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Record Nr. |
UNINA9910480540903321 |
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Autore |
Kobayashi Toshiyuki <1962-> |
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Titolo |
The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (132 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 213, Number 1000 |
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Disciplina |
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Soggetti |
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Representations of Lie groups |
Schrödinger equation |
Electronic books. |
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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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"Volume 213, Number 1000 (first of 5 numbers)." |
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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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""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"" |
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