Class information for:
Level 1: POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26396 255 17.1 26%


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
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


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 POSITIVE DEFINITE KERNELS 478969 5% 33% 12 Search POSITIVE+DEFINITE+KERNELS Search POSITIVE+DEFINITE+KERNELS
2 MERCERS THEOREM 391892 2% 55% 6 Search MERCERS+THEOREM Search MERCERS+THEOREM
3 FOURIER INVERSION FORMULA 374204 2% 63% 5 Search FOURIER+INVERSION+FORMULA Search FOURIER+INVERSION+FORMULA
4 M HYPOELLIPTICITY 359239 1% 100% 3 Search M+HYPOELLIPTICITY Search M+HYPOELLIPTICITY
5 MERCERS THEORY 359239 1% 100% 3 Search MERCERS+THEORY Search MERCERS+THEORY
6 PSEUDODIFFERENTIAL OPERATORS 256197 11% 7% 29 Search PSEUDODIFFERENTIAL+OPERATORS Search PSEUDODIFFERENTIAL+OPERATORS
7 HONG KRAHN SZEGO INEQUALITY 239493 1% 100% 2 Search HONG+KRAHN+SZEGO+INEQUALITY Search HONG+KRAHN+SZEGO+INEQUALITY
8 LAMBDA WEYL TRANSFORMS 239493 1% 100% 2 Search LAMBDA+WEYL+TRANSFORMS Search LAMBDA+WEYL+TRANSFORMS
9 MINIMAL AND MAXIMAL PSEUDO DIFFERENTIAL OPERATORS 239493 1% 100% 2 Search MINIMAL+AND+MAXIMAL+PSEUDO+DIFFERENTIAL+OPERATORS Search MINIMAL+AND+MAXIMAL+PSEUDO+DIFFERENTIAL+OPERATORS
10 PERIODIC PSEUDODIFFERENTIAL OPERATORS 239493 1% 100% 2 Search PERIODIC+PSEUDODIFFERENTIAL+OPERATORS Search PERIODIC+PSEUDODIFFERENTIAL+OPERATORS

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


Rank Class id link
1 31353 MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION
2 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
3 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
4 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
5 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
6 17525 COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY
7 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
8 4664 GABOR FRAMES//MODULATION SPACES//FRAMES
9 13618 ZETA DETERMINANT//HEAT CONTENT ASYMPTOTICS//MANIFOLDS WITH CONICAL SINGULARITIES
10 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS

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