Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
26396 | 255 | 17.1 | 26% |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
Cluster id | Level | Cluster label | #P |
---|---|---|---|
15 | 4 | MATHEMATICS//MATHEMATICS, APPLIED//MATH | 719832 |
94 | 3 | MATHEMATICS//MATHEMATICS, APPLIED//MATH | 76582 |
842 | 2 | MATHEMATICS//MAXIMAL OPERATOR//BMO | 11754 |
26396 | 1 | POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA | 255 |
Terms with highest relevance score |
rank | Term | termType | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
---|---|---|---|---|---|---|
1 | POSITIVE DEFINITE KERNELS | authKW | 478969 | 5% | 33% | 12 |
2 | MERCERS THEOREM | authKW | 391892 | 2% | 55% | 6 |
3 | FOURIER INVERSION FORMULA | authKW | 374204 | 2% | 63% | 5 |
4 | M HYPOELLIPTICITY | authKW | 359239 | 1% | 100% | 3 |
5 | MERCERS THEORY | authKW | 359239 | 1% | 100% | 3 |
6 | PSEUDODIFFERENTIAL OPERATORS | authKW | 256197 | 11% | 7% | 29 |
7 | JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | journal | 250277 | 7% | 12% | 18 |
8 | HONG KRAHN SZEGO INEQUALITY | authKW | 239493 | 1% | 100% | 2 |
9 | LAMBDA WEYL TRANSFORMS | authKW | 239493 | 1% | 100% | 2 |
10 | MINIMAL AND MAXIMAL PSEUDO DIFFERENTIAL OPERATORS | authKW | 239493 | 1% | 100% | 2 |
Web of Science journal categories |
Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
---|---|---|---|---|---|
1 | Mathematics | 10488 | 86% | 0% | 220 |
2 | Mathematics, Applied | 2117 | 36% | 0% | 93 |
3 | Computer Science, Theory & Methods | 2 | 2% | 0% | 4 |
4 | Mathematical & Computational Biology | 2 | 1% | 0% | 2 |
5 | Humanities, Multidisciplinary | 1 | 0% | 0% | 1 |
6 | Mathematics, Interdisciplinary Applications | 0 | 1% | 0% | 2 |
7 | Computer Science, Software Engineering | 0 | 1% | 0% | 2 |
8 | Multidisciplinary Sciences | 0 | 0% | 0% | 1 |
9 | Computer Science, Interdisciplinary Applications | 0 | 1% | 0% | 2 |
10 | Engineering, General | -0 | 0% | 0% | 1 |
Address terms |
Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
---|---|---|---|---|---|
1 | ICE DMC | 153956 | 1% | 43% | 3 |
2 | DEP MECAN | 68424 | 1% | 29% | 2 |
3 | CATEDRAT ECON LICADA | 59872 | 0% | 50% | 1 |
4 | MAX PLANCK ARBEITSGRP PARTIELLE DIFFERENTIALGLEIC | 39914 | 0% | 33% | 1 |
5 | ROSTOV STATE UNIV | 39914 | 0% | 33% | 1 |
6 | MATEMAT FAK | 25206 | 1% | 11% | 2 |
7 | CIENCIAS MATH COMP | 23948 | 0% | 20% | 1 |
8 | S FED UNIV | 19956 | 0% | 17% | 1 |
9 | VAKGRP WISKUNDIGE ANAL | 17105 | 0% | 14% | 1 |
10 | ANAL DYNAM MODELLIERUNG | 14175 | 1% | 4% | 3 |
Journals |
Rank | Term | Chi square | Shr. of publ. in class containing term |
Class's shr. of term's tot. occurrences |
#P with term in class |
---|---|---|---|---|---|
1 | JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 250277 | 7% | 12% | 18 |
2 | INTEGRAL EQUATIONS AND OPERATOR THEORY | 23629 | 8% | 1% | 21 |
3 | MATHEMATISCHE NACHRICHTEN | 8624 | 7% | 0% | 17 |
4 | SOVIET JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 8255 | 1% | 3% | 2 |
5 | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 3026 | 4% | 0% | 9 |
6 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2069 | 3% | 0% | 8 |
7 | JOURNAL OF FUNCTIONAL ANALYSIS | 1832 | 4% | 0% | 10 |
8 | ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1472 | 1% | 0% | 3 |
9 | BULLETIN OF MATHEMATICAL SCIENCES | 1407 | 0% | 1% | 1 |
10 | JOURNAL OF COMPLEXITY | 1338 | 1% | 0% | 3 |
Author Key Words |
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. |
Rank | Reference | # ref. in cl. |
Shr. of ref. in cl. |
Citations |
---|---|---|---|---|
1 | FERREIRA, JC , MENEGATTO, VA , (2013) EIGENVALUE DECAY RATES FOR POSITIVE INTEGRAL OPERATORS.ANNALI DI MATEMATICA PURA ED APPLICATA. VOL. 192. ISSUE 6. P. 1025-1041 | 11 | 100% | 0 |
2 | FERREIRA, JC , MENEGATTO, VA , (2013) POSITIVE DEFINITENESS, REPRODUCING KERNEL HILBERT SPACES AND BEYOND.ANNALS OF FUNCTIONAL ANALYSIS. VOL. 4. ISSUE 1. P. 64-88 | 13 | 68% | 4 |
3 | FERREIRA, JC , MENEGATTO, VA , (2009) EIGENVALUES OF INTEGRAL OPERATORS DEFINED BY SMOOTH POSITIVE DEFINITE KERNELS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 64. ISSUE 1. P. 61 -81 | 9 | 100% | 12 |
4 | RUZHANSKY, M , TOKMAGAMBETOV, N , (2016) NONHARMONIC ANALYSIS OF BOUNDARY VALUE PROBLEMS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 12. P. 3548 -3615 | 13 | 54% | 1 |
5 | BUESCU, J , PAIXAO, AC , (2007) EIGEIRVALUE DISTRIBUTION OF POSITIVE DEFINITE KERNELS ON UNBOUNDED DOMAINS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 57. ISSUE 1. P. 19 -41 | 10 | 91% | 4 |
6 | BUESCU, J , PAIXAO, AC , (2006) EIGENVALUES OF POSITIVE DEFINITE INTEGRAL OPERATORS ON UNBOUNDED INTERVALS.POSITIVITY. VOL. 10. ISSUE 4. P. 627 -646 | 9 | 100% | 3 |
7 | WATHEN, AJ , ZHU, SX , (2015) ON SPECTRAL DISTRIBUTION OF KERNEL MATRICES RELATED TO RADIAL BASIS FUNCTIONS.NUMERICAL ALGORITHMS. VOL. 70. ISSUE 4. P. 709 -726 | 14 | 50% | 1 |
8 | KALLEJI, MK , (2015) ESSENTIAL SPECTRUM OF M-HYPOELLIPTIC PSEUDO-DIFFERENTIAL OPERATORS ON THE TORUS.JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. VOL. 6. ISSUE 4. P. 439 -459 | 8 | 89% | 0 |
9 | MENEGATTO, VA , OLIVEIRA, CP , (2012) EIGENVALUE AND SINGULAR VALUE ESTIMATES FOR INTEGRAL OPERATORS: A UNIFYING APPROACH.MATHEMATISCHE NACHRICHTEN. VOL. 285. ISSUE 17-18. P. 2222 -2232 | 9 | 82% | 2 |
10 | AZEVEDO, D , MENEGATTO, VA , (2014) EIGENVALUE DECAY OF INTEGRAL OPERATORS GENERATED BY POWER SERIES-LIKE KERNELS.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 17. ISSUE 2. P. 693 -705 | 7 | 100% | 0 |
Classes with closest relation at Level 1 |