Class information for:
Level 2: FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
2912 2             FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA 3006
8299 1                   FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT 1296
18546 1                   INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE 570
20298 1                   STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION 488
23823 1                   MIKUSINSKI OPERATORS//ARENS MICHAEL REPRESENTATION//WEAK STAR CONTINUITY 356
32101 1                   UNIQUENESS OF NORM//TRANSLATION INVARIANT FUNCTIONALS//LACUNARY SEQUENCE OF PARTIAL SUMS 156
33270 1                   SYST VNIISI//PURE PSEUDOREPRESENTATION//VNIISI 140

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FOURIER ALGEBRA authKW 927403 4% 83% 106
2 LOCALLY COMPACT GROUP authKW 678309 5% 47% 137
3 BANACH ALGEBRA authKW 514909 6% 29% 172
4 ARENS PRODUCT authKW 400508 1% 85% 45
5 STONE CECH COMPACTIFICATION authKW 376599 3% 47% 77
6 AMENABILITY authKW 343004 3% 37% 89
7 WEAK AMENABILITY authKW 298625 1% 81% 35
8 ARENS REGULARITY authKW 298170 1% 89% 32
9 SEMIGROUP ALGEBRA authKW 254188 2% 51% 48
10 TOPOLOGICAL CENTER authKW 241522 1% 96% 24

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 150370 95% 1% 2862
2 Mathematics, Applied 7939 21% 0% 638
3 Logic 146 1% 0% 16
4 Physics, Mathematical 24 2% 0% 46
5 Multidisciplinary Sciences 10 1% 0% 18
6 Statistics & Probability 3 1% 0% 24
7 Computer Science, Cybernetics -1 0% 0% 1
8 Philosophy -2 0% 0% 4
9 History & Philosophy of Science -2 0% 0% 1
10 Materials Science, Biomaterials -6 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SYST VNIISI 178207 1% 100% 17
2 PURE MATH 133307 6% 7% 195
3 MATH STAT SCI 25985 3% 3% 83
4 MATH 23218 33% 0% 1003
5 HERZBERG S 4364 20966 0% 100% 2
6 MATH ANAL GEOMETRY 20966 0% 100% 2
7 VNIISI 20966 0% 100% 2
8 UP A 5467 20962 0% 50% 4
9 GUZELYURT KKTC 18867 0% 60% 3
10 CEAAS 15249 0% 11% 13

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEMIGROUP FORUM 131480 6% 7% 172
2 STUDIA MATHEMATICA 93501 5% 5% 163
3 JOURNAL OF FUNCTIONAL ANALYSIS 31168 5% 2% 141
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 30435 7% 1% 223
5 JOURNAL OF OPERATOR THEORY 19104 2% 4% 49
6 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 15593 1% 4% 35
7 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 12433 2% 2% 66
8 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 11192 2% 2% 59
9 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 10764 2% 2% 59
10 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 9299 1% 3% 26

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FOURIER ALGEBRA 927403 4% 83% 106 Search FOURIER+ALGEBRA Search FOURIER+ALGEBRA
2 LOCALLY COMPACT GROUP 678309 5% 47% 137 Search LOCALLY+COMPACT+GROUP Search LOCALLY+COMPACT+GROUP
3 BANACH ALGEBRA 514909 6% 29% 172 Search BANACH+ALGEBRA Search BANACH+ALGEBRA
4 ARENS PRODUCT 400508 1% 85% 45 Search ARENS+PRODUCT Search ARENS+PRODUCT
5 STONE CECH COMPACTIFICATION 376599 3% 47% 77 Search STONE+CECH+COMPACTIFICATION Search STONE+CECH+COMPACTIFICATION
6 AMENABILITY 343004 3% 37% 89 Search AMENABILITY Search AMENABILITY
7 WEAK AMENABILITY 298625 1% 81% 35 Search WEAK+AMENABILITY Search WEAK+AMENABILITY
8 ARENS REGULARITY 298170 1% 89% 32 Search ARENS+REGULARITY Search ARENS+REGULARITY
9 SEMIGROUP ALGEBRA 254188 2% 51% 48 Search SEMIGROUP+ALGEBRA Search SEMIGROUP+ALGEBRA
10 TOPOLOGICAL CENTER 241522 1% 96% 24 Search TOPOLOGICAL+CENTER Search TOPOLOGICAL+CENTER

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 2


rank cluster_id2 link
1 1747 PRIME RING//DERIVATION//GENERALIZED DERIVATION
2 4176 CHABAUTY TOPOLOGY//IDEMPOTENT DISTRIBUTION//INDEPENDENT LINEAR STATISTICS
3 1020 C ALGEBRA//MATHEMATICS//CROSSED PRODUCT
4 3463 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
5 1074 MATHEMATICS//ANAL MATEMAT//STUDIA MATHEMATICA
6 2680 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
7 2619 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
8 1123 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE
9 2998 INFINITE DIMENSIONAL LIE GROUP//ALGEBRAIC QUANTUM FIELD THEORY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
10 4177 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM

Go to start page