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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. |
UNINA9910789684903321 |
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Autore |
Brook-Shepherd Gordon <1918-2004, > |
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Titolo |
Uncrowned emperor : the life and times of Otto von Habsburg / / Gordon Brook-Shepherd |
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Pubbl/distr/stampa |
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London, [England] ; ; New York, [New York] : , : Hambledon and London, , 2003 |
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©2003 |
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ISBN |
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1-283-20178-X |
9786613201782 |
0-8264-3280-8 |
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Descrizione fisica |
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1 online resource (285 p.) |
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Disciplina |
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Soggetti |
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Pretenders to the throne - Austria |
Austria Biography |
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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 index. |
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Nota di contenuto |
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Contents; Illustrations; Introduction; 1 A Shaky Inheritance; 2 The Perfect Match; 3 Collapse: A Child's Eye View; 4 Exile at Home: Eckartsau; 5 Swiss Dramas; 6 'Your Majesty'; 7 The Conundrum of the Crown; 8 Meltdown in Vienna; 9 Fatal Encounter; 10 Takeover by Telephone; 11 Homecoming; 12 New Horizons; 13 Across the Water; 14 Dropping Anchor; 15 Mr Europe; 16 Balance Sheet; 17 Royal Endgame; |
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Notes; Bibliography; Index |
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Sommario/riassunto |
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The Austro-Hungarian Empire dominated central Europe until 1918, when the last Habsburg Emperor, Karl, fled into exile. Karl's death in 1921 made his nine-year-old son Otto head of the Hapsburg family, a position he has now held for over eighty years. Born heir presumptive to an empire that stretched from the Tyrol to Transylvania, and from Poland to Sarajevo, Otto von Habsburg's life has both affected and been reflected in some of the most dramatic and historic events of the twentieth century. As a four year old in 1916, he walked in the funeral procession of the Emperor Franz Josef. Otto von |
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