Finite or Infinite Dimensional Complex Analysis

✍ Scribed by Kajiwara, Joji; Li, Zhong; Shon, Kwang Ho

• Publisher: CRC Press LLC
• Year: 2019
• Tongue: English
• Leaves: 651
• Series: Lecture Notes in Pure and Applied Mathematics Ser
• Category: Library

✦ Table of Contents

Content: Cover
Half Title
Series Page
Lecture Notes In Pure and Applied Mathematics
Title Page
Copyright Page
Contents
Preface
Contributors
1 Modular Space for Complete Intersection Curve-Singularities
2 Quasinormability of Vector Valued Sequence Spaces
3 Holomorphic Mappings and Cardinality
4 Approximation Numbers for Polynomials
5 Applications of Laguerre Calculus to Dirichlet Problem of the Heisenberg Laplacian
6 The Pisier-Schütt Theorem for Spaces of Polynomials
7 Canonical v. Functional Extensions of Holomorphic Functions 8 On Convergence of Trigonometric Interpolation for Periodic Analytic Functions9 On the Double Series Expansion with Harmonic Components
10 Extension of Pluriharmonic Functions in Locally Convex Spaces
11 Regeneration in Complex, Quaternionic, and Clifford Analysis
12 Schauder Decompositions of Weighted Spaces of Holomorphic Functions
13 Spaces of Banach-Valued Holomorphic Functions in the Polydisk in Connection with Their Boundary Values
14 Univalent C[sup(1)] Mappings on the Unit Ball in C[sup(n)]
15 The Growth Theorem of Biholomorphic Mappings on a Banach Space 16 Stability of Solutions for Singular Integral Equations for Two Classes in Locally Convex Spaces17 The Nevanlinna's First Main Theorem for Holomorphic Hermitian Line Bundles
18 On Distortion Theorem for N-Set Quasiconformal Mappings
19 Monodromy of a Holomorphic Family of Riemann Surfaces: A Remark on Monodromy of a Holomorphic Family of Riemann Surfaces Induced by a Kodaira Surface and the Nielsen-Thurston-Bers Classification of Surface Automorphisms
20 Characterizations of Holomorphy of Domains through Validity of Theorem A, B or Oka's Principle 21 Envelope of Biregularity and Ƒ-Convexity in Clifford Analysis22 On a Representative Domain in Matrix Space
23 A New Approximation of the Navier-Stokes Equations
24 Généralisation du Produit de Blaschke dans le Bidisque-Unité
25 P-Spaces
26 On the Arithmetic-Geometric Mean Inequality
27 Weakly Sufficient Sequences in the Space of Functions of Polynomial Growth
28 Some New Results of Clifford Analysis in Higher Dimensions
29 Matrix Criteria for the Extension of Solutions of the General Linear System of Partial Differential Equations with Function Coefficients 30 Existence of the Solutions of the Cauchy-Riemann Equations31 Solution of a Class of Periodic Hypersingular Integral Equations
32 On Two Questions in Clifford Analysis and Octonion Analysis
33 An Inequality of Teichmüller's Distance
34 Cyclically Symmetric Circular Crack Problems of Different Media
35 The Grassmannian Manifold Associated to a Bounded Symmetric Domain
36 Holomorphic Mappings and Weak Continuity
37 A Characterization of Analytic Functionals on the Sphere I
38 Ideals of Holomorphic Functions on Infinite Dimensional Spaces