and applications, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007%2FBF01057448
https://link.springer.com/content/pdf/10.1007/BF01057448.pdf

A Laguerre series methodology for the inversion of Laplace transforms.

Authors: Schröder, Michael¹ (AUTHOR) maths.mhgsch@gmail.com

Source: Integral Transforms & Special Functions. Oct2025, Vol. 36 Issue 10, p846-882. 37p.

Subject Terms: *COMPLEX variables, *APPROXIMATION error, *FUNCTIONALS, *THRUST, *DEFINITIONS

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

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

Regularization of One Class of Difference Equations: Regularization of one class of difference equations

Authors: F. N. Garif'yanov

Source: Siberian Mathematical Journal. 42:846-850

Subject Terms: integral equation, fundamental system of solutions, holomorphic solution, Kernel functions in one complex variable and applications, solvability conditions, Integral equations with kernels of Cauchy type, 0101 mathematics, integral representation, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences, Additive difference equations, linear difference equation, regularization procedure

File Description: application/xml

Access URL: https://zbmath.org/1746515
https://link.springer.com/article/10.1023/A%3A1011903324590
https://eudml.org/doc/49376

Facilitating the application of Support Vector Regression by using a universal Pearson VII function based kernel

Authors: Üstün, B. Melssen, W.J. Buydens, L.M.C.

Source: Chemometrics & Intelligent Laboratory Systems. Mar2006, Vol. 81 Issue 1, p29-40. 12p.

Subject Terms: *COMPLEX variables, *KERNEL functions, *REGRESSION analysis, *MATHEMATICAL functions

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

File Description: application/xml

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

Environmental drivers of rabies in the Volga region of Russia: application of the maxent model.

Authors: Zakharova, Olga I. Korennoy, Fedor I. Liskova, Elena A. et al.

Source: Frontiers in Veterinary Science. 2025, p1-13. 13p.

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

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

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

Application of semigroups to biharmonic Green functions

Authors: Stefan Jakobsson

Source: Journal für die reine und angewandte Mathematik (Crelles Journal). 2003

Subject Terms: harmonic Bergman kernel, One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, 0103 physical sciences, Kernel functions in one complex variable and applications, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, weighted biharmonic operator, 0101 mathematics, biharmonic Green function, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2005575
https://doi.org/10.1515/crll.2003.084
https://www.degruyter.com/view/j/crll.2003.2003.issue-563/crll.2003.084/crll.2003.084.pdf