Foundations of algebraic analysis / by Masaki Kashiwara, Takahiro Kawai, and Tatsuo Kimura ; translated by Goro Kato.
Idioma: engjpn Editor: Princeton, N.J. : Princeton University Press, 1986Descripción: xii, 254 p. : ill. ; 24 cmISBN: 0691084130 (alk. paper) :Títulos uniformes: Daisū kaisekigaku no kiso. English Tema(s): Mathematical analysis | AlgebraOtra clasificación: 58G07 (32C38 35A27 46F15)Preface vii -- Notations xi -- Chapter I. Hyperfunctions [3] -- §1. Sheaf Theory [3] -- §2. Hyperfunctions as Boundary Values of Holomorphic -- Functions [21] -- Chapter II. Microfunctions [35] -- §1. Definition of Microfunctions [35] -- §2. Vanishing Theorems of Relative Cohomology Groups, Pure n-Codimensionality of R" with respect to (Pen etc. [51] -- §3. Fundamental Exact Sequences [60] -- §4. Examples [81] -- Chapter III. Fundamental Operations [101] -- §1. Product, Restriction, and Substitution [101] -- §2. Integration [116] -- §3. Analyticity of Feynman Integrals [131] -- §4. Microlocal Operators and the Fundamental Theorem of Sato [135] -- §5. The Wave Equation [145] -- §6. Fundamental Solutions for Regularly Hyperbolic Operators [161] -- §7. The Flabbiness of the Sheaf of Microfunctions [168] -- §8. Appendix [179] -- Chapter IV. Microdifferential Operators [191] -- §1. Definition of the Microdifferential Operator and Its Fundamental Properties [191] -- §2. Quantized Contact Transformation for Microdifferential Operators [216] -- §3. Structures of Systems of Microdifferential Equations [228] -- -- References [248] -- Index [252] --
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
Libros
|
Instituto de Matemática, CONICET-UNS | Últimas adquisiciones | 58 K19f (Browse shelf) | Available | A-9406 |
Browsing Instituto de Matemática, CONICET-UNS shelves, Shelving location: Últimas adquisiciones Close shelf browser
Traducción de: Daisū kaisekigaku no kiso.
Includes index.
Bibliografía: p. 248-251.
Preface vii --
Notations xi --
Chapter I. Hyperfunctions [3] --
§1. Sheaf Theory [3] --
§2. Hyperfunctions as Boundary Values of Holomorphic --
Functions [21] --
Chapter II. Microfunctions [35] --
§1. Definition of Microfunctions [35] --
§2. Vanishing Theorems of Relative Cohomology Groups, Pure n-Codimensionality of R" with respect to (Pen etc. [51] --
§3. Fundamental Exact Sequences [60] --
§4. Examples [81] --
Chapter III. Fundamental Operations [101] --
§1. Product, Restriction, and Substitution [101] --
§2. Integration [116] --
§3. Analyticity of Feynman Integrals [131] --
§4. Microlocal Operators and the Fundamental Theorem of Sato [135] --
§5. The Wave Equation [145] --
§6. Fundamental Solutions for Regularly Hyperbolic Operators [161] --
§7. The Flabbiness of the Sheaf of Microfunctions [168] --
§8. Appendix [179] --
Chapter IV. Microdifferential Operators [191] --
§1. Definition of the Microdifferential Operator and Its Fundamental Properties [191] --
§2. Quantized Contact Transformation for Microdifferential Operators [216] --
§3. Structures of Systems of Microdifferential Equations [228] --
--
References [248] --
Index [252] --
MR, REVIEW #
Click on an image to view it in the image viewer
There are no comments on this title.