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| 005 - FECHA Y HORA DE LA ULTIMA TRANSACCIÓN |
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20160812080033.0 |
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110222s2011 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9780817681081 |
| -- |
978-0-8176-8108-1 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
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| Classification number |
QA403.5-404.5 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
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| Classification number |
515.2433 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
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| Personal name |
Duistermaat, J.J. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
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| Title |
Fourier Integral Operators |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by J.J. Duistermaat. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Boston : |
| Name of producer, publisher, distributor, manufacturer |
Birkhäuser Boston, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
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| Extent |
IX, 142 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
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| Series statement |
Modern Birkhäuser Classics |
| 505 0# - NOTA DE CONTENIDO |
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| Formatted contents note |
Preface -- 0. Introduction -- 1. Preliminaries -- 1.1 Distribution densities on manifolds -- 1.2 The method of stationary phase -- 1.3 The wave front set of a distribution -- 2. Local Theory of Fourier Integrals -- 2.1 Symbols -- 2.2 Distributions defined by oscillatory integrals -- 2.3 Oscillatory integrals with nondegenerate phase functions -- 2.4 Fourier integral operators (local theory) -- 2.5 Pseudodifferential operators in Rn -- 3. Symplectic Differential Geometry -- 3.1 Vector fields -- 3.2 Differential forms -- 3.3 The canonical 1- and 2-form T* (X) -- 3.4 Symplectic vector spaces -- 3.5 Symplectic differential geometry -- 3.6 Lagrangian manifolds -- 3.7 Conic Lagrangian manifolds -- 3.8 Classical mechanics and variational calculus -- 4. Global Theory of Fourier Integral Operators -- 4.1 Invariant definition of the principal symbol -- 4.2 Global theory of Fourier integral operators -- 4.3 Products with vanishing principal symbol -- 4.4 L2-continuity -- 5. Applications -- 5.1 The Cauchy problem for strictly hyperbolic differential operators with C-infinity coefficients -- 5.2 Oscillatory asymptotic solutions. Caustics -- References. |
| 520 ## - NOTA DE RESUMEN, ETC. |
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| Summary, etc. |
This volume is a useful introduction to the subject of Fourier integral operators and is based on the author's classic set of notes. Covering a range of topics from Hörmander’s exposition of the theory, Duistermaat approaches the subject from symplectic geometry and includes applications to hyperbolic equations (= equations of wave type) and oscillatory asymptotic solutions which may have caustics. This text is suitable for mathematicians and (theoretical) physicists with an interest in (linear) partial differential equations, especially in wave propagation, resp. WKB-methods. Familiarity with analysis (distributions and Fourier transformation) and differential geometry is useful. Additionally, this book is designed for a one-semester introductory course on Fourier integral operators aimed at a broad audience. This book remains a superb introduction to the theory of Fourier integral operators. While there are further advances discussed in other sources, this book can still be recommended as perhaps the very best place to start in the study of this subject. —SIAM Review This book is still interesting, giving a quick and elegant introduction to the field, more adapted to nonspecialists. —Zentralblatt MATH The book is completed with applications to the Cauchy problem for strictly hyperbolic equations and caustics in oscillatory integrals. The reader should have some background knowledge in analysis (distributions and Fourier transformations) and differential geometry. —Acta Sci. Math. |
| 596 ## - |
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| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Fourier analysis. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Integral equations. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Operator theory. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Differential equations, partial. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Fourier Analysis. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Integral Equations. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Operator Theory. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Partial Differential Equations. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9780817681074 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
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| Uniform title |
Modern Birkhäuser Classics |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
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| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8108-1">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-8176-8108-1</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
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| Koha item type |
Libro Electrónico |
