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Field name	Details
Dewey Class	514.74
Title	Analytic D-Modules and Applications ([EBook] /) / by Jan-Erik Björk.
Author	Björk, Jan-Erik
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1993.
Physical Details	XIII, 581 p. : online resource.
Series	Mathematics and its applications ; 247
ISBN	9789401707176
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-0717-6
Links to Related Works	Subject References: Global Analysis and Analysis on Manifolds . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematics . Authors: Björk, Jan-Erik . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 514.74 .

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Analytic D-Modules and Applications

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