عنوان

Microlocal Analysis and Precise Spectral Asymptotics

شابک

9783642083075

شابک

9783662124963

شماره

b407033

عنوان اصلي

Microlocal Analysis and Precise Spectral Asymptotics

نام عام مواد

[Book]

نام نخستين پديدآور

by Victor Ivrii.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Springer Monographs in Mathematics,

شاپا ي ISSN فروست

1439-7382

متن يادداشت

0. Introduction -- I. Semiclassical Microlocal Analysis -- 1. Introduction to Semiclassical Microlocal Analysis -- 2. Propagation of Singularities in the Interior of a Domain -- 3. Propagation of Singularities near the Boundary -- II. Local and Microlocal Semiclassical Asymptotics -- 4. LSSA in the Interior of a Domain -- 5. Standard LSSA near the Boundary -- 6. Schrödinger Operators with Strong Magnetic Field -- 7. Dirac Operators with Strong Magnetic Field -- III. Estimates of the Spectrum -- 8. Estimates of the Negative Spectrum -- 9. Estimates of the Spectrum in an Interval -- IV. Asymptotics of Spectra -- 10. Weylian Asymptotics of Spectra -- 11. Schrödinger, Dirac Operators with Strong Magnetic Field -- 12. Miscellaneous Asymptotics -- References.

بدون عنوان

0

متن يادداشت

Devoted to the methods of microlocal analysis applied to spectral asymptotics with accurate remainder estimates, this long awaited book develops the very powerful machinery of local and microlocal semiclassical spectral asymptotics, as well as methods of combining these asymptotics with spectral estimates. The rescaling technique, an easy to use and very powerful tool, is presented. Many theorems, considered till now as independent and difficult, are now just special cases of easy corollaries of the theorems proved in this book. Most of the results and their proofs are as yet unpublished. Part 1 considers semiclassical microlocal analysis and propagation of singularities inside the domain and near the boundary. Part 2 is on local and microlocal semiclassical spectral asymptotics for general operators and Schrödinger and Dirac operators. After a synthesis in Part 3, the real fun begins in Part 4: the main theorems are applied and numerous results, both known and new, are recovered with little effort. Then, in Chapter 12, non-Weyl asymptotics are obtained for operators in domains with thick cusps, degenerate operators, for spectral Riesz means for operators with singularities. Most of the results and almost all the proofs were never published.

شماره استاندارد بين المللي کتاب و موسيقي

9783642083075

عنوان

Springer eBooks

موضوع مستند نشده

Differential equations, Partial.

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Ivrii, Victor.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307155700.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y