| Description |
1 online resource (146 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; Number 946 |
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Memoirs of the American Mathematical Society ; no. 946.
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| Contents |
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 |
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""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)]"" |
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""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"" |
| Notes |
"Volume 201, number 946 (end of volume)." |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Heat equation.
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Eisenstein series.
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Decomposition (Mathematics)
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Function spaces.
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Decomposition (Mathematics)
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Eisenstein series.
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Function spaces.
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Heat equation.
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| Form |
Electronic book
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| Author |
Lang, Serge, author
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| ISBN |
9781470405601 |
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1470405601 |
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