LEADER 03262nam 2200577 450 001 9910828112103321 005 20180613001303.0 010 $a1-4704-0617-9 035 $a(CKB)3360000000465184 035 $a(EBL)3114223 035 $a(SSID)ssj0000889201 035 $a(PQKBManifestationID)11523074 035 $a(PQKBTitleCode)TC0000889201 035 $a(PQKBWorkID)10875539 035 $a(PQKB)11126727 035 $a(MiAaPQ)EBC3114223 035 $a(RPAM)16802363 035 $a(PPN)195418891 035 $a(EXLCZ)993360000000465184 100 $a20150417h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Schro?dinger model for the minimal representation of the indefinite orthogonal group O(p, q) /$fToshiyuki Kobayashi, Gen Mano 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (132 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 213, Number 1000 300 $a"Volume 213, Number 1000 (first of 5 numbers)." 311 $a0-8218-4757-0 320 $aIncludes bibliographical references and index. 327 $a""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)"" 327 $a""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"" 327 $a""7.8. Hankel transform with trigonometric parameters""""7.9. Fractional integral of two variables""; ""Bibliography""; ""List of Symbols""; ""Index"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 213, Number 1000. 606 $aRepresentations of Lie groups 606 $aSchro?dinger equation 615 0$aRepresentations of Lie groups. 615 0$aSchro?dinger equation. 676 $a512/.582 700 $aKobayashi$b Toshiyuki$f1962-$01103943 702 $aMano$b Gen$f1977- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828112103321 996 $aThe Schro?dinger model for the minimal representation of the indefinite orthogonal group O(p, q)$94038352 997 $aUNINA