Le Hung Son / Wolfgang Tutschke / Chung-Chun Yang (Hgg.)

Finite or Infinite Dimensional Complex Analysis and Applications

Herausgegeben von Le Hung Son; Tutschke, Wolfgang; Yang, Chung-Chun

• Gebundenes Buch

Produktbeschreibung

There is almost no field in mathematics that does not use mathematical analysis. Computer methods in applied mathematics are often based on statements and procedures of mathematical analysis as well. An important part of mathematical analysis is complex analysis because it has many applications in various branches of math.
Present trends in complex analysis, which are reflected in the book, are mainly concentrated on the following four research directions:
-Value distribution theory and its applications,
-Holomorphic functions in several (finitely or infinitely many) complex variables,
-Clifford analysis, I.e., complex methods in higher-dimensional real Euclidian spaces,
-Generalized analytic functions.
A specific feature of today's complex analysis is combining methods of Clifford analysis. This leads to a theory of multi-regular functions.

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Produktdetails

• Advances in Complex Analysis and Its Applications 2
• Verlag: Springer Netherlands
• 2004 edition
• Seitenzahl: 381
• Erscheinungstermin: 30. November 2003
• Englisch
• Abmessung: 241mm x 164mm x 29mm
• Gewicht: 852g
• ISBN-13: 9781402076589
• ISBN-10: 1402076584
• Artikelnr.: 21827291

Autorenporträt

Dr. Wolfgang Tutschke hatte eine Professur für Mathematik an der Technischen Universität Graz inne.

Inhaltsangabe

I. Plenary Talks and Surveys.
1 Nevanlinna theory and Diophantine approximations.
2 In Ramanujan's Shadow.
3 Holomorphic functions on the Lie ball and related topics.
4 Invariance of Plurigenera and Torsion
Freeness of Direct Image Sheaves of Pluricanonial Bundles.
5 Maxwell's equations in Clifford calculus framework
an overview on the development.
6 Generalized Analytic Functions and their contributions to the development of Mathematical Analysis.
II. Complex Methods in the Plane.
7 On qp sequences.
8 Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularization.
9 p
adic Interpolation and Applications.
10 Refined Order and the Paley Problem in Vector Spaces.
11 Integral representation of p
adic functions.
12 Malmquist
Yosida type theorems for algebraic differential equations.
13 Transformation techniques for partial differential equations.
14 Besov
type Characterizations for Quaternionic Bloch Functions.
15 Bergman and Bauer Operators for Elliptic Equations in two Independent Variables.
16 Some results on QK
type spaces.
III. Analysis in Higher Dimensions.
17 Representations in Polydomains.
18 On Bq spaces of hyperholomorphic functions and the Bloch space in R3.
19 Regeneration in complex, quaternion and Clifford analysis.
20 A note on sesquilinear forms and the generalized uncertainty relations in *
algebras.
21 The Hartogs Extension Theorem for the Multi
regular functions Taking Values in a Clifford algebra.
22 The extension of entire functions of nuclear type on locally convex spaces.
23 Some Properties of the Inhomogeneous Generalized Cauchy
Riemann Systems in Quaternionic Algebra and its Applications.
24 The Fundamental Solution of the Hyperbolic Dirac
Equation.
25 Inhomogeneous ordinarydifferential equations and local cohomologies and residues.
26 Infinite dimensional CR category.