Class information for:
Level 1: FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8786 1217 18.2 33%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
8786 1                   FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT 1217

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 FOURIER ALGEBRA authKW 1910876 8% 79% 96
2 LOCALLY COMPACT GROUP authKW 1274830 10% 43% 118
3 ARENS PRODUCT authKW 851082 3% 81% 42
4 AMENABILITY authKW 718713 7% 35% 81
5 ARENS REGULARITY authKW 709130 3% 91% 31
6 BANACH ALGEBRA authKW 701061 10% 22% 126
7 WEAK AMENABILITY authKW 537606 2% 71% 30
8 FOURIER STIELTJES ALGEBRA authKW 512970 3% 66% 31
9 SEMIGROUP ALGEBRA authKW 504190 4% 47% 43
10 TOPOLOGICAL CENTER authKW 362277 2% 76% 19

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 61871 96% 0% 1165
2 Mathematics, Applied 3026 21% 0% 251
3 Statistics & Probability 1 1% 0% 10
4 Multidisciplinary Sciences 1 0% 0% 5
5 Logic 0 0% 0% 1
6 Physics, Mathematical 0 1% 0% 10
7 History & Philosophy of Science -0 0% 0% 1
8 Physics, Multidisciplinary -0 2% 0% 21
9 Materials Science, Biomaterials -2 0% 0% 1
10 Mathematics, Interdisciplinary Applications -4 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 PURE MATH 82992 8% 3% 97
2 HERZBERG S 4364 50178 0% 100% 2
3 MATH STAT SCI 32006 5% 2% 57
4 CEAAS 27831 1% 10% 11
5 CHAIR FUNCT THEORY FUNCT ANAL 25089 0% 100% 1
6 CHAIRE ANAL HARMON REP ENTAT UNITAI 25089 0% 100% 1
7 MATH PAUL PAINLEVEUFR MATH 25089 0% 100% 1
8 PENYELIDIKAN MATEMAT 25089 0% 100% 1
9 SECT PURE MATH 25089 0% 100% 1
10 RAMANUJAN ADV STUDY MATH 12934 1% 6% 8

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 STUDIA MATHEMATICA 32918 5% 2% 62
2 SEMIGROUP FORUM 30405 4% 2% 53
3 JOURNAL OF FUNCTIONAL ANALYSIS 27209 7% 1% 84
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 19387 9% 1% 114
5 BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY 16018 2% 3% 21
6 UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS 15833 2% 3% 21
7 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 15247 4% 1% 45
8 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 10708 3% 1% 37
9 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 10022 3% 1% 38
10 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 9547 2% 2% 21

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 FOURIER ALGEBRA 1910876 8% 79% 96 Search FOURIER+ALGEBRA Search FOURIER+ALGEBRA
2 LOCALLY COMPACT GROUP 1274830 10% 43% 118 Search LOCALLY+COMPACT+GROUP Search LOCALLY+COMPACT+GROUP
3 ARENS PRODUCT 851082 3% 81% 42 Search ARENS+PRODUCT Search ARENS+PRODUCT
4 AMENABILITY 718713 7% 35% 81 Search AMENABILITY Search AMENABILITY
5 ARENS REGULARITY 709130 3% 91% 31 Search ARENS+REGULARITY Search ARENS+REGULARITY
6 BANACH ALGEBRA 701061 10% 22% 126 Search BANACH+ALGEBRA Search BANACH+ALGEBRA
7 WEAK AMENABILITY 537606 2% 71% 30 Search WEAK+AMENABILITY Search WEAK+AMENABILITY
8 FOURIER STIELTJES ALGEBRA 512970 3% 66% 31 Search FOURIER+STIELTJES+ALGEBRA Search FOURIER+STIELTJES+ALGEBRA
9 SEMIGROUP ALGEBRA 504190 4% 47% 43 Search SEMIGROUP+ALGEBRA Search SEMIGROUP+ALGEBRA
10 TOPOLOGICAL CENTER 362277 2% 76% 19 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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 DALES, HG , LAU, ATM , STRAUSS, D , (2010) BANACH ALGEBRAS ON SEMIGROUPS AND ON THEIR COMPACTIFICATIONS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 205. ISSUE 966. P. 1 -+ 54 75% 24
2 DALES, HG , LAU, ATM , (2005) THE SECOND DUALS OF BEURLING ALGEBRAS - INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 177. ISSUE 836. P. 1 -+ 55 82% 12
3 MEWOMO, OT , (2011) VARIOUS NOTIONS OF AMENABILITY IN BANACH ALGEBRAS.EXPOSITIONES MATHEMATICAE. VOL. 29. ISSUE 3. P. 283 -299 38 95% 0
4 DALES, HG , DEDANIA, HV , (2009) WEIGHTED CONVOLUTION ALGEBRAS ON SUBSEMIGROUPS OF THE REAL LINE.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 459. P. 5 -+ 33 97% 2
5 DALES, HG , LAU, ATM , STRAUSS, D , (2012) SECOND DUALS OF MEASURE ALGEBRAS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 481. P. 1 -121 32 82% 6
6 LOY, RJ , DALES, HG , (2010) APPROXIMATE AMENABILITY OF SEMIGROUP ALGEBRAS AND SEGAL ALGEBRAS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 474. P. 5 -+ 26 93% 6
7 STOKKE, R , (2015) AMENABILITY AND MODULES FOR ARENS PRODUCT ALGEBRAS.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 1. P. 295 -321 23 92% 1
8 LEE, HH , LUDWIG, J , SAMEI, E , SPRONK, N , (2016) WEAK AMENABILITY OF FOURIER ALGEBRAS AND LOCAL SYNTHESIS OF THE ANTI-DIAGONAL.ADVANCES IN MATHEMATICS. VOL. 292. ISSUE . P. 11 -41 21 100% 0
9 HU, Z , MONFARED, MS , TRAYNOR, T , (2009) ON CHARACTER AMENABLE BANACH ALGEBRAS.STUDIA MATHEMATICA. VOL. 193. ISSUE 1. P. 53-78 21 95% 36
10 NASR-ISFAHANI, R , SHAHMORADI, S , RENANI, SS , (2016) WEAK AMENABILITY OF BANACH ALGEBRAS WITH RESPECT TO CHARACTERS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 23. ISSUE 4. P. 545 -558 19 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 20125 STONE CECH COMPACTIFICATION//ULTRAFILTER SEMIGROUP//SEMIGROUP COMPACTIFICATION
2 25823 HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS
3 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
4 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
5 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
6 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
7 25561 MOUFANG SET//CHABAUTY TOPOLOGY//PRO LIE GROUP
8 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
9 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
10 32058 SYST VNIISI//LOCALLY BOUNDED MAP//PURE PSEUDOREPRESENTATION

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