Výsledky vyhledávání - "Global boundary behavior of holomorphic functions of several complex variables"

Reflection principle and boundary properties of holomorphic mappings

Autoři: Bernard Coupet Alexandre Sukhov

Zdroj: Journal of Mathematical Sciences. 125:825-930

Témata: Lewy-Pinchuk reflection principle, geometry of analytic CR structures, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Global boundary behavior of holomorphic functions of several complex variables, Segre family, Boundary behavior of holomorphic functions of several complex variables, Other notions of convexity in relation to several complex variables, Webster theorem, extension of a biholomorphism, algebraic reflection principle, 01 natural sciences, Fefferman's mapping theorem, Real submanifolds in complex manifolds, geometric reflection principle, topological rigidity of CR mappings, 0101 mathematics, Holomorphically convex complex spaces, reduction theory, deformations of smooth CR structures

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s10958-005-0072-8.pdf
https://link.springer.com/article/10.1007/s10958-005-0072-8
https://rd.springer.com/content/pdf/10.1007%2FPL00021946.pdf

Bounded holomorphic functions and maps with some boundary behavior

Autoři: Toshio Matsushima

Zdroj: Journal of Mathematical Analysis and Applications. 285:691-707

Témata: linear cluster set of positive measure, Global boundary behavior of holomorphic functions of several complex variables, Applied Mathematics, bounded holomorphic function, 0103 physical sciences, Boundary behavior of holomorphic functions of several complex variables, bounded holomorphic map with wild boundary behavior, 0101 mathematics, 01 natural sciences, theorems of Fatou type, Analysis, boundary behavior of holomorphic mapping

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1992576
https://doi.org/10.1016/s0022-247x(03)00471-2
https://www.sciencedirect.com/science/article/pii/S0022247X03004712

Condition R and Fefferman′s mapping theorem: Condition \(R\) and Fefferman's mapping theorem

Autoři: Patrick W. Darko

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 12, Pp 749-752 (2002)

Témata: strictly pseudoconvex manifold, Stein manifold, Global boundary behavior of holomorphic functions of several complex variables, biholomorphic map, QA1-939, Stein spaces, Strongly pseudoconvex domains, 0101 mathematics, Boundary regularity of mappings in several complex variables, 01 natural sciences, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2002/374790.pdf
https://doaj.org/article/e99feebfe0944115a329190074c83f06
https://www.emis.de/journals/HOA/IJMMS/29/12749.pdf
https://www.hindawi.com/journals/ijmms/2002/374790/
https://downloads.hindawi.com/journals/ijmms/2002/374790.pdf

One Boundary Version of Morera's Theorem: On a boundary version of Morera's theorem

Autoři: S. G. Myslivets

Zdroj: Siberian Mathematical Journal. 42:952-960

Témata: Global boundary behavior of holomorphic functions of several complex variables, boundary Morera theorem, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 0102 computer and information sciences, 0101 mathematics, several complex variables, 01 natural sciences, holomorphic continuation, boundary values of a holomorphic function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1882364
https://link.springer.com/content/pdf/10.1023/A:1011923929133.pdf
https://eudml.org/doc/50122
https://link.springer.com/article/10.1023%2FA%3A1011923929133

one boundary version of morera s theorem: On a boundary version of Morera's theorem

Autoři: S. G. Myslivets

Zdroj: Siberian Mathematical Journal. 42(5):952-960

Témata: Global boundary behavior of holomorphic functions of several complex variables, boundary Morera theorem, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, several complex variables, holomorphic continuation, boundary values of a holomorphic function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1882364
https://link.springer.com/content/pdf/10.1023/A:1011923929133.pdf
https://eudml.org/doc/50122
https://link.springer.com/article/10.1023%2FA%3A1011923929133

Holomorphic functions which are highly nonintegrable at the boundary

Autoři: Josip Globevnik

Zdroj: Israel Journal of Mathematics. 115:195-203

Témata: convex domain, Global boundary behavior of holomorphic functions of several complex variables, 0101 mathematics, holomorhpic function, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1436104
https://doi.org/10.1007/bf02810586
https://link.springer.com/article/10.1007/BF02810586
https://link.springer.com/content/pdf/10.1007/BF02810586.pdf

Peak sets in real-analytic convex boundaries

Autoři: Rachid Belhachemi

Zdroj: Pacific Journal of Mathematics. 185:209-220

Témata: Global boundary behavior of holomorphic functions of several complex variables, holomorphic function, 0101 mathematics, 01 natural sciences, peak set

Popis souboru: application/xml

Přístupová URL adresa: http://msp.org/pjm/1998/185-2/pjm-v185-n2-p02-s.pdf
https://zbmath.org/1344268
https://doi.org/10.2140/pjm.1998.185.209
https://msp.org/pjm/1998/185-2/p02.xhtml
https://msp.org/pjm/1998/185-2/pjm-v185-n2-p02-p.pdf

The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete $ \operatorname{SL}_2(\mathbb R)$-spectra: The restrictions of functions holomorphic in a domain to curves lying on its boundary, and discrete \(SL_2(\mathbb{R})\)-spectra

Autoři: Yu A Neretin

Zdroj: Izvestiya: Mathematics. 62:493-513

Témata: polynomial growth, Holomorphic functions of several complex variables, Global boundary behavior of holomorphic functions of several complex variables, holomorphic function, Boundary behavior of holomorphic functions of several complex variables, restriction, 0101 mathematics, 01 natural sciences, Operations with distributions and generalized functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1252647
https://doi.org/10.1070/im1998v062n03abeh000202
http://ui.adsabs.harvard.edu/abs/1998IzMat..62..493N/abstract

The holomorphic extension of $C^k$ CR functions on tube submanifolds: The holomorphic extension of \(H^p\)-CR functions on tube submanifolds

Autoři: Albert Boggess

Zdroj: Annales Polonici Mathematici. 70:35-42

Témata: Global boundary behavior of holomorphic functions of several complex variables, 4. Education, Extension of functions and other analytic objects from CR manifolds, tube manifold, uniqueness, Bochner's tube theorem, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, CR functions, \(H^p\)-CR function, 01 natural sciences, tube manifolds, analytic disc, CR function, holomorphic extension, Real submanifolds in complex manifolds, CR manifolds, 0101 mathematics, approximation, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/110266?download.pdf
https://www.ams.org/proc/1999-127-05/S0002-9939-99-04828-5/S0002-9939-99-04828-5.pdf
https://zbmath.org/1267718
https://doi.org/10.1090/s0002-9939-99-04828-5
https://zbmath.org/1292053
https://doi.org/10.4064/ap-70-1-35-42
https://asu.pure.elsevier.com/en/publications/the-holomorphic-extension-of-hsuppsup-cr-functions-on-tube-subman
https://www.ams.org/proc/1999-127-05/S0002-9939-99-04828-5/S0002-9939-99-04828-5.pdf
https://www.ams.org/journals/proc/1999-127-05/S0002-9939-99-04828-5/home.html
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv70z1p35bwm

Localization principle of automorphisms on generalized pseudoellipsoids

Autoři: Gilberto Dini A. Selvaggi Primicerio

Zdroj: Journal of Geometric Analysis. 7:575-584

Témata: Proper holomorphic mappings, finiteness theorems, analytic continuation, proper mappings and correspondences, Global boundary behavior of holomorphic functions of several complex variables, Reinhardt domains, Continuation of analytic objects in several complex variables, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1326038
https://doi.org/10.1007/bf02921633
https://link.springer.com/article/10.1007/BF02921633

CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS: Convex domains with noncompact automorphism groups

Autoři: S I Pinchuk E Bedford

Zdroj: Russian Academy of Sciences. Sbornik Mathematics. 82:1-20

Témata: Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Global boundary behavior of holomorphic functions of several complex variables, convex domains in euclidean space, noncompact holomorphic automorphism groups, 0101 mathematics, Complex Lie groups, group actions on complex spaces, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/1995SbMat..82....1B/abstract

Some remarks concerning holomorphically convex hulls and envelopes of holomorphy

Autoři: Burglind Jöricke

Zdroj: Mathematische Zeitschrift. 218:143-157

Témata: 510.mathematics, CR structures, CR operators, and generalizations, Stein neighbourhood basis, Global boundary behavior of holomorphic functions of several complex variables, holomorphically convex hulls, envelope of holomorphy, Removable singularities in several complex variables, polynomial convexity, 0101 mathematics, Envelopes of holomorphy, 01 natural sciences, Article, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/737166
https://doi.org/10.1007/bf02571894
https://link.springer.com/content/pdf/10.1007/BF02571894.pdf
https://link.springer.com/article/10.1007/BF02571894
https://eudml.org/doc/174719

Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type: Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.

Autoři: Herbort, Gregor

Zdroj: Mathematische Zeitschrift. 209:223-243

Témata: pseudo-convex domains of homogeneous finite diagonal type, Global boundary behavior of holomorphic functions of several complex variables, Carathéodory-Reiffen metric, Pseudoconvex domains, Carathéodory and Kobayashi pseudodifferential metrics, real-valued plurisubharmonic function, Kobayashi-Royden metric, 01 natural sciences, Article, 510.mathematics, Pluriharmonic and plurisubharmonic functions, peak point, invariant metrics, 0101 mathematics, peak functions, Invariant metrics and pseudodistances in several complex variables, Algebras of holomorphic functions of several complex variables

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02570831
https://link.springer.com/content/pdf/10.1007/BF02570831.pdf

Tangential boundary limits and exceptional sets for holomorphic functions in Dirichlet-type spaces

Autoři: Sueiro, Juan

Zdroj: Mathematische Annalen. 286:661-678

Témata: Dirichlet forms, 510.mathematics, fractional Cauchy integrals, Global boundary behavior of holomorphic functions of several complex variables, Picard-type theorems and generalizations for several complex variables, existence of tangential boundary limits, Boundary behavior of holomorphic functions of several complex variables, exceptional sets, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Article, approach regions

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Přístupová URL adresa: https://link.springer.com/article/10.1007/BF01453595

A reflection principle for proper holomorphic mappings and geometric invariants

Autoři: Faran, James J., V

Zdroj: Mathematische Zeitschrift. 203:363-377

Témata: Proper holomorphic mappings, finiteness theorems, 510.mathematics, boundary regularity, proper holomorphic mappings, Holomorphic mappings and correspondences, Global boundary behavior of holomorphic functions of several complex variables, strictly pseudoconvex domains, 0103 physical sciences, Pseudoconvex domains, reflection principle, 0101 mathematics, 01 natural sciences, Article

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://link.springer.com/article/10.1007%2FBF02570744

Boundary values and mapping degree

Autoři: Stout, Edgar Lee

Zdroj: Michigan Math. J. 47, iss. 2 (2000), 353-368

Témata: 32A40, holomorphic functions of several variables, Global boundary behavior of holomorphic functions of several complex variables, boundary value, Boundary behavior of holomorphic functions of several complex variables, Continuation of analytic objects in several complex variables, 32E35, 0101 mathematics, 01 natural sciences, degree of mapping

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/1700845
https://doi.org/10.1307/mmj/1030132539
https://projecteuclid.org/journals/michigan-mathematical-journal/volume-47/issue-2/Boundary-values-and-mapping-degree/10.1307/mmj/1030132539.full
https://projecteuclid.org/download/pdf_1/euclid.mmj/1030132539
http://projecteuclid.org/euclid.mmj/1030132539

Degeneration of quasicircles: inner and outer radii of Teichmüller spaces: Degeneration of quasicircles: Inner and outer radii of Teichmüller spaces

Autoři: Velling, John A.

Zdroj: Annales Fennici Mathematici; Vol. 18 No. 1 (1993): Volume 18, 1993; 147-154
Annales Fennici Mathematici; Vol 18 Nro 1 (1993): Volume 18, 1993; 147-154

Témata: Schwarzian derivative, Extremal problems for conformal and quasiconformal mappings, other methods, Teichmüller space, Global boundary behavior of holomorphic functions of several complex variables, Bers embedding, Teichmüller theory for Riemann surfaces, hyperbolic geometry

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: https://afm.journal.fi/article/view/134777
https://zbmath.org/469034

Holomorphic mappings of domains with generic corners

Autoři: S. M. Webster

Zdroj: Proceedings of the American Mathematical Society. 86:236-240

Témata: Holomorphic mappings and correspondences, Global boundary behavior of holomorphic functions of several complex variables, generic corner, 4. Education, Continuation of analytic objects in several complex variables, reflection principle, 0101 mathematics, 01 natural sciences, holomorphic continuation

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/1982-086-02/S0002-9939-1982-0667281-X/S0002-9939-1982-0667281-X.pdf
https://www.ams.org/proc/1982-086-02/S0002-9939-1982-0667281-X/S0002-9939-1982-0667281-X.pdf
https://www.ams.org/journals/proc/1982-086-02/S0002-9939-1982-0667281-X/home.html

Peak sets in weakly pseudoconvex domains

Autoři: Iordan, Andrei

Zdroj: Mathematische Zeitschrift. 188:171-188

Témata: 510.mathematics, locally a peak set, Global boundary behavior of holomorphic functions of several complex variables, Real submanifolds in complex manifolds, Pseudoconvex domains, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, 0101 mathematics, q-pseudoconvexity, CR-manifold, 01 natural sciences, Article, Algebras of holomorphic functions of several complex variables

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/3847752
https://doi.org/10.1007/bf01304206
https://link.springer.com/article/10.1007/BF01304206

Asymptotic properties of normal and nonnormal holomorphic mappings

Autoři: Hahn, Kyong T.

Zdroj: Bull. Amer. Math. Soc. (N.S.) 11, no. 1 (1984), 151-154

Témata: 32A40, Holomorphic mappings and correspondences, Global boundary behavior of holomorphic functions of several complex variables, regular sequences, normal functions, Boundary behavior of holomorphic functions of several complex variables, Blaschke products, etc, 30D45, P-point sequences, boundary behavior, 01 natural sciences, Hyperbolic and Kobayashi hyperbolic manifolds, Special families of functions of several complex variables, 32H25, Bloch functions, Other generalizations of function theory of one complex variable, 0101 mathematics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.ams.org/bull/1984-11-01/S0273-0979-1984-15245-5/S0273-0979-1984-15245-5.pdf
https://zbmath.org/3867710
https://doi.org/10.1090/s0273-0979-1984-15245-5
https://www.ams.org/journals/bull/1984-11-01/S0273-0979-1984-15245-5/home.html
https://www.ams.org/bull/1984-11-01/S0273-0979-1984-15245-5/S0273-0979-1984-15245-5.pdf
https://projecteuclid.org/download/pdf_1/euclid.bams/1183551838
https://projecteuclid.org/euclid.bams/1183551838
http://projecteuclid.org/euclid.bams/1183551838