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Pontryagin duality
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1	THE DIXMIER PROBLEM, LAMPLIGHTERS AND BURNSIDE GROUPS NICOLAS MONOD‡ AND NARUTAKA OZAWA∗ Abstract. J. Dixmier asked in 1950 whether every non-amenable group admits uniformly bounded representations that cannot be uni Add to Reading List Source URL: egg.epfl.ch Language: English - Date: 2009-03-22 18:33:51 Topological groups Operator theory Geometric group theory Fourier analysis Harmonic analysis Amenable group Pontryagin duality Fourier transform Von Neumann algebra Mathematical analysis Abstract algebra Mathematics
2	The infinite-dimensional torus Jordan Bell Department of Mathematics, University of Toronto July 1, 2014 Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2014-07-01 18:19:47 Fourier analysis Algebraic topology Topological groups Harmonic analysis Pontryagin duality Fourier transform Locally compact space Sheaf Abelian group Topology Abstract algebra Mathematical analysis
3	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 42, Number 4, Pages 529–533 S[removed][removed]Article electronically published on April 7, 2005 Add to Reading List Source URL: math1.unice.fr Language: English - Date: 2006-12-16 12:32:44 Fourier analysis Niels Henrik Abel Group theory Abelian varieties Riemann surfaces Pontryagin duality Fourier transform Theta function Complex torus Abstract algebra Algebra Mathematics
4	ALGEBRA HANDOUT 2.5: MORE ON COMMUTATIVE GROUPS PETE L. CLARK 1. Reminder on quotient groups Let G be a group and H a subgroup of G. We have seen that the left cosets xH Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2011-10-09 23:28:41 Group homomorphism Normal subgroup Cyclic group Quotient group Pontryagin duality Presentation of a group Homomorphism Character theory Abelian group Abstract algebra Algebra Group theory
5	Complete compactness in abstract harmonic analysis Volker Runde Add to Reading List Source URL: ev03023.math.uregina.ca Language: English - Date: 2011-11-05 02:06:24 Topological groups Fourier analysis Functional analysis Operator theory Amenable group Geometric group theory Compact space Von Neumann algebra Pontryagin duality Mathematical analysis Topology Mathematics
6	QUALITATIVE THEORY OF DYNAMICAL SYSTEMS ARTICLE NO. , 1–6 () HA-00000 Add to Reading List Source URL: www.math.unt.edu Language: English - Date: 2006-01-05 16:32:30 Pontryagin duality Group action Abelian group Characteristic subgroup Homoclinic orbit Abstract algebra Algebra Group theory
7	INTEGRAL MOMENTS OF AUTOMORPHIC L–FUNCTIONS Adrian Diaconu Paul Garrett Abstract. We obtain second integral moments of automorphic L–functions on adele groups GL2 over arbitrary number fields, by a spectral decompos Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2008-05-08 14:22:24 Fourier analysis Algebraic number field Convolution Fourier transform Pontryagin duality Eisenstein series Representation theory Rankin–Selberg method Mathematical analysis Abstract algebra Mathematics
8	SMR[removed]Summer School and Conference on Automorphic Forms and Shimura Varieties[removed]July 2007 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2009-06-14 04:53:26 Harmonic analysis Functional equation Algebraic number field Pontryagin duality Dirichlet character Dirichlet L-function Abstract algebra Mathematical analysis Mathematics
9	VOLUME 8, NUMBER 7 JOURNAL OF MATHEMATICAL PHYSICS JULY 1967 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-12-22 12:53:28 Functional analysis C*-algebra Ergodic theory Representation theory Von Neumann algebra Topological groups Harmonic analysis Amenable group Pontryagin duality Abstract algebra Mathematical analysis Mathematics
10	A Little Harmonic Analysis Carl D. Offner Add to Reading List Source URL: www.cs.umb.edu Language: English - Date: 2007-02-04 21:01:01 Fourier transform Pontryagin duality Lp space Fourier series Integral Lebesgue integration Hilbert space Continuous function Riesz–Thorin theorem Mathematical analysis Fourier analysis Convolution

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