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- Pontryagin_duality abstract "In mathematics, specifically in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform on locally compact groups, such as R, the circle, or finite cyclic groups. The Pontryagin duality theorem itself states that locally compact groups identify naturally with their bidual.The subject is named after Lev Semenovich Pontryagin who laid down the foundations for the theory of locally compact abelian groups and their duality during his early mathematical works in 1934. Pontryagin's treatment relied on the group being second-countable and either compact or discrete. This was improved to cover the general locally compact abelian groups by Egbert van Kampen in 1935 and André Weil in 1940.".
- Pontryagin_duality thumbnail 2-adic_integers_with_dual_colorings.svg?width=300.
- Pontryagin_duality wikiPageID "366136".
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- Pontryagin_duality wikiPageRevisionID "706745494".
- Pontryagin_duality wikiPageWikiLink Abelian_group.
- Pontryagin_duality wikiPageWikiLink Absolute_value.
- Pontryagin_duality wikiPageWikiLink Adele_ring.
- Pontryagin_duality wikiPageWikiLink Algebra.
- Pontryagin_duality wikiPageWikiLink Almost_periodic_function.
- Pontryagin_duality wikiPageWikiLink André_Weil.
- Pontryagin_duality wikiPageWikiLink Approximate_identity.
- Pontryagin_duality wikiPageWikiLink Banach_algebra.
- Pontryagin_duality wikiPageWikiLink Bohr_compactification.
- Pontryagin_duality wikiPageWikiLink Borel_set.
- Pontryagin_duality wikiPageWikiLink C*-algebra.
- Pontryagin_duality wikiPageWikiLink Canonical_form.
- Pontryagin_duality wikiPageWikiLink Category:Duality_theories.
- Pontryagin_duality wikiPageWikiLink Category:Fourier_analysis.
- Pontryagin_duality wikiPageWikiLink Category:Harmonic_analysis.
- Pontryagin_duality wikiPageWikiLink Category:Theorems_in_analysis.
- Pontryagin_duality wikiPageWikiLink Category:Topological_groups.
- Pontryagin_duality wikiPageWikiLink Category_theory.
- Pontryagin_duality wikiPageWikiLink Character_(mathematics).
- Pontryagin_duality wikiPageWikiLink Circle_group.
- Pontryagin_duality wikiPageWikiLink Compact-open_topology.
- Pontryagin_duality wikiPageWikiLink Compact_group.
- Pontryagin_duality wikiPageWikiLink Compact_space.
- Pontryagin_duality wikiPageWikiLink Complex_number.
- Pontryagin_duality wikiPageWikiLink Continuous_function.
- Pontryagin_duality wikiPageWikiLink Cyclic_group.
- Pontryagin_duality wikiPageWikiLink Dimension_(vector_space).
- Pontryagin_duality wikiPageWikiLink Discrete-time_Fourier_transform.
- Pontryagin_duality wikiPageWikiLink Discrete_Fourier_transform.
- Pontryagin_duality wikiPageWikiLink Discrete_space.
- Pontryagin_duality wikiPageWikiLink Dual_measure.
- Pontryagin_duality wikiPageWikiLink Dual_space.
- Pontryagin_duality wikiPageWikiLink Edwin_Hewitt.
- Pontryagin_duality wikiPageWikiLink Egbert_van_Kampen.
- Pontryagin_duality wikiPageWikiLink Endomorphism.
- Pontryagin_duality wikiPageWikiLink Equivalence_of_categories.
- Pontryagin_duality wikiPageWikiLink Finitely_generated_abelian_group.
- Pontryagin_duality wikiPageWikiLink Fourier_series.
- Pontryagin_duality wikiPageWikiLink Fourier_transform.
- Pontryagin_duality wikiPageWikiLink Fubinis_theorem.
- Pontryagin_duality wikiPageWikiLink Functor.
- Pontryagin_duality wikiPageWikiLink Gelfand_representation.
- Pontryagin_duality wikiPageWikiLink Group_algebra.
- Pontryagin_duality wikiPageWikiLink Group_homomorphism.
- Pontryagin_duality wikiPageWikiLink Group_scheme.
- Pontryagin_duality wikiPageWikiLink Haar_measure.
- Pontryagin_duality wikiPageWikiLink Hans_J._Reiter.
- Pontryagin_duality wikiPageWikiLink Harmonic_analysis.
- Pontryagin_duality wikiPageWikiLink If_and_only_if.
- Pontryagin_duality wikiPageWikiLink Inclusion_map.
- Pontryagin_duality wikiPageWikiLink Integral.
- Pontryagin_duality wikiPageWikiLink Jacques_Dixmier.
- Pontryagin_duality wikiPageWikiLink Jan_D._Stegeman.
- Pontryagin_duality wikiPageWikiLink John_von_Neumann.
- Pontryagin_duality wikiPageWikiLink Kenneth_A._Ross.
- Pontryagin_duality wikiPageWikiLink Lev_Pontryagin.
- Pontryagin_duality wikiPageWikiLink Locally_compact_group.
- Pontryagin_duality wikiPageWikiLink Locally_compact_space.
- Pontryagin_duality wikiPageWikiLink Lynn_Harold_Loomis.
- Pontryagin_duality wikiPageWikiLink Measure_(mathematics).
- Pontryagin_duality wikiPageWikiLink Michel_Plancherel.
- Pontryagin_duality wikiPageWikiLink Module_(mathematics).
- Pontryagin_duality wikiPageWikiLink Natural_transformation.
- Pontryagin_duality wikiPageWikiLink Opposite_ring.
- Pontryagin_duality wikiPageWikiLink P-adic_number.
- Pontryagin_duality wikiPageWikiLink Periodic_function.
- Pontryagin_duality wikiPageWikiLink Peter–Weyl_theorem.
- Pontryagin_duality wikiPageWikiLink Pointwise_convergence.
- Pontryagin_duality wikiPageWikiLink Positive_real_numbers.
- Pontryagin_duality wikiPageWikiLink Quotient_group.
- Pontryagin_duality wikiPageWikiLink Real_number.
- Pontryagin_duality wikiPageWikiLink Representable_functor.
- Pontryagin_duality wikiPageWikiLink Ring_(mathematics).
- Pontryagin_duality wikiPageWikiLink Second-countable_space.
- Pontryagin_duality wikiPageWikiLink Separable_space.
- Pontryagin_duality wikiPageWikiLink Sigma-algebra.
- Pontryagin_duality wikiPageWikiLink Stereotype_space.
- Pontryagin_duality wikiPageWikiLink Tannaka–Krein_duality.
- Pontryagin_duality wikiPageWikiLink Topological_group.
- Pontryagin_duality wikiPageWikiLink Topology.
- Pontryagin_duality wikiPageWikiLink Torus.
- Pontryagin_duality wikiPageWikiLink Uniform_convergence.
- Pontryagin_duality wikiPageWikiLink Unitary_operator.
- Pontryagin_duality wikiPageWikiLink Universal_property.
- Pontryagin_duality wikiPageWikiLink Vanish_at_infinity.
- Pontryagin_duality wikiPageWikiLink Walter_Rudin.
- Pontryagin_duality wikiPageWikiLink File:2-adic_integers_with_dual_colorings.svg.
- Pontryagin_duality wikiPageWikiLinkText "Pontryagin dual group".
- Pontryagin_duality wikiPageWikiLinkText "Pontryagin dual".
- Pontryagin_duality wikiPageWikiLinkText "Pontryagin duality".
- Pontryagin_duality wikiPageWikiLinkText "Pontryagin duals".
- Pontryagin_duality wikiPageWikiLinkText "dual group".
- Pontryagin_duality wikiPageWikiLinkText "dual".
- Pontryagin_duality wikiPageWikiLinkText "self-dual".