Author: T.V. Tonev
Publisher: Elsevier
ISBN: 9780080872834
Category : Mathematics
Languages : en
Pages : 293
Book Description
Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.
Big-Planes, Boundaries and Function Algebras
Author: T.V. Tonev
Publisher: Elsevier
ISBN: 9780080872834
Category : Mathematics
Languages : en
Pages : 293
Book Description
Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.
Publisher: Elsevier
ISBN: 9780080872834
Category : Mathematics
Languages : en
Pages : 293
Book Description
Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.
Algebras of Analytic Functions on Plane Sets
Author: A. M. Davie
Publisher:
ISBN:
Category : Algebraic functions
Languages : en
Pages : 208
Book Description
Publisher:
ISBN:
Category : Algebraic functions
Languages : en
Pages : 208
Book Description
Banach Spaces of Analytic Functions
Author: Kenneth Hoffman
Publisher: Courier Corporation
ISBN: 048614996X
Category : Mathematics
Languages : en
Pages : 227
Book Description
A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.
Publisher: Courier Corporation
ISBN: 048614996X
Category : Mathematics
Languages : en
Pages : 227
Book Description
A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory. Close in spirit to abstract harmonic analysis, it is confined to Banach spaces of analytic functions in the unit disc. The author devotes the first four chapters to proofs of classical theorems on boundary values and boundary integral representations of analytic functions in the unit disc, including generalizations to Dirichlet algebras. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters. The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in the unit disc. Enhanced with 100 challenging exercises, a bibliography, and an index, this text belongs in the libraries of students, professional mathematicians, as well as anyone interested in a rigorous, high-level treatment of this topic.
Analytic Capacity and Measure
Author: J. Garnett
Publisher: Springer
ISBN: 3540380035
Category : Mathematics
Languages : en
Pages : 143
Book Description
Publisher: Springer
ISBN: 3540380035
Category : Mathematics
Languages : en
Pages : 143
Book Description
Uniform Algebras
Author: Theodore W. Gamelin
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 280
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 280
Book Description
Complex Analytic Sets
Author: E.M. Chirka
Publisher: Springer Science & Business Media
ISBN: 940092366X
Category : Mathematics
Languages : en
Pages : 386
Book Description
The theory of complex analytic sets is part of the modern geometrical theory of functions of several complex variables. A wide circle of problems in multidimensional complex analysis, related to holomorphic functions and maps, can be reformulated in terms of analytic sets. In these reformulations additional phenomena may emerge, while for the proofs new methods are necessary. (As an example we can mention the boundary properties of conformal maps of domains in the plane, which may be studied by means of the boundary properties of the graphs of such maps.) The theory of complex analytic sets is a relatively young branch of complex analysis. Basically, it was developed to fulfill the need of the theory of functions of several complex variables, but for a long time its development was, so to speak, within the framework of algebraic geometry - by analogy with algebraic sets. And although at present the basic methods of the theory of analytic sets are related with analysis and geometry, the foundations of the theory are expounded in the purely algebraic language of ideals in commutative algebras. In the present book I have tried to eliminate this noncorrespondence and to give a geometric exposition of the foundations of the theory of complex analytic sets, using only classical complex analysis and a minimum of algebra (well-known properties of polynomials of one variable). Moreover, it must of course be taken into consideration that algebraic geometry is one of the most important domains of application of the theory of analytic sets, and hence a lot of attention is given in the present book to algebraic sets.
Publisher: Springer Science & Business Media
ISBN: 940092366X
Category : Mathematics
Languages : en
Pages : 386
Book Description
The theory of complex analytic sets is part of the modern geometrical theory of functions of several complex variables. A wide circle of problems in multidimensional complex analysis, related to holomorphic functions and maps, can be reformulated in terms of analytic sets. In these reformulations additional phenomena may emerge, while for the proofs new methods are necessary. (As an example we can mention the boundary properties of conformal maps of domains in the plane, which may be studied by means of the boundary properties of the graphs of such maps.) The theory of complex analytic sets is a relatively young branch of complex analysis. Basically, it was developed to fulfill the need of the theory of functions of several complex variables, but for a long time its development was, so to speak, within the framework of algebraic geometry - by analogy with algebraic sets. And although at present the basic methods of the theory of analytic sets are related with analysis and geometry, the foundations of the theory are expounded in the purely algebraic language of ideals in commutative algebras. In the present book I have tried to eliminate this noncorrespondence and to give a geometric exposition of the foundations of the theory of complex analytic sets, using only classical complex analysis and a minimum of algebra (well-known properties of polynomials of one variable). Moreover, it must of course be taken into consideration that algebraic geometry is one of the most important domains of application of the theory of analytic sets, and hence a lot of attention is given in the present book to algebraic sets.
Several Complex Variables
Author: Raymond O'Neil Wells
Publisher: American Mathematical Soc.
ISBN: 082180250X
Category : Mathematics
Languages : en
Pages : 328
Book Description
Contains sections on Noncompact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, Survey papers.
Publisher: American Mathematical Soc.
ISBN: 082180250X
Category : Mathematics
Languages : en
Pages : 328
Book Description
Contains sections on Noncompact complex manifolds, Differential geometry and complex analysis, Problems in approximation, Value distribution theory, Group representation and harmonic analysis, Survey papers.
Seminars on Analytic Functions
Introduction to Function Algebras
Author: Andrew Browder
Publisher:
ISBN:
Category : Algebraic functions
Languages : en
Pages : 294
Book Description
Publisher:
ISBN:
Category : Algebraic functions
Languages : en
Pages : 294
Book Description
Mathematical Physics and Complex Analysis
Author: L. D. Faddeev
Publisher: American Mathematical Soc.
ISBN: 9780821831205
Category : Mathematics
Languages : en
Pages : 336
Book Description
A collection of survey papers on the 50th anniversary of the institute.
Publisher: American Mathematical Soc.
ISBN: 9780821831205
Category : Mathematics
Languages : en
Pages : 336
Book Description
A collection of survey papers on the 50th anniversary of the institute.