Analytic D-Modules and Applications

Bibliographic Details
Main Author: Björk, Jan-Erik
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1993, 1993
Edition:1st ed. 1993
Series:Mathematics and Its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Analytic D-Modules and Applications  |h Elektronische Ressource  |c by Jan-Erik Björk 
250 |a 1st ed. 1993 
260 |a Dordrecht  |b Springer Netherlands  |c 1993, 1993 
300 |a XIII, 581 p  |b online resource 
505 0 |a 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 
653 |a Manifolds (Mathematics) 
653 |a Global analysis (Mathematics) 
653 |a Global Analysis and Analysis on Manifolds 
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490 0 |a Mathematics and Its Applications 
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