@article{PMIHES_1984__59__35_0, author = {Kazhdan, David A. and Patterson, S. J.}, title = {Metaplectic forms}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {35--142}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {59}, year = {1984}, mrnumber = {743816}, zbl = {0559.10026}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1984__59__35_0/} }
Kazhdan, David A.; Patterson, S. J. Metaplectic forms. Publications Mathématiques de l'IHÉS, Tome 59 (1984), pp. 35-142. http://archive.numdam.org/item/PMIHES_1984__59__35_0/
[1] On the composition series of principal series representations of a 3-fold covering group of SL(2,k), Nagoya Math. J., 77 (1980), 177-196. | MR | Zbl
,[2] Solution of the congruence subgroup problem for SLn (n≥3) and Sp2n (n≥2), Publ. Math. IHES, 33 (1967), 59-137. | Numdam | MR | Zbl
, and ,[3] Induced representations of reductive p-adic groups, Ann. scient. Ec. Norm. Sup., 10 (1977), 441-472. | Numdam | MR | Zbl
and ,[4] Arithmetic subgroups of algebraic groups, Annals of Math., 75 (1962), 485-532. | MR | Zbl
and ,[5] Notes on metaplectic groups (Unpublished).
,[6] Sommes de Gauss cubiques et revêtements de SL(2). Sém. Bourbaki, Juin 1979, exposé n° 539 ; Springer Lecture Notes, 770 (1980), 244-277. | Numdam | MR | Zbl
,[7] Automorphic forms on covering groups of GL(2), Inv. Math., 57 (1980), 119-182. | MR | Zbl
,[8] Weil's representation and the spectrum of the metaplectic group, Springer Lecture Notes, 530 (1976). | MR | Zbl
,[9] Existence and uniqueness of Whittaker models for the metaplectic group, Israeli Math. J., 34 (1979), 21-37. | Zbl
, and ,[10] On Shimura's correspondence for modular forms of half-integral weight, Proceedings, Colloquium on Automorphic Forms, Representation Theory and Arithmetic, Bombay, 1979, 1-39. | Zbl
and ,[11] Distinguished representations and modular forms of half-integral weight, Inv. Math., 59 (1980), 145-188. | MR | Zbl
and ,[12] Representation Theory and Automorphic Functions, Nauka (1966) (Russian), Saunders (1969) (English). | Zbl
, and ,[13] Representations of the group GL(n,K) where K is a local field, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974.
and ,[14] Unitary Representations of the Classical Groups, Trudy Mat. Inst. Steklov, 36, 1950 (Russian), Akademie-Verlag Berlin, 1958 (German).
and ,[15] Minkowski'sche Reduktionstheorie über Funktionenkörper, Inv. Math., 7 (1969), 107-149. | MR | Zbl
,[16] Chevalley groups over function fields and automorphic forms, Annals of Math., 100 (1974), 249-306. | MR | Zbl
,[17] Harmonic Analysis on Reductive p-adic Groups, Springer Lecture Notes, 162 (1970). | MR | Zbl
and ,[18] Admissible invariant distributions on reductive p-adic groups, Princeton, Preprint, IAS. | Zbl
,[19] A submersion principle and its applications, Geometry and Analysis, Papers dedicated to the Memory of V. K. Patodi, Springer-Verlag, 1981, 95-102. | MR | Zbl
,[20] Gesammelte Werke, Vandenhoeck u. Ruprecht, 1970.
,[21] The Fourier transform and germs of characters (case of GLn over a p-adic field), Math. Ann., 208 (1974), 305-322. | MR | Zbl
,[22] Fonctions de Whittaker associées aux groupes de Chevalley, Bull. Soc. Math., France, 95 (1967), 243-309. | Numdam | MR | Zbl
,[23] Automorphic Forms on GL(2), Springer Lecture Notes, 114 (1970). | MR | Zbl
and ,[24] Strong Approximation, Proc. Symp. Pure Math., IX (1966), 187-196. | MR | Zbl
,[25] Topological covering of SL(2) over a local field, J. Math. Soc. Japan, 19 (1967), 114-121. | MR | Zbl
,[26] Automorphic Forms and the Reciprocity Law in a Number Field, Kyoto Univ., 1969. | Zbl
,[27] Some results concerning reciprocity and functional analysis, Actes du Congr. Int. Math à Nice, 1970, t. I, 395-399. | MR | Zbl
,[28] Some number-theoretical results on real-analytic automorphic forms, Several Complex Variables II, Maryland, 1970, Springer Lecture Notes, 185 (1971), 87-96. | MR | Zbl
,[29] On the Functional Equations satisfied by Eisenstein Series, Springer Lecture Notes, 544 (1976). | MR | Zbl
,[30] The volume of the fundamental domain for some arithmetical subgroups, Proc. Symp. Pure Math., IX (1966), 143-148. | MR | Zbl
,[31] On the Classification of Irreductible Representations of Real Algebraic Groups, Lecture Notes, Princeton, IAS. | Zbl
,[32] Sur les sous-groupes arithmétiques des groupes semi-simples déployés, Ann. scient., Ec. Norm. Sup., (1969), 1-62. | Numdam | MR | Zbl
,[33] An introduction to algebraic K-theory, Annals of Mathematics Studies, 72, 1971. | MR | Zbl
,[34] Ph. D. Thesis, Univ. of Chicago, 1979.
,[35] Group extensions of p-adic and adelic linear groups, Publ. Math. IHES, 35 (1968), 157-222. | Numdam | MR | Zbl
,[36] Eisenstein series for reductive groups over global function fields, Canad. Math. J., 34 (1982), 91-168. | MR | Zbl
,[37] A cubic analogue of the theta series, J. für die r.u.a. Math., 296 (1977), 125-161, 217-220. | MR | Zbl
,[38] The constant term of the cubic theta series, J. für die r.u.a. Math., 336 (1982), 185-190. | MR | Zbl
,[39] On the distribution of general Gauss sums at prime arguments, Recent Progress in Analytic Number Theory, Vol. 2, Academic Press, 1981. | Zbl
,[40] Euler subgroups, Lie Groups, Budapest, Ed. I. M. Gelfand, 1974.
,[41] Modèle de Whittaker et charactères de représentations. Non-Commutative Harmonic Analysis, Proceedings, 1976, Springer Lecture Notes, 466 (1977), 117-195. | Zbl
,[42] Modular forms of weight 1/2, Modular Forms in One Varible VI, Bonn, 1976, Springer Lecture Notes, 627 (1977), 27-67. | MR | Zbl
and ,[43] Functional equation satisfied by certain L-series, Comp. Math., 37 (1978), 171-207. | Numdam | MR | Zbl
,[44] Whittaker models for real groups, Duke Math. J., 47 (1980), 99-125. | MR | Zbl
,[45] The multiplicity one theorem for GL(n), Annals of Math., 100 (1974), 171-193. | MR | Zbl
,[46] Introduction to Harmonic Analysis on Reductive p-adic Groups, Princeton Math. Notes, 23, 1979. | MR | Zbl
,[47] Lectures on Chevalley Groups, Lectures Notes, Yale Math. Dept., 1968. | MR
,[48] L'intégration dans les groupes topologiques et ses applications, Hermann, 1940. | JFM | MR | Zbl
,[49] Sur certains groupes d'opérateurs unitaires, Acta Math., 111 (1964), 143-211. | MR | Zbl
, ,