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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II: Functional Methods and Eigenvalue Asymptotics - Hardcover
Synopsis
The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory.
In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied.
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About the Author
VICTOR IVRII is a professor of mathematics at the University of Toronto. His areas of specialization are analysis, microlocal analysis, spectral theory, partial differential equations and applications to mathematical physics. He proved the Weyl conjecture in 1979, and together with Israel M. Sigal he justified the Scott correction term for heavy atoms and molecules in 1992. He is a Fellow of the Royal Society of Canada (since 1998) and of American Mathematical Society (since 2012).
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2019
- ISBN 10 3030305406
- ISBN 13 9783030305406
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages544
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Microlocal Analysis and Precise Spectral Asymptotics II. Functional Methods and Eigenvalue Asymptotics.
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II
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ISBN 10: 3030305406
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in 'small' domains to consider domains with singularities of different kinds.In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, andmultiparticle quantum theory.In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied. 548 pp. Englisch. Seller Inventory # 9783030305406
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II: Functional Methods and Eigenvalue Asymptotics
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Research monograph for researchers and graduate students in Mathematics and Mathematical PhysicsMost comprehensive work about the topicUse of technique, developed by the author during more than 40 yearsVICTOR IVRI. Seller Inventory # 448678437
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications II : Functional Methods and Eigenvalue Asymptotics
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in 'small' domains to consider domains with singularities of different kinds.In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, andmultiparticle quantum theory.In this volume the local spectral asymptotics of Volume I in the regular part of the domain are combined with variational estimates in the vicinity of singularities, and global asymptotics are derived in the general form. They are then applied to multiple cases and asymptotics with respect to a spectral parameter. Finally, cases in which only general methods but not the results can be applied (non-standard asymptotics) are studied. Seller Inventory # 9783030305406
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications: Functional Methods and Eigenvalue Asymptotics: Vol 2
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