Injectivity properties of liftings associated to weil representations

S. Rallis

Compositio Mathematica (1984)

  • Volume: 52, Issue: 2, page 139-169
  • ISSN: 0010-437X

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Rallis, S.. "Injectivity properties of liftings associated to weil representations." Compositio Mathematica 52.2 (1984): 139-169. <http://eudml.org/doc/89656>.

@article{Rallis1984,
author = {Rallis, S.},
journal = {Compositio Mathematica},
keywords = {Weil lifting; dual reductive pair; kernel function; Weil representation; Schwartz function; nondegenerate quadratic form; adelic space of cusp forms; orthogonal group; symplectic group; Langlands L-function; inner product formula; traces of Hecke operators; modular cusp forms; cuspidal automorphic representation; nonvanishing Lie algebra cohomology},
language = {eng},
number = {2},
pages = {139-169},
publisher = {Martinus Nijhoff Publishers},
title = {Injectivity properties of liftings associated to weil representations},
url = {http://eudml.org/doc/89656},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Rallis, S.
TI - Injectivity properties of liftings associated to weil representations
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 2
SP - 139
EP - 169
LA - eng
KW - Weil lifting; dual reductive pair; kernel function; Weil representation; Schwartz function; nondegenerate quadratic form; adelic space of cusp forms; orthogonal group; symplectic group; Langlands L-function; inner product formula; traces of Hecke operators; modular cusp forms; cuspidal automorphic representation; nonvanishing Lie algebra cohomology
UR - http://eudml.org/doc/89656
ER -

References

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  5. [H-M] Howe, R. and Moore, C.: Asymptotic properties of unitary representations. J. Func. Anal.32 (1979) 72-96. Zbl0404.22015MR533220
  6. [J-L] Jacquet, H. and Langlands, R.: Automorphic forms on GL(2). Lecture Notes in Math.114, Springer (1970). Zbl0236.12010MR401654
  7. [K-Z] Kohnen, W. and Zagier, D.: Values of L-series of modular forms in the middle of the critical strip. (1980) Preprint. Zbl0468.10015
  8. [L] Lang, S.: SL2(R). Addison-Wesley (1974). 
  9. [La] Langlands, R.: Base change for GL (2). Annals of Math Studies96 (1980). Zbl0444.22007MR574808
  10. [M-R] Millson, J. and Raghunathan, M.S.: Geometric construction of homology for arithmetic groups. Preprint. Zbl0524.22012
  11. [P] Piatetski-Shapiro: On the Saito-Kurokawa lifting. Preprint. Zbl0515.10024
  12. [R-1] Rallis, S.: Langlands' functoriality and the Weil representation. Amer. Jour. of Math.104 (3) (1982) 469-515. Zbl0532.22016MR658543
  13. [R-2] Rallis, S.: On the Howe duality conjecture. Comp. Math.51 (3) (1984) 333-399. Zbl0624.22011MR743016
  14. [R-3] Rallis, S.: The Eichler commutation relation and the continuous spectrum of the Weil representation. Proc of Conference on Non Commutative Harmonic Analysis. Lecture Notes in Math.728 (1979) 211-244. Zbl0482.10032MR548332
  15. [R-S] Rallis, S. and Schiffmann, G.: Weil representation. I. Interwining distributions and discrete spectrum. Memoirs of Amer. Math. Soc.231 (1980). Zbl0442.22006MR567800
  16. [W] Waldspurger, J.L.: Correspondance de Shimura. J. Math. pures et appl.59 (1980) 1-133. Zbl0412.10019MR577010

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