03264nam 2200577 450 991048054090332120180613001303.01-4704-0617-9(CKB)3360000000465184(EBL)3114223(SSID)ssj0000889201(PQKBManifestationID)11523074(PQKBTitleCode)TC0000889201(PQKBWorkID)10875539(PQKB)11126727(MiAaPQ)EBC3114223(PPN)195418891(EXLCZ)99336000000046518420150417h20112011 uy 0engur|n|---|||||txtccrThe Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q) /Toshiyuki Kobayashi, Gen ManoProvidence, Rhode Island :American Mathematical Society,2011.©20111 online resource (132 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 213, Number 1000"Volume 213, Number 1000 (first of 5 numbers)."0-8218-4757-0 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 213, Number 1000.Representations of Lie groupsSchrödinger equationElectronic books.Representations of Lie groups.Schrödinger equation.512/.582Kobayashi Toshiyuki1962-919086Mano Gen1977-MiAaPQMiAaPQMiAaPQBOOK9910480540903321The Schrödinger model for the minimal representation of the indefinite orthogonal group O(p, q)2087105UNINA