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Acting in Fiberings over Manifolds with Boundary by Victor Ivrii

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**About this book :- **
**Precise Spectral Asymptotics for Elliptic Operators ** written by
** Victor Ivrii**.

This book is devoted to the determination of the precise asymptotics for eigenvalues of certain elliptic selfadjoint operators acting in fiberings over compact m~n~folds with boundary and for more general elliptic selfadJoint spectral problems. The precise asymptotics for restriction to the diagonal of the Schwartz kernels of the corresponding spectral projectors is derived too.

(Victor Ivrii)

**Book Detail :- **
** Title: ** Precise Spectral Asymptotics for Elliptic Operators
** Edition: **
** Author(s): ** Victor Ivrii
** Publisher: ** Springer-Verlag Berlin Heidelberg
** Series: ** Lecture Notes in Mathematics 1100
** Year: ** 1984
** Pages: ** 243
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-3-540-13361-2,978-3-540-38911-8
** Country: ** Canada
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**About Author :- **

The author ** Victor Ivrii **
is a Soviet, Canadian mathematician who specializes in analysis, microlocal analysis, spectral theory and partial differential equations. He is a professor at the University of Toronto Department of Mathematics. He was an invited speaker at International Congress of Mathematicians, Helsinki—1978 and Berkeley—1986. He graduated from Physical Mathematical School at Novosibirsk State University in 1965, received his University Diploma (equivalent to MSci) in 1970 and PhD in 1973 in Novosibirsk State University. He defended his Doktor nauk thesis in St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences in 1982.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Microlocal Analysis, Sharp Spectral Asymptotics & Applications I by Victor Ivrii **

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** • Download PDF Microlocal Analysis, Sharp Spectral Asymptotics & Applications III by Victor Ivrii **

** • Download PDF Microlocal Analysis, Sharp Spectral Asymptotics & Applications IV by Victor Ivrii **

** • Download PDF Microlocal Analysis, Sharp Spectral Asymptotics & Applications V by Victor Ivrii **

** • Download PDF Precise Spectral Asymptotics for Elliptic Operators by Victor Ivrii **

** • Download PDF Partial Differential Equations by Victor Ivrii **

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**Book Contents :- **
**Precise Spectral Asymptotics for Elliptic Operators ** written by
** Victor Ivrii**
cover the following topics.
'

Introduction

PART-I THE ASYMPTOTICS FOR SECOND-ORDER OPERATORS

0. Main theorems

1. The L.Boutet de Monvel operator algebra and selfadjoint projectors

2. The "Wave" equation: finite speed of propagation of singularities

3. The normality of the "great" singularity

4. Calculation of the "great" singularity

5. Proofs of the main theorems

Appendices A - E

Part-II THE ASYMPTOTICS FOR MISCELLANEOUS PROBLEMS

6. The asymptotics for first-order operators

7. The asymptotics for second-order spectral problems

8. The asymptotics for higher order spectral problems related to the Laplace-Beltrami operator

Appendix F

List of notations

Subject index

References

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