Class information for:
Level 1: POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP

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
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
2452 2             DUNKL TRANSFORM//DUNKL OPERATORS//DEFORMATION QUANTIZATION 4278
27465 1                   POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP 248

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POTENTIAL TYPE OPERATORS authKW 677775 3% 67% 8
2 APPROXIMATIVE INVERSE OPERATORS authKW 406667 2% 80% 4
3 METAHARMONIC SEMIGROUP authKW 381251 1% 100% 3
4 PARABOLIC POTENTIALS authKW 381251 1% 100% 3
5 RIESZ POTENTIAL SPACES authKW 381251 1% 100% 3
6 WAVELET TYPE TRANSFORM authKW 381251 1% 100% 3
7 BESSEL POTENTIALS authKW 283041 3% 32% 7
8 GENERALIZED TRANSLATION OPERATOR authKW 264752 2% 42% 5
9 APPROXIMATING INVERSE OPERATORS authKW 254168 1% 100% 2
10 FLEXIBLE LAMBDA HORN authKW 254168 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8661 80% 0% 198
2 Multidisciplinary Sciences 1956 15% 0% 38
3 Mathematics, Applied 361 16% 0% 40
4 Statistics & Probability 15 2% 0% 6
5 Physics, Mathematical 5 2% 0% 5
6 Mechanics 2 2% 0% 5
7 Mathematics, Interdisciplinary Applications -0 0% 0% 1
8 Computer Science, Information Systems -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANAL FUNC 127084 0% 100% 1
2 ROSTOV 127084 0% 100% 1
3 SOUTH FED UNIV 127084 0% 100% 1
4 VOLGA STATE WATER TRANSPORT 127084 0% 100% 1
5 DIFFERENTIAL INTEGRAL EQUAT 63541 0% 50% 1
6 CHAIR DIFFERENTIAL EQUAT 31769 0% 25% 1
7 PL MATH INFORMAT MECH 31769 0% 25% 1
8 ENGN TECHNOL NAT SCI 25415 0% 20% 1
9 MATH MECH 7766 6% 0% 15
10 CEAF 7474 0% 6% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 85468 10% 3% 24
2 DOKLADY MATHEMATICS 19396 9% 1% 22
3 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 14195 5% 1% 12
4 DIFFERENTIAL EQUATIONS 9449 7% 0% 17
5 DOKLADY AKADEMII NAUK SSSR 8045 15% 0% 37
6 DOKLADY AKADEMII NAUK 5097 8% 0% 19
7 MATHEMATICAL NOTES 4856 6% 0% 14
8 SIBERIAN MATHEMATICAL JOURNAL 4081 4% 0% 10
9 MATHEMATISCHE NACHRICHTEN 2478 4% 0% 9
10 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 1955 2% 0% 4

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POTENTIAL TYPE OPERATORS 677775 3% 67% 8 Search POTENTIAL+TYPE+OPERATORS Search POTENTIAL+TYPE+OPERATORS
2 APPROXIMATIVE INVERSE OPERATORS 406667 2% 80% 4 Search APPROXIMATIVE+INVERSE+OPERATORS Search APPROXIMATIVE+INVERSE+OPERATORS
3 METAHARMONIC SEMIGROUP 381251 1% 100% 3 Search METAHARMONIC+SEMIGROUP Search METAHARMONIC+SEMIGROUP
4 PARABOLIC POTENTIALS 381251 1% 100% 3 Search PARABOLIC+POTENTIALS Search PARABOLIC+POTENTIALS
5 RIESZ POTENTIAL SPACES 381251 1% 100% 3 Search RIESZ+POTENTIAL+SPACES Search RIESZ+POTENTIAL+SPACES
6 WAVELET TYPE TRANSFORM 381251 1% 100% 3 Search WAVELET+TYPE+TRANSFORM Search WAVELET+TYPE+TRANSFORM
7 BESSEL POTENTIALS 283041 3% 32% 7 Search BESSEL+POTENTIALS Search BESSEL+POTENTIALS
8 GENERALIZED TRANSLATION OPERATOR 264752 2% 42% 5 Search GENERALIZED+TRANSLATION+OPERATOR Search GENERALIZED+TRANSLATION+OPERATOR
9 APPROXIMATING INVERSE OPERATORS 254168 1% 100% 2 Search APPROXIMATING+INVERSE+OPERATORS Search APPROXIMATING+INVERSE+OPERATORS
10 FLEXIBLE LAMBDA HORN 254168 1% 100% 2 Search FLEXIBLE+LAMBDA+HORN Search FLEXIBLE+LAMBDA+HORN

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 26479 HOROSPHERICAL TRANSFORM//INVERSION FORMULA//RADON TRANSFORM
2 19798 GENERALIZED MODULUS OF CONTINUITY//K FUNCTIONAL//MODULI OF SMOOTHNESS
3 9548 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
4 31893 ANISOTROPIC SINGULAR PERTURBATIONS//GENERALIZED INITIAL DATA//SHILOV PARABOLIC SYSTEMS WITH VARIABLE COEFFICIENTS
5 29424 DIRAC HYDROGEN ATOM//QUANTIZED MAGNETIC FLUX//HYPOTHESIS FOR GENERALIZED GRAVITATIONAL THEORY
6 34586 KOLMOGOROV NIKOLSKII PROBLEM//AIRFRAME GLOBAL SOLUT//AKHIEZER KREIN FAVARD INEQUALITY
7 29605 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
8 23211 NON DOUBLING MEASURE//RBMOMU//ANALYTIC CAPACITY
9 8085 VARIABLE EXPONENT//PX LAPLACIAN//VARIABLE EXPONENT SOBOLEV SPACE
10 22573 FREDHOLMNESS//PIECEWISE SLOWLY OSCILLATING FUNCTION//KERZMAN STEIN OPERATOR

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