Search Results - "Extension of functions and other analytic objects from CR manifolds"

On the local meromorphic extension of CR meromorphic mappings

Authors: Merker, Joel Porten, Egmont

Contributors: Merker, Joel Porten, Egmont

Source: Annales Polonici Mathematici. 70:163-193

Subject Terms: removable singularities, real analytic generic submanifolds of C^n, Mathematics - Complex Variables, Extension of functions and other analytic objects from CR manifolds, CR meromorphic functions, CR meromorphic mappings, deformations of analytic discs, 01 natural sciences, removable singularities for CR functions, indeterminacy set, 0103 physical sciences, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG], CR generic currents, scarred CR manifolds, currents

File Description: application/pdf; application/xml

Access URL: https://www.impan.pl/shop/publication/transaction/download/product/110259?download.pdf
http://arxiv.org/abs/math/9902038
https://hal.science/hal-00003374v1
https://zbmath.org/1292063
https://doi.org/10.4064/ap-70-1-163-193
http://matwbn.icm.edu.pl/ksiazki/apm/apm70/apm70113.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-apmv70z1p163bwm
http://ui.adsabs.harvard.edu/abs/1999math......2038M/abstract
https://eudml.org/doc/262638
http://www.math.u-psud.fr/~merker/Travaux/polonici.pdf
https://www.impan.pl/get/doi/10.4064/ap-70-1-163-193

Equivalence and embedding problems for CR-structures of any codimension

Authors: Dmitri Zaitsev Sung-Yeon Kim

Source: Topology

Subject Terms: Mathematics - Differential Geometry, Jet parametrization, Mathematics - Complex Variables, CR-structure, Extension of functions and other analytic objects from CR manifolds, Other special differential geometries, Nondegeneracy conditions, Equivalence problem, 01 natural sciences, Differential Geometry (math.DG), Complete systems, CR structure, FOS: Mathematics, Geometry and Topology, Complex Variables (math.CV), 0101 mathematics, Finite-type conditions on CR manifolds

File Description: application/xml

Access URL: http://arxiv.org/abs/math/0108093
https://zbmath.org/2158641
https://doi.org/10.1016/j.top.2004.11.004
https://www.maths.tcd.ie/~zaitsev/papers/kim-zaitsev-topology.pdf
http://www.tara.tcd.ie/bitstream/2262/69245/1/0108093.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1193426
https://www.sciencedirect.com/science/article/pii/S0040938304000862
http://www.tara.tcd.ie/handle/2262/69245
https://www.sciencedirect.com/science/article/abs/pii/S0040938304000862
https://arxiv.org/pdf/math/0108093.pdf
https://ui.adsabs.harvard.edu/abs/2001math......8093K/abstract
https://arxiv.org/abs/math/0108093

Holomorphic correspondences between CR manifolds

Authors: Rasul Shafikov C. Denson Hill

Source: Indiana University Mathematics Journal. 54:417-442

Subject Terms: Mathematics - Differential Geometry, holomorphic correspondence, Mathematics - Complex Variables, projective space, Extension of functions and other analytic objects from CR manifolds, 01 natural sciences, Mathematics - Algebraic Geometry, Differential Geometry (math.DG), FOS: Mathematics, 32V25, 32H99, CR manifolds, Complex Variables (math.CV), 0101 mathematics, Algebraic Geometry (math.AG)

File Description: application/xml

Access URL: http://arxiv.org/pdf/0710.3579
http://arxiv.org/abs/0710.3579
https://zbmath.org/2182475
https://doi.org/10.1512/iumj.2005.54.2504
https://dialnet.unirioja.es/servlet/articulo?codigo=1199706
https://documat.unirioja.es/servlet/articulo?codigo=1199706

Finite jet determination of CR embeddings

Authors: Peter Ebenfelt Bernhard Lamel

Source: The Journal of Geometric Analysis. 14:241-265

Subject Terms: 1010 Mathematics, Mathematics - Complex Variables, 1010 Mathematik, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Extension of functions and other analytic objects from CR manifolds, CR embeddings, 01 natural sciences, Embeddings of CR manifolds, 32H02, 0103 physical sciences, Jet determination, FOS: Mathematics, CR manifolds, Complex Variables (math.CV), 0101 mathematics, Boundary uniqueness of mappings in several complex variables, Finite-type conditions on CR manifolds

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0206287
http://arxiv.org/abs/math/0206287
https://zbmath.org/2147100
https://doi.org/10.1007/bf02922071
https://ucrisportal.univie.ac.at/de/publications/41ec83aa-7fe4-45aa-ad8d-855c776c5c36
https://ui.adsabs.harvard.edu/abs/2002math......6287E/abstract
https://link.springer.com/content/pdf/10.1007/BF02922071.pdf
https://link.springer.com/article/10.1007/BF02922071
https://www.arxiv-vanity.com/papers/math/0206287/

Levi-flat extensions from a part of the boundary: Levi-flat extensions from a part of the boundary.

Authors: Nikolay Shcherbina Giuseppe Tomassini

Source: Comptes Rendus. Mathématique. 337:699-703

Subject Terms: Levi-flat extension, Extension of functions and other analytic objects from CR manifolds, strictly pseudoconvex domain, Continuation of analytic objects in several complex variables, Strongly pseudoconvex domains, 0101 mathematics, 01 natural sciences, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables

File Description: application/xml

Access URL: https://zbmath.org/2034208
https://doi.org/10.1016/j.crma.2003.10.015
https://www.sciencedirect.com/science/article/abs/pii/S1631073X0300462X
https://www.sciencedirect.com/science/article/pii/S1631073X0300462X

Extension of CR-functions into weighted wedges through families of nonsmooth analytic discs

Authors: Zaitsev, Dmitri Zampieri, Giuseppe

Source: Transactions of the American Mathematical Society. 356:1443-1462

Subject Terms: nonsmooth analytic discs, Applied Mathematics, General Mathematics, 0103 physical sciences, Extension of functions and other analytic objects from CR manifolds, Continuation of analytic objects in several complex variables, 0101 mathematics, CR functions, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/tran/2004-356-04/S0002-9947-03-03356-7/S0002-9947-03-03356-7.pdf
https://www.ams.org/journals/tran/2004-356-04/S0002-9947-03-03356-7/home.html
https://www.ams.org/tran/2004-356-04/S0002-9947-03-03356-7/S0002-9947-03-03356-7.pdf
https://www.maths.tcd.ie/~zaitsev/papers/zz-trans.pdf
https://www.openaccessrepository.it/record/161636

Extension of CR-functions on wedges

Authors: Dmitri Zaitsev Giuseppe Zampieri

Source: Mathematische Annalen

Subject Terms: Pure & Applied Mathematics, complex angle, Mathematics - Complex Variables, General Mathematics, Extension of functions and other analytic objects from CR manifolds, Continuation of analytic objects in several complex variables, wedge with edge, CR functions, 01 natural sciences, holomorphic extension to a wedge, CR function, Levi form, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics

File Description: application/xml; 212636 bytes; application/pdf

Access URL: http://arxiv.org/pdf/math/0112304
http://arxiv.org/abs/math/0112304
http://www.tara.tcd.ie/handle/2262/31979
https://core.ac.uk/display/143930547
https://dialnet.unirioja.es/servlet/articulo?codigo=2806223
https://link.springer.com/10.1007/s00208-002-0403-8
https://link.springer.com/article/10.1007/s00208-002-0403-8
http://people.tcd.ie/zaitsevd
https://hdl.handle.net/2262/31979

Reflection about k-jets and holomorphic extension of CR mappings: Reflection about \(k\)-jets and holomorphic extension of CR mappings.

Authors: ZAMPIERI, GIUSEPPE

Source: Journal of Mathematical Analysis and Applications. 283:150-158

Subject Terms: Reflection principle, Applied Mathematics, 0103 physical sciences, Real submanifolds in complex manifolds, Extension of functions and other analytic objects from CR manifolds, CR mapping, Holomorphic mappings, \(k\)-nondegenerate, 0101 mathematics, 01 natural sciences, Analysis, Finite-type conditions on CR manifolds

File Description: application/xml

Access URL: https://zbmath.org/1970514
https://doi.org/10.1016/s0022-247x(03)00264-6
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03002646
https://www.sciencedirect.com/science/article/pii/S0022247X03002646
https://hdl.handle.net/11577/1375776

EXTENSION OF CR-FUNCTIONS DEFINED ON WEDGE-LIKE DOMAINS IN CR-MANIFOLDS: Extension of CR-functions defined on wedge-like domains in CR-manifolds

Authors: Giuseppe Zampieri Dmitri Zaitsev

Source: Journal of the Korean Mathematical Society

Subject Terms: General Mathematics, 0103 physical sciences, Extension of functions and other analytic objects from CR manifolds, holomorphic hulls, Continuation of analytic objects in several complex variables, analytic discs, 0101 mathematics, CR functions, 01 natural sciences

File Description: application/xml

Access URL: http://koreascience.or.kr:80/article/JAKO200311921888764.pdf
https://zbmath.org/2066127
https://doi.org/10.4134/jkms.2003.40.4.629
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2003_v40n4_629

On the CR-structure of compact group orbits associated with bounded symmetric domains

Authors: Dmitri Zaitsev Wilhelm Kaup

Source: Inventiones Mathematicae

Subject Terms: symmetric domain, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Jordan structures associated with other structures, General Mathematics, CR structure, 0103 physical sciences, Extension of functions and other analytic objects from CR manifolds, 0101 mathematics, CR functions, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), 01 natural sciences, Polynomial convexity, rational convexity, meromorphic convexity in several complex variables

File Description: application/xml

Access URL: https://zbmath.org/1965476
https://doi.org/10.1007/s00222-002-0278-z
https://www.maths.tcd.ie/~zaitsev/papers/kaup-zaitsev-inv.pdf
https://link.springer.com/article/10.1007/s00222-002-0278-z
https://rd.springer.com/article/10.1007/s00222-002-0278-z
http://www.math.uni-tuebingen.de/ab/KA/tang.pdf
https://ui.adsabs.harvard.edu/abs/2003InMat.153...45K/abstract

SYMMETRIES OF PARTIAL DIFFERENTIAL EQUATIONS: Symmetries of partial differential equations

Authors: Gaussier, Hervé Merker, Joel

Contributors: Gaussier, Hervé Merker, Joel

Source: Journal of the Korean Mathematical Society. 40:517-561

Subject Terms: completely integrable systems, Mathematics - Differential Geometry, Mathematics - Complex Variables, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Extension of functions and other analytic objects from CR manifolds, CR functions, 01 natural sciences, Primary: 32V40, 34C14. Secondary 32V25, 32H02, 32H40, 32V10, Real submanifolds in complex manifolds, generic CR submanifolds, 0101 mathematics, [MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG], Symmetries, invariants of ordinary differential equations, Boundary regularity of mappings in several complex variables

File Description: application/xml

Access URL: http://www.ndsl.kr/soc_img/society/kms/DBSHBB/2003/v40n3/DBSHBB_2003_v40n3_517.pdf
http://arxiv.org/abs/math/0404246
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2003_v40n3_517
https://ui.adsabs.harvard.edu/abs/2004math......4246G/abstract
https://hal.science/hal-00003404v1

Hartogs-Bochner type theorem in projective space

Authors: Sarkis, Frédéric

Source: Ark. Mat. 41, no. 1 (2003), 151-163

Subject Terms: Hartogs-Bochner type theorem, Mathematics - Complex Variables, Extension of functions and other analytic objects from CR manifolds, FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, CR functions, real hypersurfaces in the projective space, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/math/0011095
https://zbmath.org/2057381
https://doi.org/10.1007/bf02384573
https://link.springer.com/content/pdf/10.1007/BF02384573.pdf
https://projecteuclid.org/download/pdf_1/euclid.afm/1485898797
https://projecteuclid.org/journals/arkiv-for-matematik/volume-41/issue-1/Hartogs-Bochner-type-theorem-in-projective-space/10.1007/BF02384573.short
https://ui.adsabs.harvard.edu/abs/2003ArM....41..151S/abstract
https://link.springer.com/article/10.1007/BF02384573
http://projecteuclid.org/euclid.afm/1485898797

Totally real discs in non-pseudoconvex boundaries

Authors: Porten, Egmont

Source: Ark. Mat. 41, no. 1 (2003), 133-150

Subject Terms: removable singularities, Embeddings of CR manifolds, Extension of functions and other analytic objects from CR manifolds, pseudoconvexity, 0101 mathematics, CR functions, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://link.springer.com/article/10.1007/BF02384572
http://ui.adsabs.harvard.edu/abs/2003ArM....41..133P/abstract
http://projecteuclid.org/euclid.afm/1485898796
http://www.diva-portal.org/smash/record.jsf?pid=diva2:29385
https://projecteuclid.org/download/pdf_1/euclid.afm/1485898796
https://projecteuclid.org/euclid.afm/1485898796
http://projecteuclid.org/euclid.afm/1485898796

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

Analytic extension from non-pseudoconvex boundaries and $A(D)$-convexity: Analytic extension from non-pseudoconvex boundaries and \(A(D)\)-convexity.

Authors: Egmon Porten Christine Laurent-Thiébaut

Source: Annales de l’institut Fourier. 53:847-857

Subject Terms: removable singularities, analytic extension, Extension of functions and other analytic objects from CR manifolds, holomorphic hulls, Removable singularities in several complex variables, CR-convex, Continuation of analytic objects in several complex variables, 0101 mathematics, CR functions, Envelopes of holomorphy, 01 natural sciences, holomorphic convexity

File Description: application/xml

Access URL: http://www.numdam.org/item/10.5802/aif.1962.pdf
https://aif.centre-mersenne.org/item/AIF_2003__53_3_847_0/
https://eudml.org/doc/116055
http://www.diva-portal.org/smash/record.jsf?pid=diva2:29386
http://www.numdam.org/item/AIF_2003__53_3_847_0/

Norm preserving extensions of holomorphic functions from subvarieties of the bidisk

Authors: Jim Agler John E. McCarthy

Source: Annals of Mathematics. 157:289-312

Subject Terms: extremal problem on the bidisk, Analytic sheaves and cohomology groups, Mathematics - Complex Variables, \(A\)-extension property, contractive operator on a Hilbert space, Extension of functions and other analytic objects from CR manifolds, Kobayashi extremal problem, Nevanlinna-Pick interpolation on the bidisk, Stein domains, sheaf cohomology, Holomorphic, polynomial and rational approximation, and interpolation in several complex variables, Runge pairs, Carathéodory extremal problem, relatively polynomially convex set, 16. Peace & justice, 01 natural sciences, Neumann inequality, polynomial variety, balanced sets, FOS: Mathematics, spectral set, balanced pair, Complex Variables (math.CV), 0101 mathematics, polynomial extension property

File Description: application/xml

Access URL: http://annals.math.princeton.edu/wp-content/uploads/annals-v157-n1-p06.pdf
http://arxiv.org/abs/math/0402161
https://zbmath.org/1933159
https://doi.org/10.4007/annals.2003.157.289
https://www.jstor.org/stable/pdfplus/3597168.pdf
http://annals.math.princeton.edu/wp-content/uploads/annals-v157-n1-p06.pdf
https://annals.math.princeton.edu/2003/157-1/p06

Complex cobordism and embeddability of CR-manifolds

Authors: Bruno De Oliveira

Source: Mathematical Research Letters. 10:695-708

Subject Terms: Embeddings of CR manifolds, Mathematics - Complex Variables, Extension of functions and other analytic objects from CR manifolds, FOS: Mathematics, 32V30,32V25, CR manifolds cobordism, Complex Variables (math.CV), 0101 mathematics, 01 natural sciences, embeddable CR-manifolds

File Description: application/xml

Access URL: https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0005/MRL-2003-0010-0005-a012.pdf
http://arxiv.org/abs/math/0110226
https://zbmath.org/2064725
https://doi.org/10.4310/mrl.2003.v10.n5.a12
https://ui.adsabs.harvard.edu/abs/2001math.....10226D/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=788302
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0010/0005/a012/index.html
http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0005/MRL-2003-0010-0005-a012.pdf
https://miami.pure.elsevier.com/en/publications/complex-cobordism-and-embeddability-of-cr-manifolds

Analytic regularity of CR maps into spheres

Authors: Mir, Nordine Laboratoire de Mathématiques Raphaël Salem (LMRS) Université de Rouen Normandie (UNIROUEN) et al.

Contributors: Mir, Nordine Laboratoire de Mathématiques Raphaël Salem (LMRS) Université de Rouen Normandie (UNIROUEN) et al.

Source: Mathematical Research Letters. 10:447-457

Subject Terms: analytic regularity of CR mappings, Mathematics - Complex Variables, Extension of functions and other analytic objects from CR manifolds, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], CR map, Analysis on CR manifolds, 32H02, 32H04, 32V20, 01 natural sciences, 2000 AMS : 32H02, 32H04, Embeddings of CR manifolds, Holomorphic extension, Real submanifolds in complex manifolds, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, 32V20, sphere, Complex Variables (math.CV), 0101 mathematics, 32V40, 32V30

File Description: application/pdf; application/xml

Access URL: http://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0004/MRL-2003-0010-0004-a004.pdf
http://arxiv.org/abs/math/0310371
https://hal.science/hal-00261699v1
https://zbmath.org/2062122
https://doi.org/10.4310/mrl.2003.v10.n4.a4
https://dialnet.unirioja.es/servlet/articulo?codigo=671011
http://ui.adsabs.harvard.edu/abs/2003math.....10371M/abstract
https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2003/0010/0004/MRL-2003-0010-0004-a004.pdf
http://people.qatar.tamu.edu/nordine.mir/MRL03.pdf
https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0010/0004/a004/

On wedge extendability of CR-meromorphic functions

Authors: Joel Merker Egmont Porten

Source: Mathematische Zeitschrift. 241:485-512

Subject Terms: metrically thin singularities, \(L^1\)-removability, 0103 physical sciences, Extension of functions and other analytic objects from CR manifolds, Meromorphic functions of several complex variables, Removable singularities in several complex variables, CR-meromorphic function, 0101 mathematics, CR functions, wedge extendability, Envelopes of holomorphy, 01 natural sciences, Finite-type conditions on CR manifolds

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00209-002-0426-6
https://hal.archives-ouvertes.fr/hal-00003401
http://www.diva-portal.org/smash/record.jsf?pid=diva2:29389
http://ui.adsabs.harvard.edu/abs/2000math......6178M/abstract
https://hal.archives-ouvertes.fr/hal-00003401/document

Invariant Domains in the Complexification of a Noncompact Riemannian Symmetric Space: Invariant domains in the complexification of a noncompact Riemannian symmetric space

Authors: GEATTI, LAURA Geatti, L

Contributors: GEATTI, LAURA Geatti, L

Source: Journal of Algebra. 251:619-685

Subject Terms: CR manifolds as boundaries of domains, semisimple Lie group, Algebra and Number Theory, Settore MAT/03 - GEOMETRIA, Extension of functions and other analytic objects from CR manifolds, homogeneous CR-structure, 01 natural sciences, symmetric space, Semisimple Lie groups and their representations, Stein manifolds, Stein spaces, 0101 mathematics, Differential geometry of symmetric spaces

File Description: application/xml

Access URL: https://zbmath.org/1846017
https://doi.org/10.1006/jabr.2001.9150
https://core.ac.uk/display/53817173
https://art.torvergata.it/handle/2108/52185
https://www.sciencedirect.com/science/article/pii/S0021869301991501