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Download Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation (Translations of Mathematical Monographs) eBook

by Yasutaka Sibuya

Download Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation (Translations of Mathematical Monographs) eBook
ISBN:
0821846760
Author:
Yasutaka Sibuya
Category:
Mathematics
Language:
English
Publisher:
American Mathematical Society (July 16, 2008)
Pages:
267 pages
EPUB book:
1971 kb
FB2 book:
1408 kb
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1510 kb
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The book, focusing attention on intrinsic aspects of the subject, explores some problems of linear ordinary differential equations in complex domains.

The book, focusing attention on intrinsic aspects of the subject, explores some problems of linear ordinary differential equations in complex domains. Examples of the problems discussed include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations.

Go . current document Publication list for all documents. Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation. Base Product Code Keyword List: mmono; MMONO; mmono/82; MMONO/82; mmono-82; MMONO-82. Print Product Code: MMONO/82. Online Product Code: MMONO/82. Title (HTML): Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation.

Translations of MATHEMATICAL MONOGRAPHS Volume 146 Introduction to Linear Systems of Differential .

Translations of MATHEMATICAL MONOGRAPHS Volume 146 Introduction to Linear Systems of Differential Equations L. Ya. A. .Fewnomials (Translations of Mathematical Monographs) . Report "Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation (Translations of Mathematical Monographs)".

The main part of this book is a translation of a 1976 book originally written in Japanese. The book, focusing attention on intrinsic aspects of the subject, explores some problems of linear ordinary differential equations in complex domains. Examples of the problems discussed include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations

Linear differential equations in the complex domain: problems of analytic continuation.

Linear differential equations in the complex domain: problems of analytic continuation. complex dimension and Rm are covariant differential operators whose coefficients are universal expressions in the contravariant metric tensor, the curvature tensor, and the latter's covariant derivatives. A similar asymptotic expansion Berα ∑m 0∞ Qmα-m is then obtained for the Berezin transform Berα on a strongly pseudoconvex domain equipped with a Kähler metric possessing a global potential Φ. For m ≦ 3, we find explicit formulas for Rm and Qm.

Inverse problems for linear differential equations with meromorphic . et al. (eds) Mathematical Events of the Twentieth Century. Springer, Berlin, Heidelberg.

Inverse problems for linear differential equations with meromorphic coefficients. In: Isomonodromic Deformations and Applications in Physics (Montréal, 2000). Providence, RI: Amer. Monographs, 82. bMATHGoogle Scholar. The problems of Riemann and Hilbert and the relations of Fuchs in several complex variables. 1007/3-540-29462-7 3.

Publication, Distribution, et. Providence, . American Mathematical Society, (c)1990.

Download this book Linear Differential Equations in the Complex Domain: Problems of Analytic Continuation (Translations of Mathematical Monographs). Sponsored High Speed Downloads. 9468 dl's @ 3129 KB/s.

Research in differential equations is usually oriented toward explicit results and motivated by applications. Many clever methods have been discovered in this way, but, when problems of more fundamental difficulty arise, researchers must find something intrinsic in the mathematics itself in order to make progress. As research in topology, algebraic geometry, and functions of several complex variables have advanced, many methods useful in such fields were introduced into the study of differential equations. The main part of this book is a translation of a 1976 book originally written in Japanese. The book, focusing attention on intrinsic aspects of the subject, explores some problems of linear ordinary differential equations in complex domains. Examples of the problems discussed include the Riemann problem on the Riemann sphere, a characterization of regular singularities, and a classification of meromorphic differential equations. Since the original book was published, many new ideas have developed, such as applications of D-modules, Gevrey asymptotics, cohomological methods, $k$-summability, and studies of differential equations containing parameters. Five appendices, added in the present edition, briefly cover these new ideas. In addition, more than 100 references have been added. This book will introduce readers to the essential facts concerning the structure of solutions of linear differential equations in the complex domain, as well as illuminate the intrinsic meaning of older results by means of more modern ideas. A useful reference for research mathematicians on various fundamental results, this book would also be suitable as a textbook in a graduate course or seminar.