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- J. Bernstein
On sets covered up by segments
Doklady Akad. Nauk (Soviet Mathematics - Doklady) 146, No.1, 11-13
(1962).
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J. Bernstein
On the dimension of commutative sub-rings of R(n,k).
Functional Analysis and its Applications 1, No.4, 79-81 (1967).
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J. Bernstein
Meromorphic continuation of function fl for some polynomials
f.
Functional Analysis and its Applications, No.1, 92-93 (1968).
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J. Bernstein, S.I. Gelfand
Meromorphic continuation of the function Pl.
Functional Analysis and its Applications 3, No.1, 84-85 (1969).
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J. Bernstein, D. Kazhdan
On 1-dimensional cohomologies of discrete subgroups.
Functional Analysis and its Applications 4, No.1, 1-5 (1970).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Differential operators on the principal affine space.
Doklady Akad. Nauk 195, No.6, 1255-1258 (1970).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Structure of representations generated by highest weight vectors.
Functional Analysis and its Applications 5, No.1, 1-9 (1971).
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J. Bernstein
Modules over the ring of differential operators; the study of
fundamental solutions of equations with constant coefficients.
Functional Analysis and its Applications 5, No.2, 1-16 (1972).
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J. Bernstein
Analytic continuation of distributions with respect to a
parameter.
Functional Analysis and its Applications 6, No.4, 26-40 (1972).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Differential operators on the cubic cone.
Uspekhi Mat. Nauk (Soviet Mathematics - Surveys) 37, No.1, 185-190
(1972).
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J. Bernstein, B.I. Rosenfeld
On characteristic classes of foliations.
Functional Analysis and its Applications 6, No.1, 68-69 (1972).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Schubert cells and cohomologies of flag manifolds.
Functional Analysis and its Applications 7, No.1, 64-65 (1973).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Schubert cells and cohomologies of spaces G/P.
Uspekhi Mat. Nauk 38, No.3, 3-26(1973).
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J. Bernstein, I.M. Gelfand, V.A. Ponomarev
Coxeter functors and Gabriel's theorem.
Uspekhi Mat. Nauk 38, No.2, 19-33(1973).
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J. Bernstein, B.I. Rozenfeld
Homogeneous spaces for infinite dimensional
Lie algebras and characteristic classes of foliations.
Uspekhi Mat. Nauk
28, No.4, 103-138 (1973).
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G.M. Adel'son-Velski, J. Bernstein, M.L. Gerver
Estimation of the number of actions for the partial determination
of an order of a finite set of numbers.
Studies in Discrete Mathematics, Izdat "Nauka",Moscow,184-188
(1973) (In Russian)
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J. Bernstein
All reductive p-adic groups are tame.
Functional Analysis and its Applications 8, No.2, 3-6 (1974).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
A new model for the representations of finite semisimple algebraic groups
Uspekhi. Mat. Nauk 29, No. 3, 185-186 (1974).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Models of representations of compact Lie groups
Functional Analysis and its Applications 9, No.4, 61-62 (1975).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Differential operators on principal affine space and study of g-modules.
In "Lie groups and their representations" (I.M.Gelfand ed)
Akademiai Kiado, Budapest 21-64 (1975).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
On some category of g-modules.
Functional Analysis and its Applications 10, No.2, 1-8 (1976).
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J. Bernstein, A.V. Zelevinsky
Representations of the group GL(n,F), where F is a local
non-Archimedean field.
Uspekhi Mat. Nauk 10,
No.3, 5-70 (1976).
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J. Bernstein, A.V. Zelevinsky
Induced representations of GL(n) over p-adic field.
Functional Analysis and its Applications 10, No.3, 74-75
(1976).
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J. Bernstein, M.L. Gerver
A problem of integral geometry for a family of geodesics and an inverse kinematics seismics problem
Doklad. Akad. Nauk, SSSR, No. 2, 302-305 (1976).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Models of representations of Lie groups.
Trudy Sem. Petrovsk 2, 3-21 (1976) (also: Selecta Math.
Soviet, 1, No. 2, (1981)).
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J. Bernstein, A.V. Zelevinsky
Induced representations of reductive p-adic groups. I.
Ann. Scient. Ec. Norm. Sup. 10, No.4, 441-472 (1977).
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J. Bernstein, D.A. Leites
Integral forms and Stokes formula on supermanifolds.
Functional Analysis and its Applications 11, No.1, 55-56 (1977).
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J. Bernstein, D.A. Leites
How to intergrate differential forms on supermanifolds.
Functional Analysis and its Applications 11, No.3, 70-71 (1977).
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J. Bernstein, D.N. Bernstein, V.K. Dubrovich
On relict recombination lines.
Astronomical Journal 54, No.4 (1977).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Local structure of the category of Harish-Chandra modules. Part I
C.R.Acad. Sci. 286, No. 10, A435-A437 (1978).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Local structure of the category of Harish-Chandra modules. Part II
C.R.Acad. Sci. 286, No. 10, A435-A437 (1978).
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J. Bernstein, I.M. Gelfand, S.I. Gelfand
Algebraic bundles on Pn and problems of linear algebra.
Functional Analysis and its Applications 12, No.3, 66-67 (1978).
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J. Bernstein, O.V. Shvartsman
Chevalley theorem for complex cristallographic Coxeter groups.
Functional Analysis and its Applications 12, No.4, 79-80 (1978).
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J. Bernstein, D.A. Leites
The characters formula for irreducible finite dimensional
representations of Lie superalgebra GL(n,1) and SL(n,1).
Comp. Rendues de l'Acad. Bulgare 33, No.8, 277-278 (1980).
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J. Bernstein, S.I. Gelfand
Tensor products of finite and infinite dimensional representations
of semisimple Lie algebras.
Comp. Mathematica 41, No.2, 245-285 (1980).
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J. Bernstein, V.F. Shvartsman
On relation between the size of the Universe and its curvature.
JETP 78, No.11, 1617-1628 (1980).
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J. Bernstein, A. Beilinson
Localization de D-modules.
Comp. Rend. Acad. Sci. Paris t.292, 15-18 (1981).
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J. Bernstein, D.A. Leites
Invariant differential operators and irreducible representations of Lie
superalgebras of vector fields.
Serdica 7, No. 4, 320-334 (1981) (Selecta Math. Soviet 1,
No. 2, 143-160 (1981)).
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J. Bernstein, D.A. Leites
The superalgebra Q(n), the odd trace and the odd determinant.
C.R. Acad. Bulgare. 35, No. 3, 285-286 (1982).
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J. Bernstein, A. Beilinson
A generalization of Casselman's submodule theorem.
In Proceedings of the conference "Representations of reduvtive Lie
groups",
Park City, UTAH, April (1982),
Progr. Math. 40,35-52,Birkhäuzer,Boston,Mass (1983)
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J. Bernstein, D.A. Leites
Irreducible representations of finite-dimensional Lie superalgebras of
type
W.
Selecta Math. Soviet 3, No. 1, 63-68 (1983/84).
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J. Bernstein, A.A. Beilinson, P. Deligne
Faisceux pervers.
Asterisque 100, 3-171 (1983).
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J. Bernstein
P-invariant distributions on GL(n) and the classification of
unitary representations of GL(n) (non-Archimedean case).
Springer Lecture Notes in Math. 943, 50-102 (1984).
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J. Bernstein, P. Deligne
Le "centre" de Bernstein,
In "Representations des groups redutifs sur un corps
local,
Traveaux en cours" (P.Deligne ed.), Hermann, Paris, 1-32 (1984).
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J. Bernstein, P. Deligne, D. Kazhdan
Trace Paley Wiener theorem for reductive p-adic groups.
Jour. d'Analyse Math. 47, 180-192 (1986).
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J. Bernstein, V. Lunts
On non-holonomic irreducible D-modules.
Invent. Math. 94, 223-243 (1988).
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J. Bernstein
On the support of Plancherel measure.
Jour. of Geom. and Physics 5, No.4 (1988).
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J. Bernstein
Trace in categories.
In the book Öperator algebras, Unitary representations,
Enveloping algebras and Invariant theory ", May 1989,
Progr.Math.92,417-424,Birkhäuser,Boston(1990)
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J. Bernstein,
Representations of p-adic groups
Lectures by Joseph Bernstein. Written by Karl E. Rumelhart.
Harvard University. (Fall 1992).
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J. Bernstein, A.A. Beilinson
A proof of the Jantzen conjectures.
Advances in Soviet Mathematics 16:1, 1-50 (1993) Issue in honor of
I.M.Gelfand.
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J. Bernstein, V. Lunts
Equivariant sheaves and functors.
Lecture Notes in Mathematics, v.1578 (1994), 1-139.
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J. Bernstein, V. Lunts
Localization for derived categories of (g,K)-modules
Jour. Amer. Math. Society, v.8 , no.4 (1995), 819-856
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J. Bernstein, T. Khovanova
On the Quantum Group SLq(2)
Comm. in Math. Physics, v.177 (1996), 691-708
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J. Bernstein, V. Lunts
A simple proof of Kostant's theorem that U(g) is free over
its center.
Amer. Jour. Math. v.118, no.5 (1996), 979-987
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- J.Bernstein, A.Braverman, D.Gaitsgory
The Cohen-Macaulay property of the category of (g,K)-
modules
Selecta Mathematica, New Ser. v.3 (1997), 303-314
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J. Bernstein and A. Reznikov
Sobolev norms of automorphic functionals
and Fourier coefficients of cusp forms,
Comptes Rendues Acad. Sci. Paris, t.327,1998 Ser.1, p.111-116,
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J. Bernstein
Analytic structures on representation spaces of reductive groups
Documenta Mathematica, Proceedings of the ICM, Berlin 1998, v. 2,
519-525
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J. Bernstein and A. Reznikov
Analytic continuation of representations and estimates
of automorphic forms,
Annals of Mathematics. 150 (1999), 329-352
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- J. Bernstein, I. Frenkel, M. Khovanov.
A categorification of the Temperley-Lieb algebra and Schur
quotients of
U(sl\sb 2) via projective and Zuckerman functors,
Selecta Math (N.S.) 5 (1999), no. 2, 199-241
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- J. Bernstein, A. Reznikov
Sobolev norms of automorphic
functionals,
Internat. Math. Res. Notices, 2002:40, 2155-2174
(2002)
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- J. Bernstein, S.Gindikin,
Notes on Integral Geometry for
Manifolds of Curves,
American Mathematical Society Translations,
Vol.210, 57-79, (2003).
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- J. Bernstein, A. Reznikov,
Estimates of Automorphic
Functions,
Moscow Mathematical Journal - v.4(2004), no.2,
19-37
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- S. Alesker , J. Bernstein
Range characterization of the
cosine transform on higher Grassmannians,
Advances in
Mathematics - Adv. Math. 184(2004), no.2, 367-379.
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- J. Bernstein, A. Reznikov
Periods, Subconvexity of
L-functions and Representation Theory,
Journal of Differential
Geometry - v.70,no.1 (May 2005), 129-142
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J.Bernstein, O.Schwarzman
Complex crystallographic Coxeter groups
and affine root systems. J. Nonlinear Math. Phys. 13 (2006), no. 2,
163-182.PDF
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J.Bernstein, O.Schwarzman
Chevalley's theorem for the complex
crystallographic groups. J. Nonlinear Math. Phys. 13 (2006), no.
3, 323-351.PDF
- J. Bernstein, A. Reznikov
Subconvexity bounds for triple
L-functions and Representation Theory,
Annals of Mathematics, no.
172 (2010), 1679-1718
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- J. Bernstein
Lectures on Lie Algebras
Representation Theory, Complex Analysis and Integral Geometry, Birkhauser (2012), 97-133
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