03624nam 2200637 450 991081908220332120170822144131.01-4704-0560-1(CKB)3360000000465130(EBL)3114245(SSID)ssj0000888973(PQKBManifestationID)11456894(PQKBTitleCode)TC0000888973(PQKBWorkID)10875166(PQKB)10654593(MiAaPQ)EBC3114245(RPAM)15762418(PPN)195418352(EXLCZ)99336000000046513020150416h20092009 uy 0engur|n|---|||||txtccrHeat Eisenstein Series on \mathrm{SL}_{n}(C) /Jay Jorgenson, Serge LangProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (146 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 946"Volume 201, number 946 (end of volume)."0-8218-4044-4 Includes bibliographical references and index.""Contents""; ""Acknowledgements""; ""Introduction""; ""Notation and Terminology""; ""Chapter 1. Estimates on SL[sub(n)] Parabolics""; ""1. The hermitian norm on SL[sub(n)] and Siegel sets""; ""2. Volume and lattice point estimates""; ""3. Estimates of A-projections""; ""4. Standard reduced parabolics""; ""5. Characters on parabolics""; ""6. Estimates of Ap-projections""; ""7. Parabolic integral formulas""; ""Chapter 2. Eisenstein Series""; ""1. The character Eisenstein series""; ""2. Twists of character Eisenstein series""; ""3. Two-character Eisenstein series""; ""4. The Gauss space""""5. The parabolic Eisenstein integration formula""""Chapter 3. Adjointness and Inversion Relations""; ""1. Adjointness formulas and F-cuspidality""; ""2. Adjointness and initial conditions formulas""; ""3. P-cuspidality and heat Eisenstein series""; ""4. The family of anticuspidal operators J[sub(P,Î?,e,t)]""; ""Chapter 4. Applications of the Heat Equation""; ""1. Parabolics and the (a, n)-characters""; ""2. Direct image of Casimir on parabolics""; ""3. The differential equation for E[sub(P,Î?,K)] and E[sup(#)][sub(P,K)]""""4. Convolution of Tr[sub(Î?)](K[sub(X)]) and the Eisenstein series""""5. The P-anticuspidal semigroup property""; ""6. The P-anticuspidal operator J[sub(P,Î?Ï?p,)] and the conjectured spectral expansion""; ""7. Onward""; ""Appendix. The Heat Kernel""; ""1. Dodziuk's uniqueness theorem""; ""2. The fundamental solution and the heat kernel""; ""3. Properties of the heat kernel""; ""4. Compact manifolds""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""Memoirs of the American Mathematical Society ;Number 946.Heat Eisenstein series on SLn(C)Heat equationEisenstein seriesDecomposition (Mathematics)Function spacesHeat equation.Eisenstein series.Decomposition (Mathematics)Function spaces.515/.353Jorgenson Jay60132Lang SergeMiAaPQMiAaPQMiAaPQBOOK9910819082203321Heat Eisenstein Series on \mathrm{SL}_{n}(C)4108347UNINA