Harvard |

Harvard

Matches in Harvard for { <http://id.lib.harvard.edu/aleph/008482434/catalog> ?p ?o. }

Showing items 1 to 26 of 26 with 100 items per page.

catalog abstract "This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).".
catalog contributor b11837553.
catalog created "2000.".
catalog date "2000".
catalog date "2000.".
catalog dateCopyrighted "2000.".
catalog description "1. Introduction -- 2. Distributions associated with the non-unitary principal series -- 3. Modular distributions -- 4. The principal series of SL(2,R) and the Radon transform -- 5. Another look at the composition of Weyl symbols -- 6. The Roelcke-Selberg decomposition and the Radon transform -- 7. Recovering the Roelcke-Selberg coefficients of a function in L[superscript 2](Gamma\II) -- 8. The "product" of two Eisenstein distributions -- 9. The Roelcke-Selberg expansion of the product of two Eisenstein series: the continuous part -- 10. A digression on Kloosterman sums -- 11. The Roelcke-Selberg expansion of the product of two Eisenstein series: the discrete part -- 12. The expansion of the Poisson bracket of two Eisenstein series -- 13. Automorphic distributions on R[superscript 2] -- 14. The Hecke decomposition of products or Poisson brackets of two Eisenstein series -- 15. A generating series of sorts for Maass cusp-forms -- 16. Some arithmetic distributions -- 17. Quantization, products and Poisson brackets -- 18. Moving to the forward light-cone: the Lax-Phillips theory revisited -- 19. Automorphic functions associated with quadratic PSL(2, Z)- orbits in P[subscript 1](R) -- 20. Quadratic orbits: a dual problem -- Index of notations: page 1 -- Index of notations: page 2.".
catalog description "Includes bibliographical references and indexes.".
catalog description "This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).".
catalog extent "vii, 253 p. ;".
catalog identifier "3540678611 (softcover : alk. paper)".
catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1742.".
catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1742".
catalog issued "2000".
catalog issued "2000.".
catalog language "eng".
catalog publisher "New York : Springer,".
catalog subject "510 s 512/.73 21".
catalog subject "Forms, Modular.".
catalog subject "Geometric quantization.".
catalog subject "Mathematics.".
catalog subject "Number theory.".
catalog subject "QA3 .L28 no. 1742 QC174.17.G46".
catalog tableOfContents "1. Introduction -- 2. Distributions associated with the non-unitary principal series -- 3. Modular distributions -- 4. The principal series of SL(2,R) and the Radon transform -- 5. Another look at the composition of Weyl symbols -- 6. The Roelcke-Selberg decomposition and the Radon transform -- 7. Recovering the Roelcke-Selberg coefficients of a function in L[superscript 2](Gamma\II) -- 8. The "product" of two Eisenstein distributions -- 9. The Roelcke-Selberg expansion of the product of two Eisenstein series: the continuous part -- 10. A digression on Kloosterman sums -- 11. The Roelcke-Selberg expansion of the product of two Eisenstein series: the discrete part -- 12. The expansion of the Poisson bracket of two Eisenstein series -- 13. Automorphic distributions on R[superscript 2] -- 14. The Hecke decomposition of products or Poisson brackets of two Eisenstein series -- 15. A generating series of sorts for Maass cusp-forms -- 16. Some arithmetic distributions -- 17. Quantization, products and Poisson brackets -- 18. Moving to the forward light-cone: the Lax-Phillips theory revisited -- 19. Automorphic functions associated with quadratic PSL(2, Z)- orbits in P[subscript 1](R) -- 20. Quadratic orbits: a dual problem -- Index of notations: page 1 -- Index of notations: page 2.".
catalog title "Quantization and non-holomorphic modular forms / André Unterberger.".
catalog type "text".