Search Results - "Other generalizations of function theory of one complex variable"

Errata to: The algebra of slice functions

Authors: Ghiloni, Riccardo Perotti, Alessandro Stoppato, Caterina

Source: Transactions of the American Mathematical Society.

Subject Terms: 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, 0101 mathematics, 01 natural sciences

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Access URL: https://hdl.handle.net/2158/1246758
https://doi.org/10.1090/tran/8574

The algebra of slice functions

Authors: Ghiloni R. Perotti A. Stoppato C.

Source: Transactions of the American Mathematical Society. 369:4725-4762

Subject Terms: Primary 30G35, Secondary 17D05, 32A30, 30C15, Mathematics - Complex Variables, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Rings and Algebras, 30G35 Functions of hypercomplex variables and generalized variables, 17D05 Alternative rings, 32A30 Other generalizations of function theory of one complex variable, 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, 6. Clean water

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Access URL: http://arxiv.org/abs/1506.03749
https://ui.adsabs.harvard.edu/abs/2015arXiv150603749G/abstract
https://arxiv.org/abs/1506.03749
https://arxiv.org/pdf/1506.03749.pdf
https://flore.unifi.it/handle/2158/1038167
https://www.ams.org/journals/tran/2017-369-07/S0002-9947-2016-06816-6/

On the Rogosinski radius for holomorphic mappings and some of its applications

Authors: Lev Aizenberg Mark Elin David Shoikhet

Source: Studia Mathematica. 168:147-158

Subject Terms: Cauchy problem, generalized complete Reinhardt domain, complex Banach spaces, holomorphic generators, Boundary behavior of holomorphic functions of several complex variables, 01 natural sciences, holomorphic mappings, Taylor series, Other generalizations of function theory of one complex variable, Rogosinski radius, 0101 mathematics, power series extension, Power series, series of functions of several complex variables, Bohr radius

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Access URL: https://www.impan.pl/shop/publication/transaction/download/product/90636?download.pdf
https://zbmath.org/2159563
https://doi.org/10.4064/sm168-2-5
https://eudml.org/doc/284898
https://www.impan.pl/en/publishing-house/journals-and-series/studia-mathematica/all/168/2/90636/on-the-rogosinski-radius-for-holomorphic-mappings-and-some-of-its-applications
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-sm168-2-5

The decomposition theorem for the family of complete quasi-convex mappings

Authors: Sheng Gong Taishun Liu

Source: Journal of Mathematical Analysis and Applications. 299:448-464

Subject Terms: Complete quasi-convex mapping of type (n1,n2,…,nk), quasi-convex mapping, Applied Mathematics, Quasi-convex mapping, Bounded convex circular domain, bounded convex circular domain, complete quasi-convex mapping of type \((n_1, 01 natural sciences, Complete quasi-convex mapping, Decomposition theorem, Special families of functions of several complex variables, \dots, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), complete quasi-convex mapping, decomposition theorem, Other generalizations of function theory of one complex variable, 0101 mathematics, n_2, n_k)\), Analysis

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Access URL: https://zbmath.org/2126900
https://doi.org/10.1016/j.jmaa.2004.03.075
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04002549
https://core.ac.uk/display/82411723
https://www.sciencedirect.com/science/article/pii/S0022247X04002549

On the Bohr Radius for Two Classes of Holomorphic Functions: On the Bohr radius for two classes of holomorphic functions

Authors: Aizenberg, L. Vidras, Alekos Vidras, Alekos [0000-0001-9917-8367]

Contributors: Aizenberg, L. Vidras, Alekos Vidras, Alekos [0000-0001-9917-8367]

Source: Siberian Mathematical Journal
Sib.Math.J.

Subject Terms: hypercone, Other generalizations of function theory of one complex variable, 0101 mathematics, Bohr's power series theorem, 01 natural sciences, Power series (including lacunary series) in one complex variable, Bohr radius, Power series, series of functions of several complex variables, prime number

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Access URL: https://zbmath.org/2112610
https://link.springer.com/10.1023/B:SIMJ.0000035827.35563.b6
https://link.springer.com/article/10.1023%2FB%3ASIMJ.0000035827.35563.b6
http://gnosis.library.ucy.ac.cy/handle/7/56358

Estimates for the first and second Bohr radii of Reinhardt domains

Authors: Manuel Maestre Domingo García Andreas Defant

Source: Journal of Approximation Theory. 128:53-68

Subject Terms: Mathematics(all), Numerical Analysis, Unconditional basis, polynomials, Applied Mathematics, Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube), Power series, Polynomials, several complex variables, 01 natural sciences, unconditional basis, Banach spaces, Bohr radii, Functions of hypercomplex variables and generalized variables, Several complex variables, Other generalizations of function theory of one complex variable, 0101 mathematics, power series, bounded complete Reinhardt domain, Analysis

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Access URL: https://zbmath.org/2085986
https://doi.org/10.1016/j.jat.2004.04.002
https://dialnet.unirioja.es/servlet/articulo?codigo=887668
https://core.ac.uk/display/82380699
https://dblp.uni-trier.de/db/journals/jat/jat128.html#DefantGM04
https://www.sciencedirect.com/science/article/pii/S002190450400053X
http://www.sciencedirect.com/science/article/pii/S002190450400053X

The generalized Roper–Suffridge extension operator: The generalized Roper-Suffridge extension operator

Authors: Sheng Gong Taishun Liu

Source: Journal of Mathematical Analysis and Applications. 284:425-434

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), ε starlikeness, Roper–Suffridge extension operator, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Applied Mathematics, Carathéodory metric, \(\varepsilon\)-starlike mappings, normalized biholomorphic function, Other generalizations of function theory of one complex variable, 0101 mathematics, 01 natural sciences, Analysis

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Access URL: https://zbmath.org/1976001
https://doi.org/10.1016/s0022-247x(02)00400-6
http://www.sciencedirect.com/science/article/pii/S0022247X02004006
https://www.sciencedirect.com/science/article/pii/S0022247X02004006

On the order and type of basic and composite sets of polynomials in complete Reinhardt domains

Authors: A. El-Sayed Ahmed Z. M. G. Kishka

Source: Periodica Mathematica Hungarica. 46:67-79

Subject Terms: Special families of functions of several complex variables, polynomials, Entire functions of several complex variables, Reinhardt domains, Other generalizations of function theory of one complex variable, order and type, 0101 mathematics, several complex variables, 01 natural sciences, Power series, series of functions of several complex variables, entire functions

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Access URL: https://zbmath.org/2016841
https://doi.org/10.1023/a:1025705824816
https://link.springer.com/article/10.1023/A:1025705824816
https://dblp.uni-trier.de/db/journals/pmh/pmh46.html#KishkaA03
https://doi.org/10.1023/A%3A1025705824816
https://link.springer.com/10.1023/A:1025705824816

on the order and type of basic and composite sets of polynomials in complete reinhardt domains: On the order and type of basic and composite sets of polynomials in complete Reinhardt domains

Authors: A. El-Sayed Ahmed Z. M. G. Kishka

Source: Periodica Mathematica Hungarica. 46(1):67-79

Subject Terms: Special families of functions of several complex variables, polynomials, Entire functions of several complex variables, Reinhardt domains, Other generalizations of function theory of one complex variable, order and type, several complex variables, Power series, series of functions of several complex variables, entire functions

File Description: application/xml

Access URL: https://zbmath.org/2016841
https://doi.org/10.1023/a:1025705824816
https://link.springer.com/article/10.1023/A:1025705824816
https://dblp.uni-trier.de/db/journals/pmh/pmh46.html#KishkaA03
https://doi.org/10.1023/A%3A1025705824816
https://link.springer.com/10.1023/A:1025705824816

Holomorphic extension of smooth CR-mappings between real-analytic and real-algebraic CR-manifolds

Authors: Meylan, Francine Mir, Nordine Zaitsev, Dmitri et al.

Contributors: Meylan, Francine Mir, Nordine Zaitsev, Dmitri et al.

Source: Asian Journal of Mathematics

Subject Terms: Reflection principle, CR-map, Mathematics - Complex Variables, 32V25, Extension of functions and other analytic objects from CR manifolds, Schwarz reflection principle, 32H40, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], real-algebraic generic submanifold, 2000 AMS : 32C16, 01 natural sciences, CR-mappings, Mathematics - Analysis of PDEs, holomorphic extension, 32H02, Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations, subordination, real-analytic generic submanifold, real-algebraic CR-manifolds, FOS: Mathematics, 32V20, Other generalizations of function theory of one complex variable, Complex Variables (math.CV), 0101 mathematics, Analysis of PDEs (math.AP)

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Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2003/0007/0004/AJM-2003-0007-0004-a003.pdf
http://arxiv.org/abs/math/0201267
https://zbmath.org/2113424
https://doi.org/10.4310/ajm.2003.v7.n4.a3
https://ui.adsabs.harvard.edu/abs/2002math......1267M/abstract
http://intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0007/0004/a003/index.html
http://www.tara.tcd.ie/handle/2262/31980
https://www.intlpress.com/site/pub/files/_fulltext/journals/ajm/2003/0007/0004/AJM-2003-0007-0004-a003.pdf

A boundary Nevanlinna–Pick problem for a class of analytic matrix-valued functions in the unit ball: A boundary Nevanlinna-Pick problem for a class of analytic matrix-valued functions in the unit ball

Authors: Vladimir Bolotnikov

Source: Linear Algebra and its Applications. 346:239-260

Subject Terms: Numerical Analysis, Algebra and Number Theory, linear fractional parameterization, Linear fractional parametrization, 02 engineering and technology, Nevanlinna-Pick, Moment problems and interpolation problems in the complex plane, boundary interpolation, 01 natural sciences, Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Schur functions, Boundary interpolation, 0202 electrical engineering, electronic engineering, information engineering, Discrete Mathematics and Combinatorics, Other generalizations of function theory of one complex variable, Geometry and Topology, 0101 mathematics

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379501005171
http://www.math.wm.edu/~vladi/bbound.pdf
https://www.sciencedirect.com/science/article/pii/S0024379501005171

Boundedness of the Bergman type operators on mixed norm spaces

Authors: Yongmin Liu

Source: Proceedings of the American Mathematical Society. 130:2363-2367

Subject Terms: Gleason's problem, Banach spaces of continuous, differentiable or analytic functions, Hölder inequality, Linear operators on function spaces (general), normal function, Other generalizations of function theory of one complex variable, boundedness, 0101 mathematics, Bergman type operator, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences

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Access URL: https://www.ams.org/proc/2002-130-08/S0002-9939-02-06332-3/S0002-9939-02-06332-3.pdf
https://www.ams.org/proc/2002-130-08/S0002-9939-02-06332-3/S0002-9939-02-06332-3.pdf
https://www.ams.org/journals/proc/2002-130-08/S0002-9939-02-06332-3/home.html
https://www.jstor.org/stable/2699473
https://dialnet.unirioja.es/servlet/articulo?codigo=678790
https://documat.unirioja.es/servlet/articulo?codigo=678790

Strict positive definiteness on spheres via disk polynomials

Authors: Ana Paula Peron Valdir Antônio Menegatto

Source: International Journal of Mathematics and Mathematical Sciences, Vol 31, Iss 12, Pp 715-724 (2002)

Subject Terms: disk polynomials, Positive definite functions in one variable harmonic analysis, General harmonic expansions, frames, Approximation in the complex plane, 01 natural sciences, Approximation by polynomials, strict positive definiteness, zonal spherical harmonic analysis, QA1-939, Positive definite functions on groups, semigroups, etc, Other generalizations of function theory of one complex variable, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Mathematics

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Access URL: http://downloads.hindawi.com/journals/ijmms/2002/835852.pdf
https://zbmath.org/1821314
https://doi.org/10.1155/s0161171202108076
https://doaj.org/article/7ea62709369a45598f67ba33a3018a42
http://www.emis.de/journals/HOA/IJMMS/Volume31_12/835852.pdf
https://www.hindawi.com/journals/ijmms/2002/835852/
http://downloads.hindawi.com/journals/ijmms/2002/835852.pdf
https://www.maths.tcd.ie/EMIS/journals/HOA/IJMMS/Volume31_12/724.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/Volume31_12/724.pdf
https://downloads.hindawi.com/journals/ijmms/2002/835852.pdf

On an Angular Derivative Result of Fan: On an angular derivative result of Fan

Authors: Pauline Mellon Michael Mackey

Source: Mathematical Proceedings of the Royal Irish Academy. :115-126

Subject Terms: complex Banach space, angular derivatives, Other generalizations of analytic functions (including abstract-valued functions), bounded symmetric domain, Boundary behavior of holomorphic functions of several complex variables, Other generalizations of function theory of one complex variable, 0101 mathematics, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Julia-Wolff-Carathéodory result, 01 natural sciences, operator-valued holomorphic functions

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Access URL: https://www.jstor.org/stable/20459824

Linearly Invariant Families of Holomorphic Mappings of a Ball. The Dimension Reduction Method: Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method

Authors: V. V. Starkov P. Liczberski

Source: Siberian Mathematical Journal. 42:715-730

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Bloch function, distortion of a locally biholomorphic map, extension theorem, geometric properties of holomorphic mappings, Other generalizations of function theory of one complex variable, 0101 mathematics, theory of univalent functions, 01 natural sciences

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Access URL: https://zbmath.org/1882362
https://link.springer.com/article/10.1023/A%3A1010497431634

linearly invariant families of holomorphic mappings of a ball the dimension reduction method: Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method

Authors: V. V. Starkov P. Liczberski

Source: Siberian Mathematical Journal. 42(4):715-730

Subject Terms: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Bloch function, distortion of a locally biholomorphic map, extension theorem, geometric properties of holomorphic mappings, Other generalizations of function theory of one complex variable, theory of univalent functions

File Description: application/xml

Access URL: https://zbmath.org/1882362
https://link.springer.com/article/10.1023/A%3A1010497431634

Integration of polynomial ordinary differential equations in the real plane

Authors: A. E. Zernov B. A. Scárdua

Source: Aequationes Mathematicae. 61:190-200

Subject Terms: Liouvillian integration, Explicit solutions, first integrals of ordinary differential equations, complexification, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc, polynomial ordinary differential equations, Growth and boundedness of solutions to ordinary differential equations, Other generalizations of function theory of one complex variable, Bernoulli equations, 0101 mathematics, Pfaffian equation, 01 natural sciences, complex singularities

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Access URL: https://zbmath.org/1594778
https://doi.org/10.1007/s000100050170
https://dialnet.unirioja.es/servlet/articulo?codigo=2203180
https://link.springer.com/article/10.1007%2Fs000100050170

Some adaptive control problems which convert to a 'classical' problem in several complex variables: Some adaptive control problems which convert to a ``classical'' problem in several complex variables

Authors: J.W. Helton

Source: IEEE Transactions on Automatic Control. 46:2038-2043

Subject Terms: Adaptive control/observation systems, \(H^\infty\)-control, functions of several complex variables, Other generalizations of function theory of one complex variable, \(H^\infty\) problem, 0101 mathematics, Moment problems and interpolation problems in the complex plane, adaptive control, 01 natural sciences, interpolation

File Description: application/xml

Access URL: http://www.math.ucsd.edu/%7Ehelton/BILLSPAPERSscanned/H01.pdf
https://dblp.uni-trier.de/db/journals/tac/tac46.html#Helton01
https://ieeexplore.ieee.org/document/975517/
http://www.math.ucsd.edu/~helton/BILLSPAPERSscanned/H01.pdf

Bloch constants in several variables

Authors: Huaihui Chen Paul M. Gauthier

Source: Transactions of the American Mathematical Society. 353:1371-1386

Subject Terms: Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, lower bounds for Bloch constant, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Bloch radius, Wu \(K\)-mapping, Other generalizations of function theory of one complex variable, injective mapping, 0101 mathematics, univalent function, 01 natural sciences, bounded mapping, \(K\)-quasiregular mapping

File Description: application/xml

Access URL: https://www.ams.org/tran/2001-353-04/S0002-9947-00-02734-3/S0002-9947-00-02734-3.pdf
https://www.ams.org/tran/2001-353-04/S0002-9947-00-02734-3/S0002-9947-00-02734-3.pdf
https://www.ams.org/journals/tran/2001-353-04/S0002-9947-00-02734-3/home.html
https://www.jstor.org/stable/221860

Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity: Fixed points of commuting holomorphic maps without boundary regularity

Authors: Filippo Bracci

Source: Canadian Mathematical Bulletin. 43:294-303

Subject Terms: Holomorphic functions of several complex variables, Boundary behavior of holomorphic functions of several complex variables, Other generalizations of function theory of one complex variable, Cluster sets, prime ends, boundary behavior, 0101 mathematics, 16. Peace & justice, Boundary regularity of mappings in several complex variables, commuting holomorphic mappings, boundary point, 01 natural sciences, Hyperbolic and Kobayashi hyperbolic manifolds, Invariant metrics and pseudodistances in several complex variables, admissible limit

File Description: application/xml

Access URL: http://www.mat.uniroma2.it/~fbracci/download/canada.pdf
https://zbmath.org/1545728
https://doi.org/10.4153/cmb-2000-036-2
https://www.mat.uniroma2.it/~fbracci/download/canada.pdf
https://cms.math.ca/10.4153/CMB-2000-036-2
https://cms.math.ca/cmb/abstract/pdf/149171.pdf