Precise Spectral Asymptotics for Elliptic Operators
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.
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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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