Class information for:
Level 1: ULTRADISTRIBUTIONS//HANKEL TRANSFORMATION//HANKEL CONVOLUTION

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
3207 2             COLOMBEAU ALGEBRA//GENERALIZED FUNCTIONS//NEUTRIX LIMIT 2237
18802 1                   ULTRADISTRIBUTIONS//HANKEL TRANSFORMATION//HANKEL CONVOLUTION 559

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ULTRADISTRIBUTIONS authKW 759603 6% 42% 32
2 HANKEL TRANSFORMATION authKW 693578 4% 53% 23
3 HANKEL CONVOLUTION authKW 526200 3% 67% 14
4 GELFAND SHILOV SPACES authKW 425002 3% 54% 14
5 HERMITE HEAT EQUATION authKW 338277 1% 100% 6
6 S CONVOLUTION authKW 338277 1% 100% 6
7 MEHLER KERNEL authKW 230211 1% 58% 7
8 WEIGHTED DISTRIBUTION SPACES authKW 225518 1% 100% 4
9 ZEMANIAN SPACE authKW 225518 1% 100% 4
10 CONVOLUTION OF DISTRIBUTIONS authKW 202962 1% 60% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 17325 75% 0% 421
2 Mathematics, Applied 5692 40% 0% 225
3 Physics, Mathematical 1097 13% 0% 72
4 Physics, Multidisciplinary 42 6% 0% 32
5 Multidisciplinary Sciences 4 1% 0% 4
6 Physics, Particles & Fields 3 2% 0% 10
7 Mathematics, Interdisciplinary Applications 2 1% 0% 5
8 Statistics & Probability -0 1% 0% 3
9 Engineering, Manufacturing -0 0% 0% 1
10 Computer Science, Artificial Intelligence -1 0% 0% 2

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BRACTS 56380 0% 100% 1
2 CHERNOVTSY KIEV STATE TRADING ECON 56380 0% 100% 1
3 CNRS EQUIPE RECH 294 56380 0% 100% 1
4 DIPARTIMENTO FIS INFN SEZIONE PISA 56380 0% 100% 1
5 FIM FIS MAT TECNOL FIS NUOVI MAT 56380 0% 100% 1
6 KIEV STATE TRADING ECON 56380 0% 100% 1
7 MATH 1 HBEREICH MATH 56380 0% 100% 1
8 MATH SYST MECHNIZAT 56380 0% 100% 1
9 MATSUE 56380 0% 100% 1
10 SETOR FIS MATEMAT 56378 0% 50% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 113844 9% 4% 51
2 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 37879 2% 6% 11
3 PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES 13448 1% 3% 8
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7613 10% 0% 54
5 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 4877 2% 1% 9
6 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 4823 3% 1% 16
7 THEORETICAL AND MATHEMATICAL PHYSICS 4822 4% 0% 21
8 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 3581 2% 1% 9
9 MATHEMATISCHE NACHRICHTEN 3467 3% 0% 16
10 STUDIA MATHEMATICA 3183 2% 0% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ULTRADISTRIBUTIONS 759603 6% 42% 32 Search ULTRADISTRIBUTIONS Search ULTRADISTRIBUTIONS
2 HANKEL TRANSFORMATION 693578 4% 53% 23 Search HANKEL+TRANSFORMATION Search HANKEL+TRANSFORMATION
3 HANKEL CONVOLUTION 526200 3% 67% 14 Search HANKEL+CONVOLUTION Search HANKEL+CONVOLUTION
4 GELFAND SHILOV SPACES 425002 3% 54% 14 Search GELFAND+SHILOV+SPACES Search GELFAND+SHILOV+SPACES
5 HERMITE HEAT EQUATION 338277 1% 100% 6 Search HERMITE+HEAT+EQUATION Search HERMITE+HEAT+EQUATION
6 S CONVOLUTION 338277 1% 100% 6 Search S+CONVOLUTION Search S+CONVOLUTION
7 MEHLER KERNEL 230211 1% 58% 7 Search MEHLER+KERNEL Search MEHLER+KERNEL
8 WEIGHTED DISTRIBUTION SPACES 225518 1% 100% 4 Search WEIGHTED+DISTRIBUTION+SPACES Search WEIGHTED+DISTRIBUTION+SPACES
9 ZEMANIAN SPACE 225518 1% 100% 4 Search ZEMANIAN+SPACE Search ZEMANIAN+SPACE
10 CONVOLUTION OF DISTRIBUTIONS 202962 1% 60% 6 Search CONVOLUTION+OF+DISTRIBUTIONS Search CONVOLUTION+OF+DISTRIBUTIONS

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 25451 NEUTRIX LIMIT//BOEHMIANS//NEUTRIX
2 27469 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
3 18906 COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS
4 9548 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
5 11288 ULTRADIFFERENTIABLE FUNCTIONS//PROJECTIVE DESCRIPTION//SPACE OF REAL ANALYTIC FUNCTIONS
6 25460 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//DISTRIBUTIONAL POINT VALUES//QUASIASYMPTOTICS
7 31668 FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY
8 10227 FRACTIONAL FOURIER TRANSFORM//LINEAR CANONICAL TRANSFORM//DISCRETE FRACTIONAL FOURIER TRANSFORM
9 33204 LOCALLY ANALYTIC VECTOR VALUED FUNCTION//DIFFERENTIAL EQUATION IN A BANACH SPACE//ENTIRE VECTOR OF A CLOSED OPERATOR
10 4533 GABOR FRAMES//MODULATION SPACES//FRAMES

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