Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjöstrand.

By:

Grigis, Alain

Contributor(s):

Sjöstrand, J. (Johannes)

Material type: Text

TextSeries: London Mathematical Society lecture note series ; 196.Publication details: Cambridge ; New York, NY : Cambridge University Press, ©1994.Description: 1 online resource (151 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781107088566
1107088569
9780511721441
0511721447
1139884921
9781139884921
1107100518
9781107100510
1107102995
9781107102996
1107094747
9781107094741
1107091497
9781107091498

Subject(s): Genre/Form:

Electronic books.

Additional physical formats: Print version:: Microlocal analysis for differential operators.DDC classification:

515/.7242 22

LOC classification:

QA329.4 .G75 1994eb

Other classification:

31.49

Online resources:

Click here to access online

Contents:

1. Symbols and oscillatory integrals -- 2. The method of stationary phase -- 3. Pseudodifferential operators -- 4. Application to elliptic operators and L[superscript 2] continuity -- 5. Local symplectic geometry I (Hamilton-Jacobi theory) -- 6. The strictly hyperbolic Cauchy problem construction of a parametrix -- 7. The wavefront set (singular spectrum) of a distribution -- 8. Propagation of singularities for operators of real principle type -- 9. Local symplectic geometry II -- 10. Canonical transformations of pseudodifferential operators -- 11. Global theory of Fourier integral operators -- 12. Spectral theory for elliptic operators.

Summary: This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature.

Item type:

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 145-148) and indexes.

Print version record.

This short introduction to microlocal analysis is presented, in the spirit of Hörmander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjöstrand emphasise the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions. The contents of the book correspond to a graduate course given many times by the authors. It should prove to be useful to mathematicians and theoretical physicists, either to enrich their general knowledge of this area, or as preparation for the current research literature.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide

There are no comments on this title.

to post a comment.