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The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano
| The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 512/.582 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie groups
Schrödinger equation |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0617-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480540903321 |
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano
| The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 512/.582 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie groups
Schrödinger equation |
| ISBN | 1-4704-0617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788866803321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano
| The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) / / Toshiyuki Kobayashi, Gen Mano |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (132 p.) |
| Disciplina | 512/.582 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie groups
Schrödinger equation |
| ISBN | 1-4704-0617-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910828112103321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""0. Introduction""; ""1. Notation""; ""1. Î?-stable parabolic subalgebra""; ""2. good range, fair range""; ""3. cohomological parabolic induction""; ""4. results from Zuckerman and Vogan""; ""5. results from Harish-Chandra and Oshima-Matsuki""; ""2. Main results""; ""1. G = Spfaq)""; ""2. main theorem for G = Sp(p,q)""; ""3. G = U(p,q)""; ""4. main theorem for G = U(p,q)""; ""5. G = SO0(p,q)""; ""6. main theorem for G = SOo( p,q)""; ""7. list and figures of various conditions on parameters""; ""8. remarks""; ""3. Further notations and preliminary results""
""1. Jantzen-Zuckerman's translation functor""""2. induction by stages""; ""3. definition of A (λ[omitted] λ')""; ""4. A (λ[omitted] λ') and derived functor modules""; ""5. some symbols""; ""4. Some explicit formulas on K multiplicities""; ""1. preliminaries""; ""2. some alternating polynomials""; ""3. result in quaternionic case""; ""4. result in complex case""; ""5. result in real case""; ""6. some auxiliary lemmas""; ""7. proof for quarternionic case""; ""8. proof for complex case""; ""9. proof for real case"" ""10. verification of (6.5.4)(c)""""11. proof of Corollary(6.4.1)""; ""7. Proof of vanishing results outside the fair range""; ""1. proof in complex case""; ""2. vanishing result in quaternionic case""; ""3. maximal parabolic case""; ""4. general parabolic case""; ""8. Proof of the inequivalence results""; ""1. quarternionic case""; ""2. orthogonal case""; ""References"" |
| Record Nr. | UNINA-9910480697603321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""0. Introduction""; ""1. Notation""; ""1. Î?-stable parabolic subalgebra""; ""2. good range, fair range""; ""3. cohomological parabolic induction""; ""4. results from Zuckerman and Vogan""; ""5. results from Harish-Chandra and Oshima-Matsuki""; ""2. Main results""; ""1. G = Spfaq)""; ""2. main theorem for G = Sp(p,q)""; ""3. G = U(p,q)""; ""4. main theorem for G = U(p,q)""; ""5. G = SO0(p,q)""; ""6. main theorem for G = SOo( p,q)""; ""7. list and figures of various conditions on parameters""; ""8. remarks""; ""3. Further notations and preliminary results""
""1. Jantzen-Zuckerman's translation functor""""2. induction by stages""; ""3. definition of A (λ[omitted] λ')""; ""4. A (λ[omitted] λ') and derived functor modules""; ""5. some symbols""; ""4. Some explicit formulas on K multiplicities""; ""1. preliminaries""; ""2. some alternating polynomials""; ""3. result in quaternionic case""; ""4. result in complex case""; ""5. result in real case""; ""6. some auxiliary lemmas""; ""7. proof for quarternionic case""; ""8. proof for complex case""; ""9. proof for real case"" ""10. verification of (6.5.4)(c)""""11. proof of Corollary(6.4.1)""; ""7. Proof of vanishing results outside the fair range""; ""1. proof in complex case""; ""2. vanishing result in quaternionic case""; ""3. maximal parabolic case""; ""4. general parabolic case""; ""8. Proof of the inequivalence results""; ""1. quarternionic case""; ""2. orthogonal case""; ""References"" |
| Record Nr. | UNINA-9910788877003321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""0. Introduction""; ""1. Notation""; ""1. Î?-stable parabolic subalgebra""; ""2. good range, fair range""; ""3. cohomological parabolic induction""; ""4. results from Zuckerman and Vogan""; ""5. results from Harish-Chandra and Oshima-Matsuki""; ""2. Main results""; ""1. G = Spfaq)""; ""2. main theorem for G = Sp(p,q)""; ""3. G = U(p,q)""; ""4. main theorem for G = U(p,q)""; ""5. G = SO0(p,q)""; ""6. main theorem for G = SOo( p,q)""; ""7. list and figures of various conditions on parameters""; ""8. remarks""; ""3. Further notations and preliminary results""
""1. Jantzen-Zuckerman's translation functor""""2. induction by stages""; ""3. definition of A (λ[omitted] λ')""; ""4. A (λ[omitted] λ') and derived functor modules""; ""5. some symbols""; ""4. Some explicit formulas on K multiplicities""; ""1. preliminaries""; ""2. some alternating polynomials""; ""3. result in quaternionic case""; ""4. result in complex case""; ""5. result in real case""; ""6. some auxiliary lemmas""; ""7. proof for quarternionic case""; ""8. proof for complex case""; ""9. proof for real case"" ""10. verification of (6.5.4)(c)""""11. proof of Corollary(6.4.1)""; ""7. Proof of vanishing results outside the fair range""; ""1. proof in complex case""; ""2. vanishing result in quaternionic case""; ""3. maximal parabolic case""; ""4. general parabolic case""; ""8. Proof of the inequivalence results""; ""1. quarternionic case""; ""2. orthogonal case""; ""References"" |
| Record Nr. | UNINA-9910829049703321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh
| Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (117 pages) |
| Disciplina | 12/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Broken symmetry (Physics)
Operator spaces Banach spaces Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2615-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480013803321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh
| Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (117 pages) |
| Disciplina | 12/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Broken symmetry (Physics)
Operator spaces Banach spaces Group theory |
| ISBN | 1-4704-2615-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910798789303321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh
| Symmetry breaking for representations of rank one orthogonal groups / / Toshiyuki Kobayashi, Birgit Speh |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (117 pages) |
| Disciplina | 12/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Broken symmetry (Physics)
Operator spaces Banach spaces Group theory |
| ISBN | 1-4704-2615-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910819178803321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||