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Finite or Infinite Dimensional Complex Analysis and Applications : Advances in Complex Analysis and Its Applications - Le Hung Son

Finite or Infinite Dimensional Complex Analysis and Applications

Advances in Complex Analysis and Its Applications

By: Le Hung Son (Editor), Wolfgang Tutschke (Editor), Chung-Chun Yang (Editor)

Hardcover Published: 30th November 2003
ISBN: 9781402076589
Number Of Pages: 381

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There is almost no field in Mathematics which does not use Mathe­ matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero­ morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com­ plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.

Prefacep. ix
Plenary Talks and Surveys
Nevanlinna theory and Diophantine approximationsp. 1
In Ramanujan's Shadowp. 21
Holomorphic functions on the Lie ball and related topicsp. 35
Invariance of Plurigenera and Torsion-Freeness of Direct Image Sheaves of Pluricanonial Bundlesp. 45
Maxwell's equations in Clifford calculus framework--an overview on the developmentp. 85
Generalized Analytic Functions and their contributions to the development of Mathematical Analysisp. 101
Complex Methods in the Plane
On q[subscript p] sequencesp. 117
Reconstruction of an Analytic Function from a Sequence of Values: Existence and Regularizationp. 127
p-adic Interpolation and Applicationsp. 143
Refined Order and the Paley Problem in Vector Spacesp. 153
Integral representation of p-adic functionsp. 169
Malmquist-Yosida type theorems for algebraic differential equationsp. 181
Transformation techniques for partial differential equationsp. 193
Besov-type Characterizations for Quaternionic Bloch Functionsp. 207
Bergman and Bauer Operators for Elliptic Equations in two Independent Variablesp. 221
Some results on Q[subscript K]-type spacesp. 245
Analysis in Higher Dimensions
Representations in Polydomainsp. 255
On B[superscript q] spaces of hyperholomorphic functions and the Bloch space in R[superscript 3]p. 269
Regeneration in complex, quaternion and Clifford analysisp. 287
A note on sesquilinear forms and the generalized uncertainty relations in *-algebrasp. 299
The Hartogs Extension Theorem for the Multi-regular functions Taking Values in a Clifford algebrap. 309
The extension of entire functions of nuclear type on locally convex spacesp. 323
Some Properties of the Inhomogeneous Generalized Cauchy-Riemann Systems in Quaternionic Algebra and its Applicationsp. 331
The Fundamental Solution of the Hyperbolic Dirac-Equationp. 345
Inhomogeneous ordinary differential equations and local cohomologies and residuesp. 361
Infinite dimensional CR categoryp. 371
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9781402076589
ISBN-10: 1402076584
Series: Advances in Complex Analysis and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 381
Published: 30th November 2003
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.08 x 16.36  x 2.87
Weight (kg): 0.79

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