Class information for:
Level 1: FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR

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
684 3       UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//MEROMORPHIC FUNCTION 8711
3618 2             BENFORDS LAW//GREATEST TYPE DIVISOR//GCD MATRIX 1357
22573 1                   FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR 398

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FREDHOLMNESS authKW 719861 5% 45% 20
2 PIECEWISE SLOWLY OSCILLATING FUNCTION authKW 475123 2% 100% 6
3 KERZMAN STEIN OPERATOR authKW 329945 1% 83% 5
4 LOCAL TRAJECTORY METHOD authKW 329945 1% 83% 5
5 MELLIN PSEUDODIFFERENTIAL OPERATOR authKW 316749 1% 100% 4
6 ORIENTATION PRESERVING NON CARLEMAN SHIFT authKW 237561 1% 100% 3
7 SINGULAR INTEGRAL OPERATOR WITH SHIFTS authKW 237561 1% 100% 3
8 TWO IDEMPOTENTS THEOREM authKW 237561 1% 100% 3
9 TWO PROJECTIONS THEOREM authKW 237561 1% 100% 3
10 LOCAL PRINCIPLE authKW 197963 1% 50% 5

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14191 81% 0% 321
2 Multidisciplinary Sciences 2637 14% 0% 56
3 Mathematics, Applied 575 16% 0% 64
4 Mechanics 3 2% 0% 8
5 Engineering, General 1 1% 0% 4
6 Physics, Mathematical 0 1% 0% 4
7 Acoustics -0 0% 0% 1
8 Geochemistry & Geophysics -1 0% 0% 1
9 Materials Science, Multidisciplinary -8 1% 0% 5
10 Engineering, Electrical & Electronic -10 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL FUNC ESTRUT LINEA LICACOES 79187 0% 100% 1
2 CEAF SUPER TECN 79187 0% 100% 1
3 NAT POLIT 79187 0% 100% 1
4 VLADIMIR STATE PEDAGOG UNIV 79187 0% 100% 1
5 HYDROACOUST 54817 1% 23% 3
6 ANAL FUNC ESTRUTURAS LINEA LICACOES CE 39593 0% 50% 1
7 MATH LICACOES 39593 0% 50% 1
8 SIEMENS BUSINESS SERV 39593 0% 50% 1
9 INVEST CIENCIAS 34335 2% 7% 6
10 BORDELAIS ANAL GEOMET 26394 0% 33% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 133503 16% 3% 62
2 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 48892 6% 3% 23
3 DIFFERENTIAL EQUATIONS 13770 7% 1% 26
4 MATHEMATICS OF THE USSR-IZVESTIYA 10120 2% 2% 8
5 DOKLADY AKADEMII NAUK SSSR 9889 13% 0% 52
6 MATHEMATICS OF THE USSR-SBORNIK 7214 2% 1% 8
7 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 6488 3% 1% 12
8 MATHEMATISCHE NACHRICHTEN 6184 5% 0% 18
9 DOKLADY AKADEMII NAUK BELARUSI 4640 3% 0% 13
10 RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS 2196 1% 1% 2

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FREDHOLMNESS 719861 5% 45% 20 Search FREDHOLMNESS Search FREDHOLMNESS
2 PIECEWISE SLOWLY OSCILLATING FUNCTION 475123 2% 100% 6 Search PIECEWISE+SLOWLY+OSCILLATING+FUNCTION Search PIECEWISE+SLOWLY+OSCILLATING+FUNCTION
3 KERZMAN STEIN OPERATOR 329945 1% 83% 5 Search KERZMAN+STEIN+OPERATOR Search KERZMAN+STEIN+OPERATOR
4 LOCAL TRAJECTORY METHOD 329945 1% 83% 5 Search LOCAL+TRAJECTORY+METHOD Search LOCAL+TRAJECTORY+METHOD
5 MELLIN PSEUDODIFFERENTIAL OPERATOR 316749 1% 100% 4 Search MELLIN+PSEUDODIFFERENTIAL+OPERATOR Search MELLIN+PSEUDODIFFERENTIAL+OPERATOR
6 ORIENTATION PRESERVING NON CARLEMAN SHIFT 237561 1% 100% 3 Search ORIENTATION+PRESERVING+NON+CARLEMAN+SHIFT Search ORIENTATION+PRESERVING+NON+CARLEMAN+SHIFT
7 SINGULAR INTEGRAL OPERATOR WITH SHIFTS 237561 1% 100% 3 Search SINGULAR+INTEGRAL+OPERATOR+WITH+SHIFTS Search SINGULAR+INTEGRAL+OPERATOR+WITH+SHIFTS
8 TWO IDEMPOTENTS THEOREM 237561 1% 100% 3 Search TWO+IDEMPOTENTS+THEOREM Search TWO+IDEMPOTENTS+THEOREM
9 TWO PROJECTIONS THEOREM 237561 1% 100% 3 Search TWO+PROJECTIONS+THEOREM Search TWO+PROJECTIONS+THEOREM
10 LOCAL PRINCIPLE 197963 1% 50% 5 Search LOCAL+PRINCIPLE Search LOCAL+PRINCIPLE

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 21539 SPECTRAL POLLUTION//BAND DOMINATED OPERATORS//LIMIT OPERATORS
2 38740 SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES
3 20117 WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS
4 18923 MECHANICAL QUADRATURE METHOD//RIGID RIBBON//SPLITTING EXTRAPOLATION ALGORITHM
5 37420 ABELFUNCTION//INFRA LOGARITHM FUNCTIONS//ULTRA EXPONENTIAL FUNCTIONAL EQUATION
6 32126 INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX
7 37636 PL MATH AUTOMAT//STERLITAMAK STATE PEDAG//KABARDINO BALKAR SCI
8 19798 GENERALIZED MODULUS OF CONTINUITY//K FUNCTIONAL//MODULI OF SMOOTHNESS
9 12040 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
10 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL

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