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Finite or Infinite Dimensional Complex Analysis and Applications (Advances in Complex Analysis and Its Applications)
 
 
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Finite or Infinite Dimensional Complex Analysis and Applications (Advances in Complex Analysis and Its Applications) [Hardcover]

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

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Book Description

November 30, 2003 1402076584 978-1402076589 1
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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Inside This Book (learn more)
First Sentence:
We list three main open problems and introduce their progresses. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
local solvability condition, algebraic local cohomology class, biregular functions, multiplier ideal sheaves, proper surjective holomorphic map, hyperholomorphic functions, complex projective algebraic manifolds, multiplier ideal sheaf, supremum bound, holomorphic function germs, generalized analytic functions, infinite dimensional complex analysis, pluriharmonic functions, arbitrary holomorphic functions, monogenic functions, double series expansion, quaternion analysis, differential transformations, meromorphic solution, quaternionic analysis, positive linear form, global generation, holomorphic line bundle, positive line bundle, interpolating sequence
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Department of Mathematics, New York, Hong Kong, Pitman Research Notes, Marcel Dekker, Academic Press, Fukuoka Univ, Kluwer Academic Publishers, Longman Scientific, Mathematical Analysis, Introduction Let, Japan E-mail, Acta Math, Cambridge Philos, China E-mail, Duke Math, Germany E-mail, Springer Verlag, University of Joensuu
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