Class information for:
Level 1: FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY

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
468 3       PHYSICS, MATHEMATICAL//MATHEMATICS//JOURNAL OF MATHEMATICAL PHYSICS 25817
1257 2             ANNALES HENRI POINCARE//COMMUNICATIONS IN MATHEMATICAL PHYSICS//RANDOM SCHRODINGER OPERATORS 9169
31668 1                   FOURIER INVERSION FORMULA//HONG KRAHN SZEGO INEQUALITY//M HYPOELLIPTICITY 163

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FOURIER INVERSION FORMULA authKW 604232 3% 63% 5
2 HONG KRAHN SZEGO INEQUALITY authKW 580067 2% 100% 3
3 M HYPOELLIPTICITY authKW 580067 2% 100% 3
4 RAYLEIGH FABER KRAHN INEQUALITY authKW 515612 2% 67% 4
5 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS journal 473684 13% 12% 21
6 PSEUDODIFFERENTIAL OPERATORS authKW 425421 18% 7% 30
7 LAMBDA WEYL TRANSFORMS authKW 386711 1% 100% 2
8 MINIMAL AND MAXIMAL PSEUDO DIFFERENTIAL OPERATORS authKW 386711 1% 100% 2
9 PERIODIC PSEUDODIFFERENTIAL OPERATORS authKW 386711 1% 100% 2
10 PURKISS PRINCIPLE authKW 386711 1% 100% 2

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 7000 88% 0% 144
2 Mathematics, Applied 2012 44% 0% 72
3 Mathematical & Computational Biology 22 2% 0% 4
4 Mathematics, Interdisciplinary Applications 12 2% 0% 4
5 Mechanics 5 3% 0% 5
6 Humanities, Multidisciplinary 3 1% 0% 1
7 Engineering, General 0 1% 0% 1
8 Statistics & Probability 0 1% 0% 1
9 Physics, Mathematical -0 1% 0% 1
10 Physics, Multidisciplinary -1 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CATEDRAT ECON LICADA 96677 1% 50% 1
2 EA4535 64451 1% 33% 1
3 ROSTOV STATE UNIV 64451 1% 33% 1
4 MATEMAT FAK 40703 1% 11% 2
5 KAZAKH BRANCH 38670 1% 20% 1
6 ANAL DYNAM MODELLIERUNG 21478 2% 4% 3
7 DICATAM SEZ MATEMAT 19334 1% 10% 1
8 FR CNRS 3399 12083 1% 6% 1
9 DMMMSA 10175 1% 5% 1
10 KAZAKHSTAN BRANCH 9206 1% 5% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 473684 13% 12% 21
2 SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING 13331 1% 3% 2
3 INTEGRAL EQUATIONS AND OPERATOR THEORY 5416 5% 0% 8
4 MATHEMATICAL MODELLING OF NATURAL PHENOMENA 4781 2% 1% 4
5 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 2327 2% 0% 3
6 COMPTES RENDUS MATHEMATIQUE 2222 4% 0% 7
7 BULLETIN OF MATHEMATICAL SCIENCES 2012 1% 1% 1
8 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 1978 2% 0% 3
9 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 1859 2% 0% 3
10 DIFFERENTIAL EQUATIONS 1785 4% 0% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FOURIER INVERSION FORMULA 604232 3% 63% 5 Search FOURIER+INVERSION+FORMULA Search FOURIER+INVERSION+FORMULA
2 HONG KRAHN SZEGO INEQUALITY 580067 2% 100% 3 Search HONG+KRAHN+SZEGO+INEQUALITY Search HONG+KRAHN+SZEGO+INEQUALITY
3 M HYPOELLIPTICITY 580067 2% 100% 3 Search M+HYPOELLIPTICITY Search M+HYPOELLIPTICITY
4 RAYLEIGH FABER KRAHN INEQUALITY 515612 2% 67% 4 Search RAYLEIGH+FABER+KRAHN+INEQUALITY Search RAYLEIGH+FABER+KRAHN+INEQUALITY
5 PSEUDODIFFERENTIAL OPERATORS 425421 18% 7% 30 Search PSEUDODIFFERENTIAL+OPERATORS Search PSEUDODIFFERENTIAL+OPERATORS
6 LAMBDA WEYL TRANSFORMS 386711 1% 100% 2 Search LAMBDA+WEYL+TRANSFORMS Search LAMBDA+WEYL+TRANSFORMS
7 MINIMAL AND MAXIMAL PSEUDO DIFFERENTIAL OPERATORS 386711 1% 100% 2 Search MINIMAL+AND+MAXIMAL+PSEUDO+DIFFERENTIAL+OPERATORS Search MINIMAL+AND+MAXIMAL+PSEUDO+DIFFERENTIAL+OPERATORS
8 PERIODIC PSEUDODIFFERENTIAL OPERATORS 386711 1% 100% 2 Search PERIODIC+PSEUDODIFFERENTIAL+OPERATORS Search PERIODIC+PSEUDODIFFERENTIAL+OPERATORS
9 PURKISS PRINCIPLE 386711 1% 100% 2 Search PURKISS+PRINCIPLE Search PURKISS+PRINCIPLE
10 FOX LI OPERATOR 257806 1% 67% 2 Search FOX+LI+OPERATOR Search FOX+LI+OPERATOR

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 37323 RADIATION TRANSFER EQUATION//ATMOSPHERIC CLOUDS//EFFECTIVE MULTIPLICATION COEFFICIENT
2 9891 NONCOMMUTATIVE RESIDUE//ZETA DETERMINANT//MANIFOLDS WITH CONICAL SINGULARITIES
3 37636 PL MATH AUTOMAT//STERLITAMAK STATE PEDAG//KABARDINO BALKAR SCI
4 28536 PROJET ANAL FONCTIONNELLE//LIZORKIN TRIEBEL SPACES//HOMOGENEOUS BESOV SPACES
5 31455 STRONG SZEGO LIMIT THEOREM//STRONG SZEGO WIDOM LIMIT THEOREM//WEIGHTED WIENER ALGEBRA
6 27411 BETHE SOMMERFELD CONJECTURE//MAGNITOGORSK STATE PEDAG//REGULARIZED TRACE
7 4533 GABOR FRAMES//MODULATION SPACES//FRAMES
8 18923 MECHANICAL QUADRATURE METHOD//RIGID RIBBON//SPLITTING EXTRAPOLATION ALGORITHM
9 38889 NUMBER OF FALSE ALARMS//HELMHOLTZ PRINCIPLE//MEANINGFUL MATCHES
10 29605 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH

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