Class information for:
Level 1: COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE

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
1123 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE 9999
24877 1                   COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE 321

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPLEX SYMMETRIC OPERATOR authKW 4924907 17% 95% 53
2 TRUNCATED TOEPLITZ OPERATOR authKW 1663316 7% 71% 24
3 MODEL SPACE authKW 691525 6% 39% 18
4 UECSM authKW 392731 1% 100% 4
5 SKEW SYMMETRIC OPERATOR authKW 370067 2% 54% 7
6 COMPLEX SYMMETRIC MATRIX authKW 331355 3% 38% 9
7 RIGID FUNCTIONS authKW 294548 1% 100% 3
8 STAR INVARIANT SUBSPACES authKW 261818 1% 67% 4
9 EQUIVALENCE AFTER EXTENSION authKW 220909 1% 75% 3
10 CARLESON INTERPOLATION authKW 196365 1% 100% 2

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14837 92% 0% 294
2 Mathematics, Applied 2250 34% 0% 108
3 Statistics & Probability 45 3% 0% 11
4 Physics, Mathematical 18 3% 0% 9
5 Mathematics, Interdisciplinary Applications -0 0% 0% 1
6 Physics, Multidisciplinary -2 1% 0% 3
7 Mechanics -2 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CAMILLE JORDANCNRSUMR5208 98183 0% 100% 1
2 INTERDISCIPLINARY SCI PHENOMENA INFORMA 98183 0% 100% 1
3 MATH BORDEUX 98183 0% 100% 1
4 ST PETERSBURG BRANCH POMT 98183 0% 100% 1
5 EQUIPE ANAL GEOMETRIE 65452 1% 33% 2
6 CNRS CAMILLE JORDANUMR 5208 49090 0% 50% 1
7 MATH COMP SCI PHYS ASTRON WINS 49090 0% 50% 1
8 ST PETERSBURG BRANCH POMI 49088 1% 25% 2
9 CMI LATP 40160 1% 14% 3
10 POMI 21815 1% 11% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 OPERATORS AND MATRICES 51056 5% 3% 16
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 18966 7% 1% 21
3 COMPLEX ANALYSIS AND OPERATOR THEORY 9307 2% 1% 8
4 JOURNAL OF OPERATOR THEORY 7469 3% 1% 10
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6654 11% 0% 34
6 INDAGATIONES MATHEMATICAE-NEW SERIES 6355 3% 1% 9
7 JOURNAL OF FUNCTIONAL ANALYSIS 3760 5% 0% 16
8 ANNALS OF FUNCTIONAL ANALYSIS 2845 1% 1% 3
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 2627 2% 0% 8
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2608 7% 0% 24

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMPLEX SYMMETRIC OPERATOR 4924907 17% 95% 53 Search COMPLEX+SYMMETRIC+OPERATOR Search COMPLEX+SYMMETRIC+OPERATOR
2 TRUNCATED TOEPLITZ OPERATOR 1663316 7% 71% 24 Search TRUNCATED+TOEPLITZ+OPERATOR Search TRUNCATED+TOEPLITZ+OPERATOR
3 MODEL SPACE 691525 6% 39% 18 Search MODEL+SPACE Search MODEL+SPACE
4 UECSM 392731 1% 100% 4 Search UECSM Search UECSM
5 SKEW SYMMETRIC OPERATOR 370067 2% 54% 7 Search SKEW+SYMMETRIC+OPERATOR Search SKEW+SYMMETRIC+OPERATOR
6 COMPLEX SYMMETRIC MATRIX 331355 3% 38% 9 Search COMPLEX+SYMMETRIC+MATRIX Search COMPLEX+SYMMETRIC+MATRIX
7 RIGID FUNCTIONS 294548 1% 100% 3 Search RIGID+FUNCTIONS Search RIGID+FUNCTIONS
8 STAR INVARIANT SUBSPACES 261818 1% 67% 4 Search STAR+INVARIANT+SUBSPACES Search STAR+INVARIANT+SUBSPACES
9 EQUIVALENCE AFTER EXTENSION 220909 1% 75% 3 Search EQUIVALENCE+AFTER+EXTENSION Search EQUIVALENCE+AFTER+EXTENSION
10 CARLESON INTERPOLATION 196365 1% 100% 2 Search CARLESON+INTERPOLATION Search CARLESON+INTERPOLATION

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 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL
2 17265 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK
3 31785 EVANESCENT RANDOM FIELDS//BACKWARD AND FORWARD MOVING AVERAGE REPRESENTATIONS//PREDICTION THEORY
4 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
5 19884 INTERPOLATING VARIETY//KORENBLUMS MAXIMUM PRINCIPLE//WEAKLY SUFFICIENT SET
6 30838 SINGULAR SPECTRUM ANALYSIS//SKEW CIRCULANT//HANKEL CIRCULANT
7 7483 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
8 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
9 1249 COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR
10 33503 CAUSAL MAPPINGS//ABSTRACT DIFFERENTIAL DELAY EQUATIONS//ABSTRACT NONLINEAR DIFFERENTIAL DELAY EQUATIONS

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