Class information for:
Level 2: COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN 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
1249 1                   COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR 2782
4915 1                   INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY 1731
7483 1                   WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM 1388
13656 1                   GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS 852
16643 1                   TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM 669
17265 1                   CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK 636
19884 1                   INTERPOLATING VARIETY//KORENBLUMS MAXIMUM PRINCIPLE//WEAKLY SUFFICIENT SET 508
21455 1                   LEBESGUE TYPE DECOMPOSITION//KATEDRA ZASTOSOWAN MATEMAT//WEIGHTED SHIFT ON A DIRECTED TREE 442
24877 1                   COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE 321
24902 1                   2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL 321
30174 1                   OPTIMIZAT SYST THEORY//RATIONAL COVARIANCE EXTENSION//COVARIANCE EXTENSION 188
31785 1                   EVANESCENT RANDOM FIELDS//BACKWARD AND FORWARD MOVING AVERAGE REPRESENTATIONS//PREDICTION THEORY 161

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPOSITION OPERATOR authKW 1155084 5% 75% 486
2 TOEPLITZ OPERATOR authKW 971130 4% 71% 433
3 BERGMAN SPACE authKW 928235 4% 80% 369
4 INTEGRAL EQUATIONS AND OPERATOR THEORY journal 879543 8% 35% 798
5 WEIGHTED COMPOSITION OPERATOR authKW 532153 2% 80% 212
6 BLOCH SPACE authKW 494736 2% 92% 170
7 MATHEMATICS WoSSC 462287 92% 2% 9159
8 WEIGHTED BERGMAN SPACE authKW 391094 1% 86% 144
9 BLOCH TYPE SPACE authKW 390628 1% 99% 125
10 ESSENTIAL NORM authKW 381628 1% 91% 133

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 462287 92% 2% 9159
2 Mathematics, Applied 61953 32% 1% 3172
3 Automation & Control Systems 144 1% 0% 121
4 Multidisciplinary Sciences 115 1% 0% 86
5 Statistics & Probability 49 1% 0% 111
6 Computer Science, Theory & Methods 1 1% 0% 82
7 Physics, Mathematical -3 1% 0% 60
8 Logic -3 0% 0% 1
9 Computer Science, Cybernetics -4 0% 0% 3
10 Social Sciences, Mathematical Methods -11 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH 118799 41% 1% 4106
2 KATEDRA ZASTOSOWAN MATEMAT 40951 0% 100% 13
3 FAK ALLGEMEINWISSEN 33267 0% 81% 13
4 MATEMAT LICADA ANAL 27637 1% 14% 64
5 ST PETERSBURG BRANCH POMI 25200 0% 100% 8
6 ANAL MATEMAT 24934 1% 5% 147
7 MATH LENS EA 2462 19278 0% 44% 14
8 PAUL PAINLEVE UMR CNRS 8524 16795 0% 67% 8
9 FEDERAT CNRS NORD PAS DE CALAIS FR 2956 16560 0% 48% 11
10 OPTIMIZAT SYST THEORY 16143 0% 22% 23

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 879543 8% 35% 798
2 JOURNAL OF OPERATOR THEORY 244027 3% 24% 319
3 COMPLEX ANALYSIS AND OPERATOR THEORY 179265 2% 29% 196
4 JOURNAL OF FUNCTIONAL ANALYSIS 115069 5% 7% 494
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 96946 7% 4% 726
6 STUDIA MATHEMATICA 69065 3% 9% 256
7 OPERATORS AND MATRICES 60086 1% 20% 97
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 58235 6% 3% 634
9 MICHIGAN MATHEMATICAL JOURNAL 44763 1% 10% 145
10 INDIANA UNIVERSITY MATHEMATICS JOURNAL 43064 2% 8% 181

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 COMPOSITION OPERATOR 1155084 5% 75% 486 Search COMPOSITION+OPERATOR Search COMPOSITION+OPERATOR
2 TOEPLITZ OPERATOR 971130 4% 71% 433 Search TOEPLITZ+OPERATOR Search TOEPLITZ+OPERATOR
3 BERGMAN SPACE 928235 4% 80% 369 Search BERGMAN+SPACE Search BERGMAN+SPACE
4 WEIGHTED COMPOSITION OPERATOR 532153 2% 80% 212 Search WEIGHTED+COMPOSITION+OPERATOR Search WEIGHTED+COMPOSITION+OPERATOR
5 BLOCH SPACE 494736 2% 92% 170 Search BLOCH+SPACE Search BLOCH+SPACE
6 WEIGHTED BERGMAN SPACE 391094 1% 86% 144 Search WEIGHTED+BERGMAN+SPACE Search WEIGHTED+BERGMAN+SPACE
7 BLOCH TYPE SPACE 390628 1% 99% 125 Search BLOCH+TYPE+SPACE Search BLOCH+TYPE+SPACE
8 ESSENTIAL NORM 381628 1% 91% 133 Search ESSENTIAL+NORM Search ESSENTIAL+NORM
9 HARDY SPACE 345028 3% 32% 340 Search HARDY+SPACE Search HARDY+SPACE
10 CARLESON MEASURE 294533 2% 62% 152 Search CARLESON+MEASURE Search CARLESON+MEASURE

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 3463 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
2 1747 PRIME RING//DERIVATION//GENERALIZED DERIVATION
3 1525 MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION
4 2912 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA
5 2258 UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS
6 1074 MATHEMATICS//ANAL MATEMAT//STUDIA MATHEMATICA
7 1020 C ALGEBRA//MATHEMATICS//CROSSED PRODUCT
8 1812 LINEAR ALGEBRA AND ITS APPLICATIONS//DRAZIN INVERSE//GROUP INVERSE
9 3618 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD MATRIX
10 2807 MULTISUMMABILITY//BOREL SUMMABILITY//ULTRADIFFERENTIABLE FUNCTIONS

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