Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, ISSN 2081-545X, 05/2004, Volume 4, Issue 1, pp. 123 - 141

We introduce a notion of abstract Lie group by means of the mapping which plays the role of the evolution operator. We show some basic properties of such...

Journal Article

ACADEMIE POLONAISE DES SCIENCES, BULLETIN, SERIE DES SCIENCES MATHEMATIQUES, ASTRONOMIQUES ET PHYSIQUES, 01/1966, Volume 14, Issue 9, pp. 493 - 496

Journal Article

2013, Pure and applied undergraduate texts, ISBN 9780821891414, Volume 20, xiii, 362 pages

Measure and integration -- Instructional exposition (textbooks, tutorial papers, etc.) | Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.) | Abstract harmonic analysis -- Instructional exposition (textbooks, tutorial papers, etc.) | Harmonic analysis on Euclidean spaces -- Instructional exposition (textbooks, tutorial papers, etc.) | Mathematical analysis | Real functions -- Instructional exposition (textbooks, tutorial papers, etc.) | Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.) | Topological groups, Lie groups -- Locally compact abelian groups (LCA groups) -- General properties and structure of LCA groups

Book

1991, Lecture Notes in Mathematics, ISBN 9780387539171, Volume 1466., vi, 178

The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups...

Linear topological spaces | Locally compact groups | Harmonic analysis | Topological Groups, Lie Groups | Analysis | Global analysis (Mathematics) | Functional analysis | Topological Groups | Algebraic topology | Discrete Mathematics

Linear topological spaces | Locally compact groups | Harmonic analysis | Topological Groups, Lie Groups | Analysis | Global analysis (Mathematics) | Functional analysis | Topological Groups | Algebraic topology | Discrete Mathematics

Book

2002, Mathematics and its applications, ISBN 9781402009396, Volume 549., ix, 327

Book

Topology and its Applications, ISSN 0166-8641, 04/2012, Volume 159, Issue 7, pp. 1916 - 1942

In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-map of a compact space. In 1971 Bowen extended this notion to...

Uniform entropy | Bowen entropy | Locally compact group | Topological entropy | Algebraic entropy | Addition Theorem | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | ENDOMORPHISMS

Uniform entropy | Bowen entropy | Locally compact group | Topological entropy | Algebraic entropy | Addition Theorem | MATHEMATICS | MATHEMATICS, APPLIED | AUTOMORPHISMS | ENDOMORPHISMS

Journal Article

Zeitschrift fur Analysis und ihre Anwendung, ISSN 0232-2064, 2017, Volume 36, Issue 4, pp. 481 - 500

This paper presents a study for square-integrability of classical multivariate wave-packets in L-2 (R-d) via group representation theory. The abstract notions...

Multivariate wave-packet transforms | Multivariate wave-packet groups | Multivariate wavelet (Gabor) transforms | Multivariate wave-packet representations | multivariate wave-packet groups | multivariate wave-packet transforms | MATHEMATICS, APPLIED | multivariate wave-packet representations | SEMIDIRECT PRODUCT | LOCALLY COMPACT-GROUPS | ABELIAN-GROUPS | RELATIVE CONVOLUTIONS | MATHEMATICS | INTEGRABLE GROUP-REPRESENTATIONS | ATOMIC DECOMPOSITIONS | BANACH-SPACES | GABOR TRANSFORM | OPERATORS

Multivariate wave-packet transforms | Multivariate wave-packet groups | Multivariate wavelet (Gabor) transforms | Multivariate wave-packet representations | multivariate wave-packet groups | multivariate wave-packet transforms | MATHEMATICS, APPLIED | multivariate wave-packet representations | SEMIDIRECT PRODUCT | LOCALLY COMPACT-GROUPS | ABELIAN-GROUPS | RELATIVE CONVOLUTIONS | MATHEMATICS | INTEGRABLE GROUP-REPRESENTATIONS | ATOMIC DECOMPOSITIONS | BANACH-SPACES | GABOR TRANSFORM | OPERATORS

Journal Article

Topology and its Applications, ISSN 0166-8641, 2006, Volume 153, Issue 17, pp. 3338 - 3354

Two non-discrete Hausdorff group topologies , on a group are called if the least upper bound of and is the discrete topology. We give a complete description of...

Transversal topologies | Connected | Boolean group | Precompact | Locally compact abelian group | Divisible group | Index of narrowness | Free topological group | ω-narrow | Central subgroup | Lie group | Compact | Submaximal topology | index of narrowness | divisible group | (omega)-narrow | MATHEMATICS, APPLIED | central subgroup | compact | locally compact abelian group | transversal topologies | connected | MATHEMATICS | free topological group | submaximal topology | COMPLEMENTATION | precompact | LATTICE

Transversal topologies | Connected | Boolean group | Precompact | Locally compact abelian group | Divisible group | Index of narrowness | Free topological group | ω-narrow | Central subgroup | Lie group | Compact | Submaximal topology | index of narrowness | divisible group | (omega)-narrow | MATHEMATICS, APPLIED | central subgroup | compact | locally compact abelian group | transversal topologies | connected | MATHEMATICS | free topological group | submaximal topology | COMPLEMENTATION | precompact | LATTICE

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 2, pp. 1426 - 1442

Let and be a Čech-complete topological group and a compact group, respectively. We prove that if is a non-equicontinuous subset of , the set of all continuous...

Locally [formula omitted]-group | Čech-complete group | Interpolation set | Bohr compactification | Bohr topology | Respects compactness | Locally k | group | TOPOLOGICAL-GROUPS | CRITERIA | EQUICONTINUITY | MATHEMATICS, APPLIED | LINDELOF PROPERTY | PONTRYAGIN DUALITY | LOCALLY COMPACT-GROUPS | BOUNDEDNESS | Locally k(omega)-group | MATHEMATICS | Cech-complete group

Locally [formula omitted]-group | Čech-complete group | Interpolation set | Bohr compactification | Bohr topology | Respects compactness | Locally k | group | TOPOLOGICAL-GROUPS | CRITERIA | EQUICONTINUITY | MATHEMATICS, APPLIED | LINDELOF PROPERTY | PONTRYAGIN DUALITY | LOCALLY COMPACT-GROUPS | BOUNDEDNESS | Locally k(omega)-group | MATHEMATICS | Cech-complete group

Journal Article

Topology and its Applications, ISSN 0166-8641, 12/2013, Volume 160, Issue 18, pp. 2314 - 2334

In the realm of topological automorphisms of totally disconnected locally compact groups, the scale function introduced by Willis in is compared with the...

Totally disconnected locally compact group | Automorphism | Scale function | Topological entropy | ADIC LIE-GROUPS | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | LOCALLY COMPACT-GROUPS | AUTOMORPHISMS

Totally disconnected locally compact group | Automorphism | Scale function | Topological entropy | ADIC LIE-GROUPS | MATHEMATICS | MATHEMATICS, APPLIED | SPACES | LOCALLY COMPACT-GROUPS | AUTOMORPHISMS

Journal Article

Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 02/2018, Volume 61, Issue 1, pp. 179 - 200

The century-old extremal problem, solved by Caratheodory and Fejer, concerns a non-negative trigonometric polynomial T(t) = a(0) + Sigma(k=1)n a(k) cos(2 pi...

convolution square | modular function | positive definite functions | CarathéodoryFejér extremal problem | Haar measure | locally compact topological groups | BochnerWeil theorem | convolution of functions and of measures | abstract harmonic analysis | FejérRiesz theorem | Caratheodory-Fejer extremal problem | AUTOMORPHISMS | Fejer-Riesz theorem | Bochner-Weil theorem | MATHEMATICS | CONTRACTION GROUPS | TURANS EXTREMAL PROBLEM | Mathematical analysis | Set theory | Maximization

convolution square | modular function | positive definite functions | CarathéodoryFejér extremal problem | Haar measure | locally compact topological groups | BochnerWeil theorem | convolution of functions and of measures | abstract harmonic analysis | FejérRiesz theorem | Caratheodory-Fejer extremal problem | AUTOMORPHISMS | Fejer-Riesz theorem | Bochner-Weil theorem | MATHEMATICS | CONTRACTION GROUPS | TURANS EXTREMAL PROBLEM | Mathematical analysis | Set theory | Maximization

Journal Article

Topology and its Applications, ISSN 0166-8641, 11/2016, Volume 213, pp. 92 - 109

Given a group , the symbol denotes the set of Hausdorff compact group topologies on . The authors ask: when , what are the possible cardinalities of a pairwise...

Orsatti group | Group topology | Topologically isomorphic groups | Compact topological group | Homeomorphic topological groups | Stewart group | MATHEMATICS | MATHEMATICS, APPLIED

Orsatti group | Group topology | Topologically isomorphic groups | Compact topological group | Homeomorphic topological groups | Stewart group | MATHEMATICS | MATHEMATICS, APPLIED

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 06/2004, Volume 132, Issue 6, pp. 1827 - 1837

The property of Dunford-Pettis for a locally convex space was introduced by Grothendieck in 1953. Since then it has been intensively studied, with especial...

Topological compactness | Topological theorems | Topological vector spaces | Topological properties | Mathematics | Mathematical duality | Topology | Banach space | General topology | Topological spaces | Locally convex space | Bohr topology | Schur property | Dual group | Dunford-Pettis property | Pontryagin reflexive | MATHEMATICS | MATHEMATICS, APPLIED | PONTRYAGIN DUALITY | dual group | locally convex space

Topological compactness | Topological theorems | Topological vector spaces | Topological properties | Mathematics | Mathematical duality | Topology | Banach space | General topology | Topological spaces | Locally convex space | Bohr topology | Schur property | Dual group | Dunford-Pettis property | Pontryagin reflexive | MATHEMATICS | MATHEMATICS, APPLIED | PONTRYAGIN DUALITY | dual group | locally convex space

Journal Article

Journal of the American Mathematical Society, ISSN 0894-0347, 01/2012, Volume 25, Issue 1, pp. 245 - 269

We then prove that the p \mathbb{F}_p-Selmer groups in certain families of quadratic twists, and the average size of 2-Selmer groups as computed by Bhargava...

Integers | Topological compactness | Homomorphisms | Heuristics | Mathematical duality | Direct products | Random variables | Jacobians | Symmetry | Shafarevich-tate group | Weil pairing | Maximal isotropic | Selmer group | Theta characteristic | Quadratic space | ELLIPTIC-CURVES | 2-SELMER GROUPS | FINITE-FIELDS | theta characteristic | quadratic space | Shafarevich-Tate group | HEURISTICS | MATHEMATICS | AVERAGE SIZE | CONGRUENT NUMBER PROBLEM | maximal isotropic

Integers | Topological compactness | Homomorphisms | Heuristics | Mathematical duality | Direct products | Random variables | Jacobians | Symmetry | Shafarevich-tate group | Weil pairing | Maximal isotropic | Selmer group | Theta characteristic | Quadratic space | ELLIPTIC-CURVES | 2-SELMER GROUPS | FINITE-FIELDS | theta characteristic | quadratic space | Shafarevich-Tate group | HEURISTICS | MATHEMATICS | AVERAGE SIZE | CONGRUENT NUMBER PROBLEM | maximal isotropic

Journal Article

1995, ISBN 9780387570570, Volume Folge 3, Bd. 29., ix, 383

Book

1990, Monographs and textbooks in pure and applied mathematics, ISBN 0824780477, Volume 130, x, 287 p. --

Book

1982, Lecture Notes in Mathematics, ISBN 9780387111889, Volume 908., iv, 325

Book

1975, Lecture notes in mathematics, ISBN 9780387071329, Volume 435., vi, 181

Book

1974, Lecture notes in mathematics, ISBN 9780387068558, Volume 401., 93

Book

1966, Saunders mathematics books, xi, 218

Book

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