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Shubin, M. A. (Mikhail Aleksandrovich), 1944-
Psevdodifferen︠t︡sialʹnye operatory i spektralʹna︠i︡a teori︠i︡a. English
Pseudodifferential operators and spectral theory / M.A. Shubin ; translated from the Russian by Stig I. Andersson
2nd ed
Berlin ; New York : Springer, c2001
book jacket
Location Call Number Status
 4th Floor  QA381 .S4813 2001    AVAILABLE
Subject(s) Pseudodifferential operators
Spectral theory (Mathematics)
Physical Description xii, 288 p. : ill. ; 24 cm
Note Includes bibliographical references (p. [275]-283) and indexes
Contents Ch. I. Foundations of [Psi]DO Theory. 1. Oscillatory Integrals. 2. Fourier Integral Operators (Preliminaries). 3. The Algebra of Pseudodifferential Operators and Their Symbols. 4. Change of Variables and Pseudodifferential Operators on Manifolds. 5. Hypoellipticity and Ellipticity. 6. Theorems on Boundedness and Compactness of Pseudodifferential Operators. 7. The Sobolev Spaces. 8. The Fredholm Property, Index and Spectrum -- Ch. II. Complex Powers of Elliptic Operators. 9. Pseudodifferential Operators with Parameter. The Resolvent. 10. Definition and Basic Properties of the Complex Powers of an Elliptic Operator. 11. The Structure of the Complex Powers of an Elliptic Operator. 12. Analytic Continuation of the Kernels of Complex Powers
NOTE 518638

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