| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910154743403321 |
|
|
Autore |
Boutet de Monvel L. |
|
|
Titolo |
The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Princeton, NJ : , : Princeton University Press, , [2016] |
|
©1981 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (168 pages) |
|
|
|
|
|
|
Collana |
|
Annals of Mathematics Studies ; ; 240 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Toeplitz operators |
Spectral theory (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations.If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete |
|
|
|
|
|
|
|
|
|
|
|
|
|
spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol.It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds. |
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910817827003321 |
|
|
Titolo |
Cassius Dio : the impact of violence, war, and civil war / / edited by Carsten H. Lange, Andrew G. Scott |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Leiden ; ; Boston : , : Brill, , [2020] |
|
©2020 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
|
|
|
|
|
Collana |
|
Historiography of Rome and its empire ; ; Volume 8 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Civil war - Rome - Historiography |
Rome Republic, 265-30 B.C Historiography |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
|
|
|
|
|
Nota di contenuto |
|
Violence as an Interpretive Category in Cassius Dio: the Terror under Sulla in 82 BCE / Piotr Berdowski -- Gossip of Violence and Violence of Gossip: Livia's Lament and Its Remedy in Cassius Dio's Severan Context / Joel Allen -- Causation and Morality: Cassius Dio on the Origins of Rome's External Wars under the Republic / John Rich -- Caesar's Campaigns in Cassius Dio's Late Republic / Mads Ortving Lindholmer -- Cassius Dio and the Roman Empire: the Impact of the Severan Wars on Dio's Narrative / Estelle Bertrand -- "A Warlike Man" - Cassius Dio's Perception and Interpretation of the Imperial Military persona / Wolfgang Havener -- The War Comes Home: Rome and Romans during Civil Conflict in the Roman History / Alex Imrie -- Talking Heads: the Rostra as a Conspicuous Civil War Monument / Carsten Hjort Lange -- |
|
|
|
|
|
|
|
|
|
|
|
Cassius Dio, Cicero and the Complexity of Civil War / Ayelet Peer -- Cassius Dio on Senatorial Activities as a Factor of Political Instability and Civil War / Konstantin V. Markov -- Cassius Dio and Senatorial Memory of Civil War in the 190s / Adam M. Kemezis -- Cassius Dio, and Civil War / Sulochana R. Asirvatham -- "If You Do Wrong, You Will Be King!": the Civil War Victor in Cassius Dio / Josiah Osgood -- Civil War and Governmental Change: From the Achievements of Augustus to the Failures of the Severans / Andrew G. Scott. |
|
|
|
|
|
|
Sommario/riassunto |
|
Cassius Dio: The Impact of Violence, War, and Civil War is part of a renewed interest in the Roman historian Cassius Dio. This volume focuses on Dio’s approaches to foreign war and stasis as well as civil war. The impact of war on Rome as well as on the history of Rome has long be recognised by scholars, and adding to that, recent years have seen an increasing interest in the impact of civil war on Roman society. Dio’s views on violence, war, and civil war are an inter-related part of his overall project, which sought to understand Roman history on its own historical and historiographical terms and within a long-range view of the Roman past that investigated the realities of power. |
|
|
|
|
|
|
|
| |