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[null,"1.","Record Nr.",null,"UNINA9910480099303321"]
[null,null,"Autore",null,"Bopp Nicole <1947->"]
[null,null,"Titolo",null,"Local zeta functions attached to the minimal spherical series for a class of symmetric spaces / / Nicole Bopp, Hubert Rubenthaler"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2005]"]
[{"$nulls":4},"©2005"]
[null,null,"ISBN",null,"1-4704-0422-2"]
[null,null,"Descrizione fisica",null,"1 online resource (250 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 821"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"515/.56"]
[null,null,"Soggetti",null,"Functions, Zeta"]
[{"$nulls":4},"Symmetric spaces"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 174, number 821 (first of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 227-230) and index."]
[null,null,"Nota di contenuto",null,"\"\"Table of Contents\"\"; \"\"Introduction\"\"; \"\"Chapter 1. A Class of Real Prehomogeneous Spaces\"\"; \"\"1.1. A class of graded algebras\"\"; \"\"1.2. Root systems\"\"; \"\"1.3. Complexification\"\"; \"\"1.4. Highest root in Î£\"\"; \"\"1.5. The first step for the descent\"\"; \"\"1.6. The descent\"\"; \"\"1.7. Generic elements in V[sup(+)]\"\"; \"\"1.8. Structure of the regular graded algebra (g, H[sub(0)])\"\"; \"\"1.9. Properties of the spaces E[sub(i,j)] (p, q)\"\"; \"\"1.10. Normalization of the Killing form\"\"; \"\"1.11. The relative invariant Î?[sub(0)]\"\"; \"\"1.12. The case k = 0\"\"; \"\"1.13. Properties of Î?[sub(0)]\"\""]
[{"$nulls":4},"\"\"1.14. The polynomials Î?[sub(j)]\"\"\"\"Chapter 2. The Orbits of G in V[sup(+)]\"\"; \"\"2.1. Representations of sl( 2, C)\"\"; \"\"2.2. First reduction\"\"; \"\"2.3. An involution which permutes the roots in E[sub(i,j)(+1,+1)\"\"; \"\"2.4. Construction of elements interchanging Î»[sub(i)] and Î»[sub(j)]\"\"; \"\"2.5. Quadratic forms\"\"; \"\"2.6. The G-orbits for Type III\"\"; \"\"2.7. The G-orbits for Type II\"\"; \"\"2.8. Signature of the quadratic forms qx[sub(i)],x[sub(j)]\"\"; \"\"2.9. Action of Z[sub(G)](I[sup(+)]) for Type I\"\"; \"\"2.10. The Gâ€?orbits for Type I\"\"; \"\"2.11. The classification\"\""]
[{"$nulls":4},"\"\"4.2. Two diffeomorphisms\"\"\"\"4.3. Isomorphisms between g(1), g (â€?1), V[sup(+)]( l ) and V[sup(-)](â€?1)\"\"; \"\"4.4. A first normalization and its consequence\"\"; \"\"4.5. A second normalization and its consequence\"\"; \"\"4.6. Integral formulas on V[sup(+)] and V[sup(-)]\"\"; \"\"4.7. Fourier "]
[{"$nulls":4},"transform of a quadratic character\"\"; \"\"4.8. A relation between T[sup(-)][sub(Ff)] and T[sup(+)][sub(f)]\"\"; \"\"Chapter 5. Functional Equation of the Zeta Functionfor Type I and II\"\"; \"\"5.1. Definition of the local Zeta functions\"\"; \"\"5.2. Existence of a functional equation for (AN, V[sup(+)])\"\""]
[{"$nulls":4},"\"\"6.5. Explicit functional equation for k = 0\"\""]