Finite or Infinite Dimensional Complex Analysis and Applications

Inbunden, Engelska, 2003

AvLe Hung Son,Chung-Chun Yang,Le Hung Son,Wolfgang Tutschke,Chung-Chun Yang

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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 this 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, (complex methods in higher-dimensional real Euclidian spaces); and generalized analytic functions. A specific feature of contemporary complex analysis is combining methods of Clifford analysis. This leads to a theory of multi-regular functions.

Produktinformation

Utgivningsdatum2003-11-30
Mått155 x 235 x 29 mm
Vikt794 g
FormatInbunden
SpråkEngelska
SerieAdvances in Complex Analysis and Its Applications
Antal sidor381
Upplaga2004
FörlagKluwer Academic Publishers
ISBN9781402076589

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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.