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Author: V.D. Golovin
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Translation (from the Russian) of a monograph in which the author provides experts in homological algebra and the theory of topological vector spaces with a systematic and detailed account of results developed largely by himself, during the 1970s. Five chapters, detailed notes and bibliography, the
Author: V.D. Golovin
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 232
Get Book
Book Description
Translation (from the Russian) of a monograph in which the author provides experts in homological algebra and the theory of topological vector spaces with a systematic and detailed account of results developed largely by himself, during the 1970s. Five chapters, detailed notes and bibliography, the
Author: V.D. Golovin
Publisher: Springer
ISBN: 9781468416770
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Viktor Dmitrievich Golovin
Publisher:
ISBN: 9785855010879
Category :
Languages : en
Pages : 210
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Book Description
Author: Jörg Eschmeier
Publisher: Oxford University Press
ISBN: 9780198536673
Category : Language Arts & Disciplines
Languages : en
Pages : 378
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Book Description
Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, various concepts from function theory and complex analytic geometry are drawn together to give a new approach to concrete spectral computations and give insights into new developments in the spectral theory of linear operators. Classical results from cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas that should stimulate further research among mathematicians.
Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937951
Category : Mathematics
Languages : en
Pages : 967
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Book Description
Author: I.R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 3642609252
Category : Mathematics
Languages : en
Pages : 270
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Book Description
This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Author: Birger Iversen
Publisher: Springer Science & Business Media
ISBN: 3642827837
Category : Mathematics
Languages : en
Pages : 476
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Book Description
This text exposes the basic features of cohomology of sheaves and its applications. The general theory of sheaves is very limited and no essential result is obtainable without turn ing to particular classes of topological spaces. The most satis factory general class is that of locally compact spaces and it is the study of such spaces which occupies the central part of this text. The fundamental concepts in the study of locally compact spaces is cohomology with compact support and a particular class of sheaves,the so-called soft sheaves. This class plays a double role as the basic vehicle for the internal theory and is the key to applications in analysis. The basic example of a soft sheaf is the sheaf of smooth functions on ~n or more generally on any smooth manifold. A rather large effort has been made to demon strate the relevance of sheaf theory in even the most elementary analysis. This process has been reversed in order to base the fundamental calculations in sheaf theory on elementary analysis.
Author: Sergei I. Gelfand
Publisher: Springer Science & Business Media
ISBN: 3662032201
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn about a modern approach to homological algebra and to use it in their work.
Author: Alexander M. Kytmanov
Publisher: Birkhäuser
ISBN: 303489094X
Category : Mathematics
Languages : en
Pages : 318
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Book Description
The Bochner-Martinelli integral representation for holomorphic functions or'sev eral complex variables (which has already become classical) appeared in the works of Martinelli and Bochner at the beginning of the 1940's. It was the first essen tially multidimensional representation in which the integration takes place over the whole boundary of the domain. This integral representation has a universal 1 kernel (not depending on the form of the domain), like the Cauchy kernel in e . However, in en when n > 1, the Bochner-Martinelli kernel is harmonic, but not holomorphic. For a long time, this circumstance prevented the wide application of the Bochner-Martinelli integral in multidimensional complex analysis. Martinelli and Bochner used their representation to prove the theorem of Hartogs (Osgood Brown) on removability of compact singularities of holomorphic functions in en when n > 1. In the 1950's and 1960's, only isolated works appeared that studied the boundary behavior of Bochner-Martinelli (type) integrals by analogy with Cauchy (type) integrals. This study was based on the Bochner-Martinelli integral being the sum of a double-layer potential and the tangential derivative of a single-layer potential. Therefore the Bochner-Martinelli integral has a jump that agrees with the integrand, but it behaves like the Cauchy integral under approach to the boundary, that is, somewhat worse than the double-layer potential. Thus, the Bochner-Martinelli integral combines properties of the Cauchy integral and the double-layer potential.
Author: Jörg Schürmann
Publisher: Birkhäuser
ISBN: 3034880618
Category : Mathematics
Languages : en
Pages : 461
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Book Description
This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
