On the howe duality conjecture

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1. [Ar] Arthur, J.: Eisenstein series and the trace formula. Proc. of Symposium in Pure Math.33 (1979) 253-274. Zbl0431.22016MR546601
2. [As] Asmuth, C.: Weil representations of symplectic p-adic groups. Amer. Jour. of Math.101(4) (1979) 885-909. Zbl0421.22011MR536044
3. [B-Z] Bernshtein, I.N. and Zelevinski, A.V.: Representations of the group GL2(F) where F is a non-Archimedean Local field. Russian Math. Surveys31(3) (May-June, 1976) 1-68. Zbl0348.43007
4. [B-J] Borel, A. and Jacquet, H.: Automorphic forms and automorphic representations. Proc. of Symposium in Pure Math.33 (1979) 185-202. Zbl0414.22020MR546598
5. [C] Cartier, P.: Representations of p-adic groups: a survey. Proc. of Symposium in Pure Math.33 (1979) 111-157. Zbl0421.22010MR546593
6. [F] Flath, D.: Decomposition of representations into tensor products. Proc. of Symposium in Pure Math.33 (1979) 179-184. Zbl0414.22019MR546596
7. [G-J] Godement, R. and Jacquet, H.: Zeta functions of simple algebras. Springer Lecture Notes260 (1972). Zbl0244.12011MR342495
8. [Gu] Gustafson, R.: The Degenerate Principal Series for Sp(2n). Ph.D. Thesis, Yale (May, 1979). Zbl0482.22013
9. [HC] Harish Chandra: Harmonic analysis on reductive p-adic groups (notes by G. van Dijk). Springer Lecture Notes162 (1970). Zbl0202.41101MR414797
10. [H] Howe, R.: θ-series and invariant theory. Proc. of Symposium in Pure Math.33 (1979) 275-287. Zbl0423.22016
11. [H-Ps-1] Howe, R. and Piatetski-Shapiro, I.I.: A counterexample to the "generalized Ramanujan conjecture" for quasi-split groups. Proc. of Symposium in Pure Math.33 (1979) 315-322. Zbl0423.22018MR546605
12. [H-Ps-2] Howe, R. and Piatetski-Shapiro, I.I.: Some examples of automorphic forms on Sp4, Duke Math. Jour.50(1) (1983) 55-106. Zbl0529.22012MR700131
13. [J-Ps-Sh] Jacquet, H., Piatetski-Shapiro, I.I. and Shalika, J.A.: Automorphic forms on Gl(3). Annals of Math.109 (1979) 213-258. Zbl0401.10037MR528964
14. [K-V] Kashiwara, M. and Vergne, M.: On the Segal-Shale-Weil representation and harmonic polynomials. Inventiones Math.44 (1978) 1-47. Zbl0375.22009MR463359
15. [N] Novodvorsky, M.: New unique models of representations of unitary groups. Comp. Math.33 (1976) 289-295. Zbl0337.22018MR492090
16. [O-M] O'Meara, T.: Introduction to quadratic forms. Die Grundlehren der Math. Wiss., bd 117, Springer Verlag (1963). Zbl0107.03301
17. [Ps-1] Piatetski-Shapiro, I.I.: L-functions for GSp2, preprint. 
18. [Ps-2] Piatetski-Shapiro, I.I.: On the Saito Kurokawa Lifting, preprint. MR689647
19. [R-1] Rallis, S.: Langlands Functoriality and the Weil Representation. Amer. Jour. of Math.104(3) (1982) 469-515. Zbl0532.22016MR658543
20. [R-2] Rallis, S.: On a relation between SL2 cusp forms and automorphic forms on orthogonal groups. Proc. of Symposium in Pure Math.33 (1979) 297-314. Zbl0425.10034MR546604
21. [R-S-1] Rallis, S. and Schiffmann, G.: Distributions invariantes par le group orthogonal. Springer Lecture Notes497 (1975) 494-642. Zbl0329.10016MR404140
22. [R-S-2] Rallis, S. and Schiffmann, G.: Représentations supercuspidales der groupe métaplectique. Kyoto Math. Journal17 (1977) 567-603. Zbl0398.22023MR498395
23. [S] Shalika, J.: The Multiplicity One Theorem for GLn. Annals of Math.100(1) (1974) 171-193. Zbl0316.12010MR348047
24. [W] Warner, G.: Harmonic analysis on semisimple Lie groups I. Grund. Math. Wiss.188, Springer Verlag (1972). Zbl0265.22020
25. [We] Weil, A.: Sur certaines groupes d'operateurs unitares. Acta Math.111 (1964) 143-211. Zbl0203.03305MR165033

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