The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano
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| Autore: |
Kobayashi Toshiyuki <1962->
|
| Titolo: |
The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (132 p.) |
| Disciplina: | 512/.582 |
| Soggetto topico: | Representations of Lie groups |
| Schrödinger equation | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | ManoGen <1977-> |
| Note generali: | "Volume 213, Number 1000 (first of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""3.5. Proof of Theorem 3.1.1""""Chapter 4. Radial part of the inversion""; ""4.1. Result of this chapter""; ""4.2. Proof of Theorem 4.1.1 (1)""; ""4.3. Preliminary results on multiplier operators""; ""4.4. Reduction to Fourier analysis""; ""4.5. Kernel function Kl,k""; ""4.6. Proof of Theorem 4.1.1 (2)""; ""Chapter 5. Main theorem""; ""5.1. Result of this chapter""; ""5.2. Radon transform for the isotropic cone C""; ""5.3. Spectra of K'-invariant operators on Sp-2Sq-2""; ""5.4. Proof of Theorem 5.1.1""; ""5.5. Proof of Lemma 5.4.2 (Hermitian case q=2)""; ""5.6. Proof of Lemma 5.4.2 (p,q>2)"" |
| ""Chapter 6. Bessel distributions""""6.1. Meijer's G-distributions""; ""6.2. Integral expression of Bessel distributions""; ""6.3. Differential equations for Bessel distributions""; ""Chapter 7. Appendix: special functions""; ""7.1. Riesz distribution x+""; ""7.2. Bessel functions J, I, K, Y""; ""7.3. Associated Legendre functions P""; ""7.4. Gegenbauer polynomials Cl""; ""7.5. Spherical harmonics Hj(Rm) and branching laws""; ""7.6. Meijer's G-functions Gp,qm,n(to1.5. x |to1.5. a1, @let@token , ap b1, @let@token , bq)to1.5.""; ""7.7. Appell's hypergeometric functions F1, F2, F3, F4"" | |
| ""7.8. Hankel transform with trigonometric parameters""""7.9. Fractional integral of two variables""; ""Bibliography""; ""List of Symbols""; ""Index"" | |
| Titolo autorizzato: | The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) |
| ISBN: | 1-4704-0617-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480540903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 213, Number 1000.