Class information for:
Level 1: INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX

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
170 3       MATHEMATICS//JOURNAL OF ALGEBRA//MATH 59224
1020 2             C ALGEBRA//MATHEMATICS//CROSSED PRODUCT 10592
32126 1                   INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX 156

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INDICIAL TRIPLE authKW 606095 2% 100% 3
2 DIAGONAL INVARIANT IDEAL authKW 404064 1% 100% 2
3 GENERALIZED FREDHOLM INDEX authKW 404064 1% 100% 2
4 HEREDITARY AND DIRECTED SET authKW 404064 1% 100% 2
5 INDUCED IDEAL authKW 404064 1% 100% 2
6 SINGLE GENERATORS authKW 404064 1% 100% 2
7 WIENER HOPF C ALGEBRAS authKW 404064 1% 100% 2
8 FUNCTIONAL HILBERT SPACES authKW 269374 1% 67% 2
9 ALPHA INVARIANT IDEAL authKW 202032 1% 100% 1
10 COMPACT GROUPS WITH ORDERED DUALS authKW 202032 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8071 97% 0% 151
2 Mathematics, Applied 224 16% 0% 25
3 Multidisciplinary Sciences 15 2% 0% 3
4 Education & Educational Research 2 1% 0% 2
5 Statistics & Probability 0 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 EQUIPE ALAIN CONNES 202032 1% 100% 1
2 FR 2964 16834 1% 8% 1
3 UMR 7349 5770 1% 3% 1
4 MATH NONLINEAR SCI 2106 1% 1% 2
5 PROBLEMS MECH 690 1% 0% 2
6 MATH 658 25% 0% 39
7 MATH INTERDISCIPLINARY SCI 540 1% 0% 1
8 SCI LETTERS 276 1% 0% 2
9 GUANGDONG HIGHER EDUC 200 1% 0% 1
10 HBEREICH MATH 59 1% 0% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 35436 13% 1% 20
2 JOURNAL OF OPERATOR THEORY 15391 6% 1% 10
3 EDUCATIONAL RESEARCH QUARTERLY 13693 1% 3% 2
4 JOURNAL OF FUNCTIONAL ANALYSIS 6828 10% 0% 15
5 BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY 3171 3% 0% 4
6 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 2844 1% 1% 1
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2662 10% 0% 15
8 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2162 6% 0% 10
9 MATHEMATICS OF THE USSR-IZVESTIYA 1612 1% 0% 2
10 PACIFIC JOURNAL OF MATHEMATICS 1558 4% 0% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INDICIAL TRIPLE 606095 2% 100% 3 Search INDICIAL+TRIPLE Search INDICIAL+TRIPLE
2 DIAGONAL INVARIANT IDEAL 404064 1% 100% 2 Search DIAGONAL+INVARIANT+IDEAL Search DIAGONAL+INVARIANT+IDEAL
3 GENERALIZED FREDHOLM INDEX 404064 1% 100% 2 Search GENERALIZED+FREDHOLM+INDEX Search GENERALIZED+FREDHOLM+INDEX
4 HEREDITARY AND DIRECTED SET 404064 1% 100% 2 Search HEREDITARY+AND+DIRECTED+SET Search HEREDITARY+AND+DIRECTED+SET
5 INDUCED IDEAL 404064 1% 100% 2 Search INDUCED+IDEAL Search INDUCED+IDEAL
6 SINGLE GENERATORS 404064 1% 100% 2 Search SINGLE+GENERATORS Search SINGLE+GENERATORS
7 WIENER HOPF C ALGEBRAS 404064 1% 100% 2 Search WIENER+HOPF+C+ALGEBRAS Search WIENER+HOPF+C+ALGEBRAS
8 FUNCTIONAL HILBERT SPACES 269374 1% 67% 2 Search FUNCTIONAL+HILBERT+SPACES Search FUNCTIONAL+HILBERT+SPACES
9 ALPHA INVARIANT IDEAL 202032 1% 100% 1 Search ALPHA+INVARIANT+IDEAL Search ALPHA+INVARIANT+IDEAL
10 COMPACT GROUPS WITH ORDERED DUALS 202032 1% 100% 1 Search COMPACT+GROUPS+WITH+ORDERED+DUALS Search COMPACT+GROUPS+WITH+ORDERED+DUALS

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 1



rank cluster_id2 link
1 7866 BAUM CONNES CONJECTURE//TWISTED K THEORY//FELL BUNDLE
2 7224 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//CUNTZ KRIEGER ALGEBRA
3 16643 TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM
4 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
5 5969 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
6 22573 FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR
7 21539 SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS
8 29808 LEFT INVARIANT DIFFERENTIAL OPERATORS//NORMAL J ALGEBRA//EVOLUTION KERNEL
9 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
10 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL

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