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＜電子ブック＞
Analytic D-Modules and Applications / by Jan-Erik Björk
(Mathematics and Its Applications ; 247)

版	1st ed. 1993.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1993
本文言語	英語
大きさ	XIII, 581 p : online resource
著者標目	*Björk, Jan-Erik author SpringerLink (Online service)
件　名	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Global Analysis and Analysis on Manifolds
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-94-017-0717-6

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