Représentation métaplectique et conjectures de Howe
Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque no. 152-153  (1987), Talk no. 674, p. 85-99 
@incollection{SB_1986-1987__29__85_0,
     author = {Waldspurger, Jean-Loup},
     title = {Repr\'esentation m\'etaplectique et conjectures de Howe},
     booktitle = {S\'eminaire Bourbaki : volume 1986/87, expos\'es 669-685},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {152-153},
     year = {1987},
     note = {talk:674},
     pages = {85-99},
     zbl = {0634.10026},
     mrnumber = {936850},
     language = {fr},
     url = {http://www.numdam.org/item/SB_1986-1987__29__85_0}
}

Waldspurger, Jean-Loup. Représentation métaplectique et conjectures de Howe, in Séminaire Bourbaki : volume 1986/87, exposés 669-685, Astérisque, no. 152-153 (1987), Talk no. 674, pp. 85-99. http://www.numdam.org/item/SB_1986-1987__29__85_0/

[1] A. Albert - Structure of algebras, Amer. Math. Soc. Coll. Publ. XXIV, Providence 1961. | JFM 65.0094.02 | MR 123587

[2] A. Borel, H. Jacquet, Automorphic forms and automorphic representations, in Automorphic forms, representations and L-functions, p. 189-202, Proc. of Symp. in Pure Math. XXXIII, Part 1, AMS, Providence 1979. | MR 546598 | Zbl 0414.22020

[3] F. Bruhat, Représentations des groupes localement compacts 2, cours à Paris 7, multigraphié ENS 1971.

[4] M. Eichler, Quadratische Formen und orthogonale Gruppen, Springer, Berlin Heidelberg New-York 1974. | MR 351996 | Zbl 0277.10017

[5] E. Hecke, Analytische Arithmetik der positiven quadratischen Formen, in Mathematische Werke, Vandenhoeck Ruprecht, Göttingen 1970. | MR 104550

[6] R. Howe, θ-series and invariant theory, in Automorphic forms, representations and L-functions, p.275-286, Proc. of Symp. in Pure Math. XXXIII, Part 1, AMS, Providence 1979. | Zbl 0423.22016

[7] R. Howe, Transcending classical invariant theory, preprint. | MR 985172

[8] R. Howe, Invariant theory and duality for classical groups over finite fields, with applications to their singular representation theory, preprint.

[9] M. Kashiwara, M. Vergne, On the Segal-Shale-Weil representations and harmonic polynomials, Inv. Math. 44 (1978), 1-47. | MR 463359 | Zbl 0375.22009

[10] M. Kneser, Approximation in algebraischen Gruppen, Colloque sur la théorie des groupes algébriques, Bruxelles 1962.

[11] S. Kudla, On the local theta correspondence, Inv. Math. 83 (1986), 229-255. | MR 818351 | Zbl 0583.22010

[12] G. Lion, M. Vergne, The Weil representation, Maslov index and theta series, Progress in Math. 6, Birkhäuser, Boston Basel Stuttgart 1980. | MR 573448 | Zbl 0444.22005

[13] G. Mackey, A theorem of Stone and Von Neumann, Duke Math. J. 16 (1949) 313-326. | MR 30532 | Zbl 0036.07703

[14] J. Von Neumann, Die Eindeutigkeit der Schrödingerschen Operatoren, Math. Ann. 104 (1931), 570-578. | MR 1512685 | Zbl 0001.24703

[15] P. Perrin, Représentations de Schrödinger, indice de Maslov et groupe métaplectique, in Non commutative harmonic analysis and Lie groups, Proc. Marseille-Luminy 1980, Springer LN 880, Berlin Heidelberg New-York. | MR 644841 | Zbl 0462.22008

[16] S. Rallis, On the Howe duality conjecture, Comp. Math. 51 (1984), 333-399. | Numdam | MR 743016 | Zbl 0624.22011

[17] S. Rallis, Injectivity properties of liftings associated to Weil representations, Comp. Math. 52 (1984), 139-169. | Numdam | MR 750352 | Zbl 0624.22012

[18] R. Rad, On some explicit formulas in the theory of Weil representations, preprint.

[19] C. Siegel, Gesammelte Abhandlungen I, Springer 1966. | MR 197270 | Zbl 0143.00101

[20] M. Stone, Linear transformations in Hilbert space III, operational methods and group theory, Proc. Nat. Acad. Sci. USA 16 (1930), 172-175. | JFM 56.0357.01

[21] A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math. 111, (1964), 143-211. | MR 165033 | Zbl 0203.03305

[22] A. Weil, Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1-87. | MR 223373 | Zbl 0161.02304