Class information for:
Level 1: TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM

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
16643 1                   TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM 669

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TOEPLITZ OPERATOR authKW 3818338 33% 37% 222
2 BERGMAN SPACE authKW 1278912 17% 24% 112
3 BEREZIN TRANSFORM authKW 940351 7% 43% 46
4 BEREZIN SYMBOL authKW 876946 3% 85% 22
5 DUAL TOEPLITZ OPERATOR authKW 565308 2% 100% 12
6 REDUCING SUBSPACE authKW 461468 3% 43% 23
7 HARMONIC BERGMAN SPACE authKW 378541 2% 54% 15
8 ESSENTIAL COMMUTANT authKW 376872 1% 100% 8
9 QUASIHOMOGENEOUS SYMBOLS authKW 334996 1% 89% 8
10 DIRICHLET SPACE authKW 314389 4% 23% 29

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 34441 97% 0% 646
2 Mathematics, Applied 4641 33% 0% 224
3 Multidisciplinary Sciences 5 1% 0% 5
4 Computer Science, Cybernetics 0 0% 0% 1
5 Physics, Mathematical -0 1% 0% 5
6 Statistics & Probability -0 0% 0% 3
7 Physics, Multidisciplinary -8 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ISPARTA MYO VOCAT 141327 0% 100% 3
2 ISPARTA VOCAT 121131 1% 43% 6
3 KING JEONGJO LIBERAL ARTS 94218 0% 100% 2
4 HEBEI PROV COMPUTAT MATH PLICAT 62811 0% 67% 2
5 GUANGDONG HIGHTER EDUC 47109 0% 100% 1
6 HYDROACOUST BRANCH 47109 0% 100% 1
7 MATH INFORMAT SCI MATH INTERDIS 47109 0% 100% 1
8 NONLINEAR CONTROLS ROBOT NCR 23554 0% 50% 1
9 HYDROACOUST 14492 0% 15% 2
10 MATH 14264 55% 0% 365

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 227797 16% 5% 105
2 COMPLEX ANALYSIS AND OPERATOR THEORY 58726 4% 4% 29
3 JOURNAL OF FUNCTIONAL ANALYSIS 24625 9% 1% 59
4 JOURNAL OF OPERATOR THEORY 15805 3% 2% 21
5 ACTA MATHEMATICA SINICA-ENGLISH SERIES 9208 3% 1% 23
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6876 7% 0% 50
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6583 8% 0% 55
8 JOURNAL OF FUNCTION SPACES 5430 1% 2% 7
9 BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 4918 1% 2% 5
10 STUDIA MATHEMATICA 4552 3% 1% 17

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TOEPLITZ OPERATOR 3818338 33% 37% 222 Search TOEPLITZ+OPERATOR Search TOEPLITZ+OPERATOR
2 BERGMAN SPACE 1278912 17% 24% 112 Search BERGMAN+SPACE Search BERGMAN+SPACE
3 BEREZIN TRANSFORM 940351 7% 43% 46 Search BEREZIN+TRANSFORM Search BEREZIN+TRANSFORM
4 BEREZIN SYMBOL 876946 3% 85% 22 Search BEREZIN+SYMBOL Search BEREZIN+SYMBOL
5 DUAL TOEPLITZ OPERATOR 565308 2% 100% 12 Search DUAL+TOEPLITZ+OPERATOR Search DUAL+TOEPLITZ+OPERATOR
6 REDUCING SUBSPACE 461468 3% 43% 23 Search REDUCING+SUBSPACE Search REDUCING+SUBSPACE
7 HARMONIC BERGMAN SPACE 378541 2% 54% 15 Search HARMONIC+BERGMAN+SPACE Search HARMONIC+BERGMAN+SPACE
8 ESSENTIAL COMMUTANT 376872 1% 100% 8 Search ESSENTIAL+COMMUTANT Search ESSENTIAL+COMMUTANT
9 QUASIHOMOGENEOUS SYMBOLS 334996 1% 89% 8 Search QUASIHOMOGENEOUS+SYMBOLS Search QUASIHOMOGENEOUS+SYMBOLS
10 DIRICHLET SPACE 314389 4% 23% 29 Search DIRICHLET+SPACE Search DIRICHLET+SPACE

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 1249 COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR
2 32126 INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX
3 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
4 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL
5 17265 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK
6 37375 SWISS CHEESES//LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED
7 12776 DEFORMATION QUANTIZATION//KAHLER METRICS//STAR PRODUCT
8 24877 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
9 21455 LEBESGUE TYPE DECOMPOSITION//KATEDRA ZASTOSOWAN MATEMAT//WEIGHTED SHIFT ON A DIRECTED TREE
10 20725 SHEARLETS//NUMER HARMON ANAL GRP NUHAG//CURVELETS

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