LEADER 03706nam 2200601 450 001 9910480099303321 005 20180613001305.0 010 $a1-4704-0422-2 035 $a(CKB)3360000000465005 035 $a(EBL)3114239 035 $a(SSID)ssj0000973312 035 $a(PQKBManifestationID)11552361 035 $a(PQKBTitleCode)TC0000973312 035 $a(PQKBWorkID)10960111 035 $a(PQKB)10828997 035 $a(MiAaPQ)EBC3114239 035 $a(PPN)195417097 035 $a(EXLCZ)993360000000465005 100 $a20041027h20052005 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLocal zeta functions attached to the minimal spherical series for a class of symmetric spaces /$fNicole Bopp, Hubert Rubenthaler 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2005] 210 4$d©2005 215 $a1 online resource (250 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 821 300 $a"Volume 174, number 821 (first of 4 numbers)." 311 $a0-8218-3623-4 320 $aIncludes bibliographical references (pages 227-230) and index. 327 $a""Table of Contents""; ""Introduction""; ""Chapter 1. A Class of Real Prehomogeneous Spaces""; ""1.1. A class of graded algebras""; ""1.2. Root systems""; ""1.3. Complexification""; ""1.4. Highest root in I?£""; ""1.5. The first step for the descent""; ""1.6. The descent""; ""1.7. Generic elements in V[sup(+)]""; ""1.8. Structure of the regular graded algebra (g, H[sub(0)])""; ""1.9. Properties of the spaces E[sub(i,j)] (p, q)""; ""1.10. Normalization of the Killing form""; ""1.11. The relative invariant I??[sub(0)]""; ""1.12. The case k = 0""; ""1.13. Properties of I??[sub(0)]"" 327 $a""1.14. The polynomials I??[sub(j)]""""Chapter 2. The Orbits of G in V[sup(+)]""; ""2.1. Representations of sl( 2, C)""; ""2.2. First reduction""; ""2.3. An involution which permutes the roots in E[sub(i,j)(+1,+1)""; ""2.4. Construction of elements interchanging I?»[sub(i)] and I?»[sub(j)]""; ""2.5. Quadratic forms""; ""2.6. The G-orbits for Type III""; ""2.7. The G-orbits for Type II""; ""2.8. Signature of the quadratic forms qx[sub(i)],x[sub(j)]""; ""2.9. Action of Z[sub(G)](I[sup(+)]) for Type I""; ""2.10. The Ga???orbits for Type I""; ""2.11. The classification"" 327 $a""4.2. Two diffeomorphisms""""4.3. Isomorphisms between g(1), g (a???1), V[sup(+)]( l ) and V[sup(-)](a???1)""; ""4.4. A first normalization and its consequence""; ""4.5. A second normalization and its consequence""; ""4.6. Integral formulas on V[sup(+)] and V[sup(-)]""; ""4.7. Fourier transform of a quadratic character""; ""4.8. A relation between T[sup(-)][sub(Ff)] and T[sup(+)][sub(f)]""; ""Chapter 5. Functional Equation of the Zeta Functionfor Type I and II""; ""5.1. Definition of the local Zeta functions""; ""5.2. Existence of a functional equation for (AN, V[sup(+)])"" 327 $a""6.5. Explicit functional equation for k = 0"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 821. 606 $aFunctions, Zeta 606 $aSymmetric spaces 608 $aElectronic books. 615 0$aFunctions, Zeta. 615 0$aSymmetric spaces. 676 $a510 s 676 $a515/.56 700 $aBopp$b Nicole$f1947-$0950403 702 $aRubenthaler$b H$g(Hubert), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480099303321 996 $aLocal zeta functions attached to the minimal spherical series for a class of symmetric spaces$92148800 997 $aUNINA LEADER 02155oam 2200397 a 450 001 9910702379903321 005 20121120152514.0 035 $a(CKB)5470000002426357 035 $a(OCoLC)818787275 035 $a(EXLCZ)995470000002426357 100 $a20121120d2012 ua 0 101 0 $aeng 135 $aurbn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCultural property$b[electronic resource] $ememorandum of understanding between the United States of America and Bolivia, signed at Washington, December 4, 2001, and agreement amending and extending the memorandum of understanding, effected by exchange of notes at La Paz, November 27 and 29, 2006, and agreement extending the memorandum of understanding, effected by exchange of notes at La Paz, October 31 and November 10, 2011 210 1$a[Washington, D.C.] :$cU.S. Dept. of State,$d[2012?] 215 $a1 online resource (22 unnumbered pages) 225 1 $aTreaties and other international acts series ;$v01-1204 300 $aTitle from title screen (viewed on Nov. 20, 2012). 517 3 $aMemorandum of understanding between the United States of America and Bolivia, signed at Washington, December 4, 2001, and agreement amending and extending the memorandum of understanding, effected by exchange of notes at La Paz, November 27 and 29, 2006, and agreement extending the memorandum of understanding, effected by exchange of notes at La Paz, October 31 and November 10, 2011 606 $aCultural property$xProtection$xLaw and legislation$zUnited States 606 $aCultural property$xProtection$xLaw and legislation$zBolivia 606 $aHistoric preservation$xInternational cooperation 615 0$aCultural property$xProtection$xLaw and legislation 615 0$aCultural property$xProtection$xLaw and legislation 615 0$aHistoric preservation$xInternational cooperation. 712 02$aUnited States.$bDepartment of State. 801 0$bGPO 801 1$bGPO 801 2$bGPO 906 $aBOOK 912 $a9910702379903321 996 $aCultural property$93439492 997 $aUNINA