scientific article; zbMATH DE number 3227305

Publication date: 1965

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holomorphic functions of several complex variables

Holomorphic functions of several complex variables (32Axx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces (32-01)

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I, Meromorphic extension spaces, A function algebraic characterization of Riemann domains, Properties of compact complex manifolds carrying closed positive currents, Uniform Fréchet algebras with prescribed endomorphism group, On the Schrödinger operator with a small potential in the case of a crystal film, A switch in nodal structure in coupled systems of nonlinear Sturm- Liouville boundary value problems, Non-embeddable CR-manifolds and surface singularities, On the Zariski tangent space to a complex analytic variety, On normality of a family of holomorphic functions, Analytic cycles and vector bundles on non-compact algebraic varieties, Maximality of the algebra of functions continuous on the extended complex plane and analytic in the complement of a completely discontinuous compactum, Holomorphic fiberings and multivalued functions of elements of a Banach algebra, Structure of foliation singularities, Eigentliche, holomorphe Abbildungen der Kugel in sich, Multiplicity formulae for discrete series, Analyticity of solutions of some nonlinear equations, Approximation für Okasche Paare von Garben homogener Räume, Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten, Calcul symbolique sur la frontière de Silov de certaines algèbres de fonctions holomorphes, Projektoren und relative Inversion holomorpher Semifredholmfunktionen, Varieties proper over affine schemes, Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions, On manifolds that cannot be ample divisors, On Schottky and Teichmüller spaces, On inequalities between Hermitian and symmetric forms, Sections of coherent analytic sheaves with growth on complex spaces, Fonctions différentiables invariantes sous l'opération d'un groupe réductif, Extremal tests for scalar functions of several real variables at degenerate critical points, Holomorphic fiber bundles whose fibers are bounded Stein domains with zero first Betti number, Simple proofs of Nakano's vanishing theorem and Kazama's approximation theorem for weakly 1-complete manifolds, Sur l'existence d'intégrale première pour un germe de forme de Pfaff, On horospheres and holomorphic endomorfisms of the Siegel disc, ${\bar\partial}$-cohomology of (H,C)-groups, Totally real imbeddings and the universal covering spaces of domains of holomorphy: Some examples, Higher dimensional analogues of periodic continued fractions and cusp singularities, On the Douady space of a compact complex space in the category ${\mathcal C}$. II, Ideals generated by exponential-polynomials, Bifurcations imparfaites de type pontentiel et D-équivalences de déformations des fonctions, Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains, The Cauchy-Riemann equations and differential geometry, Unnamed Item, A GRAPHICAL CALCULUS FOR 2-BLOCK SPALTENSTEIN VARIETIES, CR Functions and Tube Manifolds, On the Functional Approach to Bayesian Efficient Designs for Nonlinear Regression Models, On regular Stein neighborhoods of a union of two totally real planes in $\mathbb {C}^2$, The Lie group of real analytic diffeomorphisms is not real analytic, Normal Two-Dimensional Elliptic Singularities, Computing singular solutions to nonlinear analytic systems, Dolbeault Homotopy Theory, Effective Bezout identities in ${\mathbb{Q}}[z_ 1,\dots ,z_ n$], On the spectrum of a nonlinear operator, New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors, Une théorie de l'intersection dans un espace singulier, On the elementary theory of restricted elementary functions, On holomorphic flows on Stein surfaces: Transversality, dicriticalness and stability, Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups, Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon, Extension of the Complex Structure from Stein Manifolds with Strictly Pseudoconvex Boundary, Positive semidefinite analytic functions on real analytic surfaces, Unnamed Item, Unnamed Item, Time-varying systems and crossed products, On the Hartogs extension theorem for unbounded domains in $\mathbb{C}^n$, Body-ordered approximations of atomic properties, Residue currents with prescribed annihilator ideals, On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry, Holomorphic symmetries, Iteration of Holomorphic Maps of the Unit Ball Into Itself, Asymptotic multiplicities and Monge-Ampère masses (with an appendix by Sébastien Boucksom), Conservative and Divergence Free Algebraic Vector Fields, Some extension theorems for regular maps of Stein manifolds, Existence of secondary solutions to a generalized taylor problem, Extension of analytic covers by extension of their ramification divisors, The Vishik–Lyusternik method in the mixed problem for parabolic operators unresolved with respect to the highest time derivative, Zeros of real polynomials, Un exemple de compact polynomialement convexe dans $\bbfC^2$, Notes on complex Lie semigroups, Canonical complex extensions of Kähler manifolds, Unnamed Item, Analyticity of a restricted formality, A superharmonic prior for the autoregressive process of the second-order, Holomorphic shadows in the eyes of model theory, The Limiting Behavior of the Kobayashi-Royden Pseudometric, 6.—Rationally Convex Hulls and Potential Theory., Fibrations and Stein neighborhoods, ON THE HARISH-CHANDRA HOMOMORPHISM FOR GENERALIZED KAC-MOODY ALGEBRAS, A finiteness criterion for cohomology of Fréchet-Montel sheaves, Compactifications équivariantes par des courbes, A several complex variables approach to feedback stabilization of linear neutral delay-differential systems, On the finiteness of Pythagoras numbers of real meromorphic functions, Unnamed Item, A homogeneity condition guaranteeing bifurcation in multiparameter nonlinear eigenvalue problems, A Complex Space Whose Spectrum is Not Locally Compact Anywhere, Fortsetzungssatz für räumliche holomorphe Funktionen, Unnamed Item, Generalizedn-dimensional hilbert transform and applications, The area of a divisor on manifolds with respect to a special fibering, Unnamed Item, Unnamed Item, Holomorphe Semi-FREDHOLMfunktionen ohne komplementierte Kerne bzw. Bilder, Spaces with homogeneous norms, A Survey on L 2 Extension Problem, Integrals with a large parameter: a double complex integral with four nearly coincident saddle-points, On the Integrability of Singular Differential Forms in Two Complex Variables, A cohomological steinness criterion for holomorphically spreadable complex spaces, Characterization of Privileged Polydomains, On the Pythagoras numbers of real analytic surfaces☆, Analytic Structure in Some Analytic Function Algebras, Complex manifolds and mathematical physics, Cyclicity of period annuli and principalization of Bautin ideals, Spherical Functions on Cartan Motion Groups, Composition operators and several complex variables, Relative Size of the Shilov Boundary of a Function Algebra, A Generalized Shilov Boundary and Analytic Structure, Global Residues and Intersections on a Complex Manifold, On the Solvability of the Discrete Conductivity and Schrödinger Inverse Problems, On singular sets of flat holomorphic mappings with isolated singularities, On the Intersection of Varieties with a Totally Real Submanifold, Unnamed Item, Positivity notions for holomorphic line bundles over compact Riemann surfaces, The Ring of Holomorphic Functions on a Stein Compact Set as a Unique Factorization Domain, ONE-DIMENSIONAL LIE FOLIATIONS WITH GENERIC SINGULARITIES IN COMPLEX DIMENSION THREE, On the Infinite Dimensionality of the Dolbeault Cohomology Groups, Unnamed Item, Discrete Analytic Functions of Exponential Growth, A Fatou type theorem for complex map germs, Unnamed Item, Analytic Continuation, Envelopes of Holomorphy, and Projective and Direct Limit Spaces, On hyperbolicity and tautness modulo an analytic subset of Hartogs domains, Deformations of isolated even double points of corank one, Complex Retractions and Envelopes of Holomorphy, Spectral synthesis in the space of functions of exponential growth on a finitely generated Abelian group, A Paley-Wiener Theorem for Locally Compact Abelian Groups, The Kobayashi and Bergman Metrics on Generalized Thullen Domains, On meromorphic factoring and entire solutions of certain nonlinear partial differential equations, Le problème de Cauchy ramifié linéaire pour des données à singularités algébriques, Unnamed Item, Analytic continuation and boundary continuity of functions of several complex variables, Asymptotics and duality for the Davis and Norman problem, On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials, [https://portal.mardi4nfdi.de/wiki/Publication:4523686 Un crit�re de Darboux d'existence d'int�grale premi�re pour les 1-formes diff�rentielles analytiques], Non-existence of holomorphic solutions of $\partial u/\partial z_1 = f$, Approximation of plurisubharmonic functions by multipole Green functions, The Oka principle for multivalued sections of ramified mappings, Ricci flatness of asymptotically locally Euclidean metrics, Unnamed Item, Residues and Hyperfunctions, DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS, Holomorphic vector fields transverse to polydiscs, A stronger result than Grauert-Narasimhan's solution to levi problem, Unnamed Item, Unnamed Item, Global Ideal Theory of Meromorphic Function Fields, Removable Singularities of Separately Harmonic Functions, Unnamed Item, EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS, Irrational Connected Sums and the Topology of Algebraic Surfaces, Cones in Complex Affine Space are Topologically Singular, Unnamed Item, Unnamed Item, Unnamed Item, On the convergence to statistical equilibrium for harmonic crystals, Holomorphic Approximation on Real-Analytic Submanifolds of a Complex Manifold, Hilbert Nullstellensatz in Global Complex-Analytic Case, Some Remarks about a Theorem of Hartogs, Lifting Cycles to Deformations of Two-Dimensional Pseudoconvex Manifolds, Holomorphic Hulls and Holomorphic Convexity of Differentiable Submanifolds, Families of Nonnegative Divisors, On Serre Duality and Envelopes of Holomorphy, Characterization of the Linear Partial Differential Operators with Constant Coefficients Which are Surjective on Non‐quasianalytic Classes of Roumieu Type on ℝ^N, A conjecture of J. Nagata on dimension and metrization, Extension of Coherent Analytic Subsheaves, Extension operators for analytic functions defined on certain closed subvarieties of a Stein space, Boundedly Holomorphic Convex Riemann Domain, Homologically trivial integrable deformations of germs of holomorphic functions, Unnamed Item, Properties of the Sequence of Closed Powers of a Maximal Ideal in a Sup-Norm Algebra, Finitely Generated Coherent Analytic Sheaves, Wave Equations with Finite Velocity of Propagation, [https://portal.mardi4nfdi.de/wiki/Publication:4857456 A poincar�-bendixson theorem for analytic families of vector fields], Cohomology, Maximal Ideals, and Point Evaluations, Unnamed Item, ON PROPER HOLOMORPHIC MAPPINGS BETWEEN TWO EQUIDIMENSIONAL FBH-TYPE DOMAINS, Unnamed Item, Reduction of systems of nonlinear partial differential equations to simplified involutive forms, Transversely affine and transversely projective holomorphic foliations, Regularity and Algebras of Analytic Functions in Infinite Dimensions, Unnamed Item, Analytic deformations of pencils and integrable one-forms having a first integral, Countable partitions of Euclidean space, Families of Universal Taylor Series Depending on a Parameter, The sheaves representation of Hausdorff spectra, Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems, Unnamed Item, Le groupe des automorphismes analytiques d'un domaine borné d'un espace de Banach complexe. Application aux domaines bornés symétriques, Unnamed Item, On an integrable multi-dimensionally consistent 2 n + 2 n -dimensional heavenly-type equation, Mellin Quantisation in Corner Operators, Structures of systems 1. Cohomology of manufacturing and supply network-like systems, A Holomorphic Point of View about Geodesic Completeness, On the classification of the real vector subspaces of a quaternionic vector space, Zeros of complex homogeneous polynomials, Stein compacts in Levi-flat hypersurfaces, EXPANSIONS OF ALGEBRAICALLY CLOSED FIELDS II: FUNCTIONS OF SEVERAL VARIABLES, Equivalence of quotient Hilbert modules–II, Some functional-difference equations solvable in finitary functions, Approximation of holomorphic maps with a lower bound on the rank, Banach function algebras with dense invertible group, Generalization of the big Picard theorem, Unnamed Item, Mappings of Real Algebraic Hypersurfaces, Holomorphic convexity of spaces of analytic cycles, A nonstandard Riemann existence theorem, A preparation theorem for Weierstrass systems, Picard's theorem, Mittag-Leffler methods, and continuity of characters on Fréchet algebras, Integrable deformations of foliations: a generalization of Ilyashenko's result, Eigenvalues, absolute continuity and localizations for periodic unitary transition operators, Unnamed Item, Unnamed Item, Continuation of analytic structure in the maximal ideal space of a uniform algebra, The geometry of $G$-structures, Holomorphic Convexity of Compact Sets in Analytic Spaces and the Structure of Algebras of Holomorphic Germs, Irreducibility of some unitary representations of the poincaré group with respect to the Poincaré subsemigroup, II, Calculation of Some Homology Groups Relevant to Sixth-Order Feynman Diagrams, On Maximally Elliptic Singularities, Solvability of the first Cousin problem and vanishing of higher cohomology groups for domains which are not domains of holomorphy, Solvability of the first Cousin problem and vanishing of higher cohomology groups for domains which are not domains of holomorphy. II, The Topology of the Milnor Fibration, Functions Satisfying Elementary Relations, Pluriharmonic Functions in Balls, Representations of the algebra of all operators in hilbert space, and related analytic function algebras, On the Rationality of Divisors and Meromorphic Functions, Families of Holomorphic Maps into Riemann Surfaces, Parabolic equations in one space variable and the non‐characteristic cauchy problem, A Deformation Theorem for the Kobayashi Metric, On Relatively Free Subsets of Lie Groups, Branched Structures and Affine and Projective Bundles on Riemann Surfaces, COHOMOLOGY ON NEIGHBORHOODS OF NON-PLURIHARMONIC LOCI IN PSEUDOCONVEX KÄHLER MANIFOLDS, Holomorphic approximation on real submanifolds of a complex manifold, Function theoretic methods in the theory of boundary value problems for generalized metaharmonic functions, Coherent sheaves on bordered Riemann surfaces, Approximation on Disks, On Projective Differential Equations on Complex Analytic Manifolds, Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains, On local solvability of linear partial differential equations—part II. Sufficient conditions, Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains, On Projective Differential Equations on Complex Analytic Manifolds, Decomposition theorems for the generalized metaharmonic equation in several independent variables, Local analytic structure in certain commutative topological algebras, Rational approximation of holomorphic maps, The minimum principle on the sequential complete local convex spaces, The Theory of Infinitely Divisible Matrices and Kernels, A new insight to the Hamiltonian systems with a finite number of spectral parameters, Modules Over Polydisc Algebras, Noether-Lasker Decomposition of Coherent Analytic Subsheaves, On Smooth Bounded Manifolds, A residue formula for meromorphic connections and applications to stable sets of foliations, Recursive formula for covariant derivatives and geometric classification of quotient modules, Compact Holomorphically Convex Subsets of a Stein Manifold, Spaces of generalized analytic functions, On the Number of Singularities of an Analytic Curve, Quasi-normal analytic spaces, Sous-ensembles analytiques d'ordre fini ou infini dans $C^n$, Structures of sets of solutions to the Hartree-Fock equation, Absolute Gap-Sheaves and Extensions of Coherent Analytic Sheaves, Picard-Lefschetz Theorem for Families of Nonsingular Algebraic Varieties Acquiring Ordinary Singularities, Hoffman type theorems on continuous maps in the maximal ideal space of $\mathbf{H}^\infty$, Finite orbits for large groups of automorphisms of projective surfaces, A Note on the Holomorphic Functional Calculus in a Banach Algebra, On the Measure of Zero Sets of Coordinate Functions, Local Complex Analytic Curves in an Analytic Variety, A spectral mapping theorem for tensor products of unbounded operators, Uniform Approximation on a Real-Analytic Manifold, Approximation Theorems on Differentiable Submanifolds of a Complex Manifold, Bounded Holomorphic Functions of Several Complex Variables. I, The Spectrum of a Function Algebra, The Blaschke Condition for Bounded Holomorphic Functions, Closedness of Coboundary Modules of Analytic Sheaves, Unnamed Item, Unnamed Item, Unnamed Item, SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE, SECOND QUANTIZATION AND THE L^p-SPECTRUM OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS, Unnamed Item, Analytic Sets as Branched Coverings, The Powers of a Maximal Ideal in a Banach Algebra and Analytic Structure, Unnamed Item, Unnamed Item, Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems, On complete intersections, The deformation theory of representations of fundamental groups of compact Kähler manifolds, On Cohomology Groups of Certain Subcomplexes of Dolbeault Complexes, Zeros of Entire Functions in Several Complex Variables, Homomorphisms of Rings of Germs of Analytic Functions, Plurisubharmonic Functions and Convexity Properties for General Function Algebras, On the De Rham cohomology of algebraic varieties, Inverse eigenvalue problems, Curvature Tensors in Kaehler Manifolds, On the mean value of probability measures on circular graphs, Formalité linéaire analytique, Foliations with complex leaves, Unnamed Item, Unnamed Item, Complete intersections in Stein manifolds, Unnamed Item, Algebras of Analytic Germs, Unnamed Item, Unnamed Item, Unnamed Item, Kählerianity of $q$-Stein spaces, Kählerianity of $q$-Stein spaces, Unnamed Item, On linear matrix differential equations, Prolongement de faisceaux analytiques cohérents, On the continuation of analytic sets, Extension of holomorphic maps into hermitian manifolds, Local moduli for complex analytic vector bundles, Extension of holomorphic maps into hermitian manifolds, On Dual Sets Generated by Lacunary Polynomials, Local moduli for complex analytic vector bundles