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Record Nr. |
UNINA9910154753203321 |
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Autore |
Gelbart Stephen S. |
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Titolo |
Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1975 |
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ISBN |
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Descrizione fisica |
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1 online resource (280 pages) |
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Collana |
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Annals of Mathematics Studies ; ; 262 |
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Disciplina |
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Soggetti |
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Representations of groups |
Automorphic forms |
Linear algebraic groups |
Adeles |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
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Sommario/riassunto |
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This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the |
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work the author emphasizes new examples and problems that remain open within the general theory.TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr? |
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2. |
Record Nr. |
UNINA9910782387203321 |
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Titolo |
150 years of quantum many-body theory [[electronic resource] ] : a festschrift in honour of the 65th birthdays of John W. Clark, Alpo J. Kallio, Manfred L. Rising, Sergio Rosati : UMIST, Manchester, UK, July 10-14, 2000 / / editors, Raymond F. Bishop, Klaus A. Gernoth, Niels R. Walet |
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Pubbl/distr/stampa |
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Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
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ISBN |
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1-281-95133-1 |
9786611951337 |
981-279-976-1 |
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Descrizione fisica |
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1 online resource (359 p.) |
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Collana |
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Series on advances in quantum many-body theory ; ; v. 5 |
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Altri autori (Persone) |
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BishopR. F (Raymond F.) |
GernothKlaus A |
WaletNiels R |
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Disciplina |
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Soggetti |
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Many-body problem |
Physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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CONTENTS; Series Editorial Board and Other Committees; Foreword by the Editors; Scientific CVs of the Honorees; John Walter Clark; Alpo J. Kallio; Manfred Ristig; Sergio Rosati; A Historical Perspective; The Music of the QMBT Quartet; Formal Aspects of Many-Body Theory; Diagrams |
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are Theoretical Physicist's Best Friends; Fourth Order Algorithms for Solving Diverse Many-Body Problems; Relativistic Quantum Dynamics of Many-Body Systems; Elastic N-body to N-body Scattering in the Hyperspherical Representation; A Generic Way to Look at Many-Body Theory; A Variational Coupled-Cluster Theory |
Nuclear and Subnuclear Physics The Nuclear Equation of State and Neutron Star Structure; To Dress or Not to Dress; Fermi Hypernetted Chain Equations and Nuclear Many-Body Physics; Nuclear Matter with the Auxiliary Field Diffusion Monte Carlo Method; Three-Body Force Effects in Few-Nucleon Systems; Correlations in Nuclear Matter with Two-Time Green's Functions; Weak Proton Capture on 3 He and the Solar Neutrino Problem; Generalized Momentum Distribution of Infinite and Finite Nucleon Systems; The Translationally Invariant Coupled Cluster Method with Applications to Nuclear Systems |
Mean Field Approach to Quark Matter in the NJL Model Effective Field Theory in Nuclear Many-Body Physics; Hyperspherical Methods for A > 4 Systems; Spin Systems; Ab initio Calculations of the Spin-Half XY Model; Quantum Antiferromagnets with Easy-Plane Anisotropy; Quantum Phase Transitions in Spin Systems; Quantum Fluids and Solids; Bose Condensation; Path Integral Monte Carlo Calculations of Symmetry-Breaking in Structural Phase Transitions; The Description of Strongly Interacting Systems Based on Jastrow Correlations and Configuration Interaction |
The Many-Boson System in One-Dimension: Application to 4 He The Ground State of Trapped Bosons Beyond the Gross-Pitaevskii Approximation; Pairing of Impurities in Quantum Fluids; Strongly Correlated Electrons; Spin Polarizations of Quantum Hall States; Electronic Molecules in Condensed Matter; The Metal-Insulator Transition in 2D and New Phases of Quantum Localisation; Related Subjects; Information Representation in the Multi-Layer Perceptron; Classical and Quantum Lyapunov Exponents in the Phase-Space Tomographic Approach; Author Index; Subject Index |
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Sommario/riassunto |
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In July 2000 a conference was held to honour the 65th birthdays of four of the leading international figures in the field of quantum many-body theory. The joint research careers of John Clark, Alpo Kallio, Manfred Ristig and Sergio Rosati total some 150 years, and this festschrift celebrated their achievements. These cover a remarkably wide spectrum. The topics in this book reflect that diversity, ranging from formal aspects to real systems, including nuclear and subnuclear systems, quantum fluids and solids, quantum spin systems and strongly correlated electron systems. The book collects more |
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