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Analytic D-Modules and Applications Jan-Erik Björk Author
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ISBN: 9780792321149

This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern t… Plus…

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Analytic D-Modules and Applications Jan-Erik Björk Author
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Analytic D-Modules and Applications Jan-Erik Björk Author - nouveau livre

ISBN: 9780792321149

This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern t… Plus…

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Analytic D-Modules and Applications (Mathematics and Its Applications, 247, Band 247) - Björk, Jan-Erik
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Björk, Jan-Erik:
Analytic D-Modules and Applications (Mathematics and Its Applications, 247, Band 247) - edition reliée, livre de poche

1993

ISBN: 9780792321149

Springer, Gebundene Ausgabe, Auflage: 1993, 594 Seiten, Publiziert: 1993-01-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: Illustrated, 4.92 kg, Naturwissenschaft & Mathematik, Fachbü… Plus…

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Björk, Jan-Erik:
Analytic D-Modules and Applications (Mathematics and Its Applications (247)) - edition reliée, livre de poche

1993, ISBN: 0792321146

[EAN: 9780792321149], Gebraucht, wie neu, [PU: Springer], Like New, Books

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Jan-Erik Bjà rk:
Analytic D-Modules and Applications (Mathematics and Its Applications, 247) - edition reliée, livre de poche

1993, ISBN: 0792321146

[EAN: 9780792321149], Neubuch, [PU: Springer], Clean and crisp and new!, Books

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Analytic D-Modules and Applications Jan-Erik Björk Author

This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.

Informations détaillées sur le livre - Analytic D-Modules and Applications Jan-Erik Björk Author


EAN (ISBN-13): 9780792321149
ISBN (ISBN-10): 0792321146
Version reliée
Date de parution: 1993
Editeur: Springer Netherlands Core >2 >T
600 Pages
Poids: 1,052 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-06-12T18:31:30+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-25T03:49:23+01:00 (Paris)
ISBN/EAN: 9780792321149

ISBN - Autres types d'écriture:
0-7923-2114-6, 978-0-7923-2114-9
Autres types d'écriture et termes associés:
Auteur du livre: björk, bjork, bjoerk, bjrk, erik jan, erik lie, bernstein
Titre du livre: modules, analytic, bjork


Données de l'éditeur

Auteur: Jan-Erik Björk
Titre: Mathematics and Its Applications; Analytic D-Modules and Applications
Editeur: Springer; Springer Netherland
581 Pages
Date de parution: 1993-01-31
Dordrecht; NL
Langue: Anglais
149,79 € (DE)
153,99 € (AT)
165,50 CHF (CH)
Available
XIII, 581 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Hypergeometric function; calculus; differential equation; manifold; symplectic geometry; Global Analysis and Analysis on Manifolds; BC

I. The sheaf DX and its modules.- II. Operations on D-modules.- III. Holonomic D-modules.- IV. Deligne modules.- V. Regular holonomic D-modules.- VI. b-functions.- VII. Distributions and regular holonomic systems.- VIII. Microdifferential operators.- A:I Derived Categories.- Summary.- A:I.1 The construction of derived categories.- A:I.2. Properties of derived categories.- A:I.3. Injective resolutions.- A:I.4. Spectral sequences.- A:II Sheaf Theory.- Summary.- A:II.1. The category of sheaves.- A:II.2. Operations on sheaves.- A:II.3. The derived category of sheaves.- A:II.4. Flabby sheaves.- A:II.5. Sheaves on paracompact manifolds.- A:II.6. Ringed spaces.- A:II.7. Derived categories of modules.- A:III Filtered rings.- Summary.- A:III.1. Filtered rings.- A:III.2. Filtered sheaves of rings.- A:III.3. Gabber’s Theorem.- A:IV Homological algebra.- Summary.- A:IV.1. Basic facts in homological algebra.- A:IV.2. Auslander regular rings.- A:IV.3. Commutative algebra.- A:IV.4. Filtered Auslander regular rings.- A:V Complex analysis.- Summary.- A:V.2. Analysis on complex manifolds.- A:V.4. The local Milnor fibrations.- A:VI Analytic geometry.- Summary.- A:VI.1. Subanalytic sets.- A:VII Symplectic analysis.- Summary.- A:VII.1. Symplectic algebra.- A:VII:3. Lagrangian varieties.- A:VII.4. Lagrangian varieties in generic position.- References.- List of notations.

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