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Spectral theory of linear differential operators and comparison algebras /
The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
©1987.
|
| Colección: | London Mathematical Society lecture note series ;
76. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Cordes, H. O. |q (Heinz Otto), |d 1925- | |
| 245 | 1 | 0 | |a Spectral theory of linear differential operators and comparison algebras / |c Heinz Otto Cordes. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©1987. | ||
| 300 | |a 1 online resource (356 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 76 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators. | ||
| 505 | 0 | |a Cover -- Title -- Copyright -- Preface -- Contents -- Chapter 1. Abstract spectral theory in Hilbert spaces -- 1.1. Unbounded linear operators on Banach and Hilbert spaces -- 1.2. Self-adjoint extensions of hermitian operators -- 1.3. On the spectral theorem for self-adjoint operators. -- 1.4. Proof of the spectral theorem -- 1.5. A result on powers of positive operators -- 1.6. On HS-chains 2 -- Chapter 2. Spectral theory of differential operators -- 2.1. Linear differential operators on a subdomain of ln -- 2.2. Generalized boundary problems. | |
| 505 | 8 | |a Ordinary differential expressions -- 2.3. Singular endpoints of a 2r-th order Sturm-Liouville problem -- 2.4. The spectral theorem for a second order expression -- Chapter 3. Second order elliptic expressions on manifolds -- 3.1. 2-nd order partial differential expressions on manifolds -- Weyl!s lemma -- Dirichlet operator -- 3.2. Boundary regularity for the Dirichlet realization -- 3.3. Compactness of the resolvent of the Friedrichs extension -- 3.4. A Green's function for H and Hd and a mean value inequality -- 3.5. Harnack inequality -- Dirichlet problem. | |
| 505 | 8 | |a Maximum principle -- 3.6. Change of dependent variable -- normal forms -- positivity of the Green's function -- Chapter 4. Essential self-adjointness of the Minimal Operator -- 4.1. Essential self-adjointness of powers of H0 -- 4.2. Essential self-adjointness of HQ -- 4.3. Proof of theorem 1.1 -- 4.4. Proof of Frehse's theorem -- 4.5. More criteria for essential self-adjointness -- Chapter 5. C -Comparison algebras -- 5.1. Comparison operators and comparison algebras -- 5.2. Differential expressions of order _<2. | |
| 505 | 8 | |a 5.3. Compactness criteria for commutators -- 5.4. Comparison algebras with compact commutators -- 5.5. A discussion of one-dimensional problems -- 5.6. An expansion for expressions within reach of an algebra C -- Chapter 6. Minimal comparison algebra and wave front space. -- 6.1. The local invariance of the minimal comparison algebra -- 6.2. The wave front space -- 6.3. Differential expressions within reach of the algebra J0 -- 6.4. The Sobolev estimate for elliptic expressions expressions on a compact -- Chapter 7. The secondary symbol space. | |
| 505 | 8 | |a 7.1. The symbol space of a general comparison algebra -- 7.2. The space flAw, and some examples -- 7.3. Stronger conditions and more detail on M\W . -- 7.4. More structure of ffi, and more on examples -- Chapter 8. Comparison algebras with non-compact commutators -- 8.1. An algebra invariant under a discrete translation group -- 8.2. A C -algebra on a poly-cylinder -- 8.3. Algebra surgery -- 8.4. Complete Riemannian manifolds with cylindrical ends -- Chapter 9. H -Algebras -- higher order s operators within reach. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential operators. | |
| 650 | 0 | |a Linear operators. | |
| 650 | 6 | |a Opérateurs différentiels. | |
| 650 | 6 | |a Opérateurs linéaires. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Differential operators. |2 fast |0 (OCoLC)fst00893496 | |
| 650 | 7 | |a Linear operators. |2 fast |0 (OCoLC)fst00999087 | |
| 776 | 0 | 8 | |i Print version: |a Cordes, H.O. (Heinz Otto), 1925- |t Spectral theory of linear differential operators and comparison algebras. |d Cambridge : Cambridge University Press, 1987 |z 9780511662836 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 76. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552524 |z Texto completo |
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