Henkin, Gennadi 1942
Overview
Works:  19 works in 75 publications in 4 languages and 752 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction 
Classifications:  QA331, 515.94 
Publication Timeline
.
Most widely held works by
Gennadi Henkin
Theory of functions on complex manifolds by
Gennadi Henkin(
Book
)
21 editions published between 1983 and 2014 in English and Undetermined and held by 310 WorldCat member libraries worldwide
21 editions published between 1983 and 2014 in English and Undetermined and held by 310 WorldCat member libraries worldwide
AndreottiGrauert theory by integral formulas by
Gennadi Henkin(
Book
)
18 editions published in 1988 in English and held by 257 WorldCat member libraries worldwide
18 editions published in 1988 in English and held by 257 WorldCat member libraries worldwide
Several complex variables V : complex analysis in partial differential equations and mathematical physics by
G. M Khenkin(
Book
)
6 editions published in 1993 in English and held by 38 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains three contributions in the field of complex analysis. The topics treated are mean periodicity and convolutionequations, YangMills fields and the RadonPenrose transform, and stringtheory. The latter two have strong links with quantum field theory and the theory of general relativity. In fact, the mathematical results described inthe book arose from the need of physicists to find a sound mathematical basis for their theories. The authors present their material in the formof surveys which provide uptodate accounts of current research. The book will be immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theoryand general relativity
6 editions published in 1993 in English and held by 38 WorldCat member libraries worldwide
This volume of the Encyclopaedia contains three contributions in the field of complex analysis. The topics treated are mean periodicity and convolutionequations, YangMills fields and the RadonPenrose transform, and stringtheory. The latter two have strong links with quantum field theory and the theory of general relativity. In fact, the mathematical results described inthe book arose from the need of physicists to find a sound mathematical basis for their theories. The authors present their material in the formof surveys which provide uptodate accounts of current research. The book will be immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theoryand general relativity
Several complex variables and holomorphic partial differential equations fonctions de plusieurs variables complexes et équations
aux dérivées partielles holomorphes by
Jean Leray(
Book
)
2 editions published between 1997 and 1998 in French and English and held by 21 WorldCat member libraries worldwide
2 editions published between 1997 and 1998 in French and English and held by 21 WorldCat member libraries worldwide
Selected papers = Oeuvres scientifiques by
Peter D Lax(
Book
)
6 editions published in 1998 in French and English and held by 20 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
6 editions published in 1998 in French and English and held by 20 WorldCat member libraries worldwide
A renowned mathematician who considers himself both applied and theoretical in his approach, the author has spent most of his professional career at NYU, making significant contributions to both mathematics and computing. He has written several published works and has received numerous honors
Proof of Grauert's Oka principle without induction over the basis dimension by
Gennadi Henkin(
Book
)
5 editions published between 1985 and 1986 in English and German and held by 12 WorldCat member libraries worldwide
5 editions published between 1985 and 1986 in English and German and held by 12 WorldCat member libraries worldwide
Theory of functions on strictly pseudoconvex sets with nonsmooth boundary by
Gennadi Henkin(
Book
)
2 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 6 WorldCat member libraries worldwide
Complex analysis and geometry : international conference in honor of Pierre Lelong by
P Dolbeault(
Book
)
3 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians. Moreover, a list of eleven open problems is given. All other contributions contain new results related, for example, to the following items:  Capacities, product of positive currents, L2 extension theorems, Bergman kernels and metrics, new properties of convex domains of finite type  Noncompact boundaries of Leviflat hypersurfaces of C2, compact boundary problems as application of compactly supported measures orthogonal to polynomials, Hartogs' theorem on some open subsets of a projective manifold, Malgrange vanishing theorem with support conditions  Embeddings for 3dimensional CRmanifolds, geometrization of hypoellipticity, stationary complex curves and complete integrability  Regular polynomial mappings of Ck in complex dynamics, a direct proof of the density of repulsive cycles in the Julia set. The book is aimed at researchers and advanced graduate students in complex and real analysis, algebraic geometry and number theory
3 editions published in 2000 in English and held by 5 WorldCat member libraries worldwide
This collection of 18 research papers, dedicated to Pierre Lelong, describes the state of the art on representative problems of complex analysis and geometry. The book opens with an exposition of the achievements of Pierre Lelong on plurisubharmonic functions, closed positive currents, and their further study by other mathematicians. Moreover, a list of eleven open problems is given. All other contributions contain new results related, for example, to the following items:  Capacities, product of positive currents, L2 extension theorems, Bergman kernels and metrics, new properties of convex domains of finite type  Noncompact boundaries of Leviflat hypersurfaces of C2, compact boundary problems as application of compactly supported measures orthogonal to polynomials, Hartogs' theorem on some open subsets of a projective manifold, Malgrange vanishing theorem with support conditions  Embeddings for 3dimensional CRmanifolds, geometrization of hypoellipticity, stationary complex curves and complete integrability  Regular polynomial mappings of Ck in complex dynamics, a direct proof of the density of repulsive cycles in the Julia set. The book is aimed at researchers and advanced graduate students in complex and real analysis, algebraic geometry and number theory
Abelian differentials on singular varieties and variations on a theorem of Lie  Griffiths by
Gennadi Henkin(
Book
)
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 4 WorldCat member libraries worldwide
Approximation de compacts fonctionnels par des variétés analytiques et applications en problème inverse by
Amadeo Irigoyen(
Book
)
1 edition published in 2007 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 2007 in French and held by 3 WorldCat member libraries worldwide
Equations fonctionnelles abéliennes et géométrie des tissus by Luc Pirio(
Book
)
1 edition published in 2004 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 2004 in French and held by 3 WorldCat member libraries worldwide
ENVELOPPE POLYNOMIALE D'UN COMPACT DE LONGUEUR FINIE ET PROBLEME DU BORD by
TienCuong Dinh(
Book
)
1 edition published in 1997 in French and held by 3 WorldCat member libraries worldwide
NOUS INTRODUISONS LES CLASSES A#K DES ENSEMBLES FERMES (H#K, K)LOCALEMENT RECTIFIABLES QUI ADMETTENT UN ESPACE TANGENT KDIMENSIONNEL EN H#KPRESQUE TOUT POINT. SUIVANT DES IDEES DE WERMER ET HENKIN, NOUS DEMONTRONS QUE TOUTE MESURE ORTHOGONALE DE C#N A SUPPORT DANS UN COMPACT DE CLASSE A#1 SE PROLONGE EN UNE (1,0)FORME HOLOMORPHE DANS UN CERTAIN SOUSENSEMBLE ANALYTIQUE T DE DIMENSION PURE 1 DE C#N IS ET BORNE DANS C#N. NOUS EN DEDUISONS QUE CETTE MESURE SE DECOMPOSE EN SOMME FINIE DES MESURES ORTHOGONALES A PETITS SUPPORTS DANS T ET QUE L'ENVELOPPE POLYNOMIALE DE EST SA REUNION AVEC UN SOUSENSEMBLE ANALYTIQUE DE DIMENSION PURE 1 DE C#N IS (EVENTUELLEMENT VIDE). DE PLUS, T DEFINIT DANS C#N UN COURANT D'INTEGRATION DE MASSE FINIE ET A BORD RECTIFIABLE. LE PREMIER COROLLAIRE GENERALISE UN RESULTAT DE BISHOP ET GAMELIN. LE SECOND GENERALISE UN THEOREME DE WERMER, BISHOP, STOLZENBERG, ALEXANDER ET LAWRENCE. EN GENERALISANT LE THEOREME DE HARVEY ET LAWSON, NOUS DEMONTRONS QUE TOUT COURANT RECTIFIABLE FERME DE DIMENSION (2P1) MAXIMALEMENT COMPLEXE ET A SUPPORT COMPACT A#2#P##1 EST LE BORD D'UNE PCHAINE HOLOMORPHE DE MASSE FINIE AU SENS DES COURANTS POUR TOUT P 2. POUR P = 1, CE THEOREME EST ENCORE VALABLE SI L'ON SUPPOSE QUE VERIFIE LA CONDITION DU MOMENT. CE RESULTAT REPOND A UNE QUESTION DE KING. NOUS DEMONTRONS UN THEOREME DU TYPE DE HARTOGS ET LEVI POUR LE PROBLEME DU BORD DANS UN OUVERT QCONCAVE DE CP#N. NOUS EN DEDUISONS LE THEOREME DE HARTOGS ET LEVI GENERALISE, LE THEOREME DE GRUMAN, MOLZON, SHIFFMAN ET SIBONY GENERALISE ET LE THEOREME DE PROLONGEMENT DES FONCTIONS CR MEROMORPHES AU SENS DE HARVEY ET LAWSON. CE DERNIER RESULTAT EST DEMONTRE POUR LES FONCTIONS C#2 PAR DOLBEAULT, HENKIN ET EGALEMENT PAR PORTEN. LE CAS GENERAL EST DEMONTRE D'UNE AUTRE MANIERE PAR SARKIS EN UTILISANT NOTRE RESULTAT SUR L'ENVELOPPE POLYNOMIALE D'UN COMPACT A#1
1 edition published in 1997 in French and held by 3 WorldCat member libraries worldwide
NOUS INTRODUISONS LES CLASSES A#K DES ENSEMBLES FERMES (H#K, K)LOCALEMENT RECTIFIABLES QUI ADMETTENT UN ESPACE TANGENT KDIMENSIONNEL EN H#KPRESQUE TOUT POINT. SUIVANT DES IDEES DE WERMER ET HENKIN, NOUS DEMONTRONS QUE TOUTE MESURE ORTHOGONALE DE C#N A SUPPORT DANS UN COMPACT DE CLASSE A#1 SE PROLONGE EN UNE (1,0)FORME HOLOMORPHE DANS UN CERTAIN SOUSENSEMBLE ANALYTIQUE T DE DIMENSION PURE 1 DE C#N IS ET BORNE DANS C#N. NOUS EN DEDUISONS QUE CETTE MESURE SE DECOMPOSE EN SOMME FINIE DES MESURES ORTHOGONALES A PETITS SUPPORTS DANS T ET QUE L'ENVELOPPE POLYNOMIALE DE EST SA REUNION AVEC UN SOUSENSEMBLE ANALYTIQUE DE DIMENSION PURE 1 DE C#N IS (EVENTUELLEMENT VIDE). DE PLUS, T DEFINIT DANS C#N UN COURANT D'INTEGRATION DE MASSE FINIE ET A BORD RECTIFIABLE. LE PREMIER COROLLAIRE GENERALISE UN RESULTAT DE BISHOP ET GAMELIN. LE SECOND GENERALISE UN THEOREME DE WERMER, BISHOP, STOLZENBERG, ALEXANDER ET LAWRENCE. EN GENERALISANT LE THEOREME DE HARVEY ET LAWSON, NOUS DEMONTRONS QUE TOUT COURANT RECTIFIABLE FERME DE DIMENSION (2P1) MAXIMALEMENT COMPLEXE ET A SUPPORT COMPACT A#2#P##1 EST LE BORD D'UNE PCHAINE HOLOMORPHE DE MASSE FINIE AU SENS DES COURANTS POUR TOUT P 2. POUR P = 1, CE THEOREME EST ENCORE VALABLE SI L'ON SUPPOSE QUE VERIFIE LA CONDITION DU MOMENT. CE RESULTAT REPOND A UNE QUESTION DE KING. NOUS DEMONTRONS UN THEOREME DU TYPE DE HARTOGS ET LEVI POUR LE PROBLEME DU BORD DANS UN OUVERT QCONCAVE DE CP#N. NOUS EN DEDUISONS LE THEOREME DE HARTOGS ET LEVI GENERALISE, LE THEOREME DE GRUMAN, MOLZON, SHIFFMAN ET SIBONY GENERALISE ET LE THEOREME DE PROLONGEMENT DES FONCTIONS CR MEROMORPHES AU SENS DE HARVEY ET LAWSON. CE DERNIER RESULTAT EST DEMONTRE POUR LES FONCTIONS C#2 PAR DOLBEAULT, HENKIN ET EGALEMENT PAR PORTEN. LE CAS GENERAL EST DEMONTRE D'UNE AUTRE MANIERE PAR SARKIS EN UTILISANT NOTRE RESULTAT SUR L'ENVELOPPE POLYNOMIALE D'UN COMPACT A#1
Linear extensions, linear averagings, and their applications to linear topological classification of spaces of continuous
functions by
Aleksander Pełczyński(
Book
)
2 editions published in 1970 in Russian and held by 2 WorldCat member libraries worldwide
2 editions published in 1970 in Russian and held by 2 WorldCat member libraries worldwide
AndreottiGrauert theory by integral formulas by
Gennadi Henkin(
)
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide
Complex analysis in partial differential equations and mathematical physics(
Book
)
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
1 edition published in 1989 in English and held by 1 WorldCat member library worldwide
Kompleksnyj analiz  mnogie peremennye(
Book
)
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
1 edition published in 1989 in Russian and held by 1 WorldCat member library worldwide
AndreottiGrauert Theory by integral formulas by
Gennadi Henkin(
Book
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Das d̄Problem auf pseudokonvexen Polyedern nach Sergeev und Henkin by
J Bertrams(
Book
)
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
1 edition published in 1985 in German and held by 1 WorldCat member library worldwide
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Associated Subjects
Algebraic topology CauchyRiemann equations Complex manifolds Differentiable dynamical systems Differential equations, Partial Fluid mechanics Functional equations Functions, Continuous Functions of complex variables Functions of several complex variables Geometry Geometry, Algebraic Global analysis (Mathematics) Global differential geometry Harmonic analysis Integral representations Lax, Peter D Linear topological spaces Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsStudy and teaching Polyhedra Pseudoconvex domains United States
Alternative Names
Chenkin, Gennadij Markovič 1942
Chenkin, Gennadij Markovič. [t]
Chenkin, H. 1942
Chenkin, Hennadij 1942
Chenkin, Hennadij Markovyč 1942
Genkin, Gennadij M. 1942
Genkin, Gennadij Markovič 1942
Henkin, G. M.
Henkin, G. M. 1942
Henkin, G. M. (Gennadi M.), 1942
Henkin, Gennadi.
Henkin, Gennadi 1942
Henkin Gennadi M.
Henkin, Gennadi M. 1942
Henkin, Gennadi Markovič.
Henkin, Gennadi Markovič 1942
Khenkin G. M.
Khenkin, G. M. 1942
Khenkin, Gennadi M. 1942
Khenkin, Gennadiĭ Markovich
Khenkin, Gennadiĭ Markovich 1942
Khenkin Guennadi Markovitch 1942....
Хенкин, Геннадий Маркович
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