Class information for:
Level 1: KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS

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
27469 1                   KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS 248

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 KONTOROVICH LEBEDEV TRANSFORM authKW 2779932 14% 63% 35
2 MEHLER FOCK TRANSFORM authKW 1029377 4% 90% 9
3 INDEX TRANSFORMS authKW 935796 4% 82% 9
4 FOURIER COSINE TRANSFORM authKW 643354 4% 56% 9
5 POLYCONVOLUTION authKW 508335 2% 100% 4
6 TITCHMARSH THEOREM authKW 508335 2% 100% 4
7 WATSON THEOREM authKW 508335 2% 100% 4
8 PLANCHEREL THEOREM authKW 508323 4% 40% 10
9 PARSEVAL EQUALITY authKW 479002 3% 54% 7
10 CONVOLUTION INTEGRAL EQUATIONS authKW 406667 2% 80% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 8751 80% 0% 199
2 Mathematics, Applied 5455 58% 0% 145
3 Multidisciplinary Sciences 97 4% 0% 9
4 Physics, Mathematical 27 4% 0% 9
5 Mathematics, Interdisciplinary Applications 2 1% 0% 3
6 Education, Scientific Disciplines 0 0% 0% 1
7 Instruments & Instrumentation 0 1% 0% 3
8 Geochemistry & Geophysics 0 1% 0% 2
9 Operations Research & Management Science -0 0% 0% 1
10 Engineering, General -0 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HANOI EDUC TRAINING 254168 1% 100% 2
2 IUT CREUSOT 184844 2% 36% 4
3 ESTUDIOS GEN 163390 1% 43% 3
4 COMPUT PL MATH 127084 0% 100% 1
5 KIM LIEN HIGH 127084 0% 100% 1
6 SYSTEMHOUSE 127084 0% 100% 1
7 UNIV EDU 127084 0% 100% 1
8 GIFTED STUDENTS 92418 2% 18% 4
9 HIGH GIFTED 63541 0% 50% 1
10 PHOTOMETR GRP 63539 1% 25% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 320711 23% 4% 57
2 COMPLEX ANALYSIS AND OPERATOR THEORY 9225 3% 1% 7
3 MATHEMATICAL INEQUALITIES & APPLICATIONS 7121 4% 1% 9
4 MATHEMATISCHE NACHRICHTEN 3706 4% 0% 11
5 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 2657 1% 1% 2
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2590 8% 0% 21
7 DOKLADY AKADEMII NAUK BELARUSI 1583 2% 0% 6
8 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 1527 1% 0% 3
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1447 6% 0% 14
10 KODAI MATHEMATICAL JOURNAL 1359 1% 1% 2

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 KONTOROVICH LEBEDEV TRANSFORM 2779932 14% 63% 35 Search KONTOROVICH+LEBEDEV+TRANSFORM Search KONTOROVICH+LEBEDEV+TRANSFORM
2 MEHLER FOCK TRANSFORM 1029377 4% 90% 9 Search MEHLER+FOCK+TRANSFORM Search MEHLER+FOCK+TRANSFORM
3 INDEX TRANSFORMS 935796 4% 82% 9 Search INDEX+TRANSFORMS Search INDEX+TRANSFORMS
4 FOURIER COSINE TRANSFORM 643354 4% 56% 9 Search FOURIER+COSINE+TRANSFORM Search FOURIER+COSINE+TRANSFORM
5 POLYCONVOLUTION 508335 2% 100% 4 Search POLYCONVOLUTION Search POLYCONVOLUTION
6 TITCHMARSH THEOREM 508335 2% 100% 4 Search TITCHMARSH+THEOREM Search TITCHMARSH+THEOREM
7 WATSON THEOREM 508335 2% 100% 4 Search WATSON+THEOREM Search WATSON+THEOREM
8 PLANCHEREL THEOREM 508323 4% 40% 10 Search PLANCHEREL+THEOREM Search PLANCHEREL+THEOREM
9 PARSEVAL EQUALITY 479002 3% 54% 7 Search PARSEVAL+EQUALITY Search PARSEVAL+EQUALITY
10 CONVOLUTION INTEGRAL EQUATIONS 406667 2% 80% 4 Search CONVOLUTION+INTEGRAL+EQUATIONS Search CONVOLUTION+INTEGRAL+EQUATIONS

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 28809 EMBEDDING FORMULAE//DIFFRACTION BY CONES//PARAMETER DERIVATIVES
2 18802 ULTRADISTRIBUTIONS//HANKEL TRANSFORMATION//HANKEL CONVOLUTION
3 9548 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
4 20117 WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS
5 23817 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY
6 33469 RIEMANN ZETA AND RELATED FUNCTIONS//BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS//KOSHLIAKOV
7 24443 HADAMARD EXPANSIONS//NUMERICAL EVALUATION OF SPECIAL FUNCTIONS//LAPLACE TYPE INTEGRALS
8 14492 GENERALIZED LEIBNIZ RULE//KAMPE DE FERIET FUNCTION//DIFFERINTEGRAL EQUATIONS
9 38203 MEASURABLE POLYNOMIALS//DISTRIBUTION OF QUADRATIC FORMS//ANALOGUES OF ISOPERIMETRIC CHERNOFF INEQUALITY
10 10227 FRACTIONAL FOURIER TRANSFORM//LINEAR CANONICAL TRANSFORM//DISCRETE FRACTIONAL FOURIER TRANSFORM

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