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200 10$aHeat Eisenstein Series on \mathrm{SL}_{n}(C) /$fJay Jorgenson, Serge Lang
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$dİ2009
215   $a1 online resource (146 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 946
300   $a"Volume 201, number 946 (end of volume)."
311   $a0-8218-4044-4 
320   $aIncludes bibliographical references and index.
327   $a""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""
327   $a""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,I??,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,I??,K)] and E[sup(#)][sub(P,K)]""
327   $a""4. Convolution of Tr[sub(I??)](K[sub(X)]) and the Eisenstein series""""5. The P-anticuspidal semigroup property""; ""6. The P-anticuspidal operator J[sub(P,I??I??p,)] and the conjectured spectral expansion""; ""7. Onward""; ""Appendix. The Heat Kernel""; ""1. Dodziuk's uniqueness theorem""; ""2. The fundamental solution and the heat kernel""; ""3. Properties of the heat kernel""; ""4. Compact manifolds""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 946.
517 3 $aHeat Eisenstein series on SLn(C)
606   $aHeat equation
606   $aEisenstein series
606   $aDecomposition (Mathematics)
606   $aFunction spaces
615  0$aHeat equation.
615  0$aEisenstein series.
615  0$aDecomposition (Mathematics)
615  0$aFunction spaces.
676   $a515/.353
700   $aJorgenson$b Jay$060132
702   $aLang$b Serge
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910819082203321
996   $aHeat Eisenstein Series on \mathrm{SL}_{n}(C)$94108347
997   $aUNINA