Class information for:
Level 1: TAUBERIAN//FACTORED FOURIER SERIES//MULTIVARIATE HEAVY TAILS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
29716 181 17.5 20%



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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
3156 2             STATISTICAL CONVERGENCE//ABSOLUTE SUMMABILITY//DOUBLE SEQUENCES 2206
29716 1                   TAUBERIAN//FACTORED FOURIER SERIES//MULTIVARIATE HEAVY TAILS 181

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 TAUBERIAN authKW 379583 2% 75% 3
2 FACTORED FOURIER SERIES authKW 337408 1% 100% 2
3 MULTIVARIATE HEAVY TAILS authKW 337408 1% 100% 2
4 MATRIX TRANSFORMS authKW 303665 2% 60% 3
5 PREFERENTIAL ATTACHMENT MODEL authKW 224938 1% 67% 2
6 ABELS SECOND THEOREM authKW 168704 1% 100% 1
7 ABT F ZAHLENTHEORIE WAHR EINLICHKEITSTHEORIE address 168704 1% 100% 1
8 ABT MATHEMAT address 168704 1% 100% 1
9 BEINSTEINS BLOCKING TECHNIQUE authKW 168704 1% 100% 1
10 BESOV AND BEICOVICH SPACES authKW 168704 1% 100% 1

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 7332 86% 0% 155
2 Mathematics, Applied 736 26% 0% 47
3 Statistics & Probability 244 9% 0% 17
4 Mathematics, Interdisciplinary Applications 1 1% 0% 2
5 Mathematical & Computational Biology 0 1% 0% 1
6 Computer Science, Theory & Methods -0 1% 0% 1
7 Physics, Mathematical -0 1% 0% 1
8 Biology -0 1% 0% 1
9 Physics, Multidisciplinary -2 1% 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 ABT F ZAHLENTHEORIE WAHR EINLICHKEITSTHEORIE 168704 1% 100% 1
2 ABT MATHEMAT 168704 1% 100% 1
3 MATEMAATIKA INFORMAATIKAOSAKOND 168704 1% 100% 1
4 MATHEMAT ENGN 168704 1% 100% 1
5 ABT MATH 3 149953 2% 22% 4
6 MATH ANAL FUNCT THEORY 12048 1% 7% 1
7 ABT MATH 8877 1% 5% 1
8 NORBERT WIENER 8032 1% 5% 1
9 OPERAT INFORMAT ENGN 2543 1% 1% 2
10 MATH A 2004 1% 1% 2

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 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY 6385 6% 0% 11
2 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 5676 6% 0% 10
3 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 5667 6% 0% 11
4 ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE 4037 1% 1% 2
5 PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 3693 3% 0% 5
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3529 12% 0% 21
7 ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE 2554 2% 1% 3
8 STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA 2533 2% 1% 3
9 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 1829 3% 0% 5
10 MATHEMATISCHE ZEITSCHRIFT 1631 4% 0% 7

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 TAUBERIAN 379583 2% 75% 3 Search TAUBERIAN Search TAUBERIAN
2 FACTORED FOURIER SERIES 337408 1% 100% 2 Search FACTORED+FOURIER+SERIES Search FACTORED+FOURIER+SERIES
3 MULTIVARIATE HEAVY TAILS 337408 1% 100% 2 Search MULTIVARIATE+HEAVY+TAILS Search MULTIVARIATE+HEAVY+TAILS
4 MATRIX TRANSFORMS 303665 2% 60% 3 Search MATRIX+TRANSFORMS Search MATRIX+TRANSFORMS
5 PREFERENTIAL ATTACHMENT MODEL 224938 1% 67% 2 Search PREFERENTIAL+ATTACHMENT+MODEL Search PREFERENTIAL+ATTACHMENT+MODEL
6 ABELS SECOND THEOREM 168704 1% 100% 1 Search ABELS+SECOND+THEOREM Search ABELS+SECOND+THEOREM
7 BEINSTEINS BLOCKING TECHNIQUE 168704 1% 100% 1 Search BEINSTEINS+BLOCKING+TECHNIQUE Search BEINSTEINS+BLOCKING+TECHNIQUE
8 BESOV AND BEICOVICH SPACES 168704 1% 100% 1 Search BESOV+AND+BEICOVICH+SPACES Search BESOV+AND+BEICOVICH+SPACES
9 BOREL METHODS OF SUMMABILITY 168704 1% 100% 1 Search BOREL+METHODS+OF+SUMMABILITY Search BOREL+METHODS+OF+SUMMABILITY
10 BOREL TYPE 168704 1% 100% 1 Search BOREL+TYPE Search BOREL+TYPE

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 BINGHAM, NH , GASHI, B , (2017) VORONOI MEANS, MOVING AVERAGES, AND POWER SERIES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 449. ISSUE 1. P. 682 -696 13 81% 0
2 BINGHAM, NH , GASHI, B , (2015) LOGARITHMIC MOVING AVERAGES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 421. ISSUE 2. P. 1790 -1802 13 68% 0
3 BORWEIN, D , KRATZ, W , STADTMULLER, U , (2001) ONE-SIDED TAUBERIAN THEOREMS FOR DIRICHLET SERIES METHODS OF SUMMABILITY.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 31. ISSUE 3. P. 797-830 9 100% 0
4 BARON, S , STADTMULLER, U , (1997) TAUBERIAN THEOREMS FOR POWER SERIES METHODS APPLIED TO DOUBLE SEQUENCES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 211. ISSUE 2. P. 574-589 11 92% 3
5 KIESEL, R , (1993) GENERAL NORLUND TRANSFORMS AND POWER-SERIES METHODS.MATHEMATISCHE ZEITSCHRIFT. VOL. 214. ISSUE 2. P. 273 -286 11 100% 5
6 BINGHAM, NH , (2015) HARDY, LITTLEWOOD AND PROBABILITY.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 47. ISSUE . P. 191 -202 10 53% 0
7 PICARDELLO, MA , (2014) FUNCTION SPACES WITH BOUNDED L-P MEANS AND THEIR CONTINUOUS FUNCTIONALS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 5 100% 0
8 STADTMULLER, U , (1993) TAUBERIAN CONSTANTS FOR POWER-SERIES METHODS IN SUMMABILITY.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 177. ISSUE 1. P. 109-124 8 100% 0
9 KIESEL, R , (1998) STRONG LAWS AND SUMMABILITY FOR PHI-MIXING SEQUENCES OF RANDOM VARIABLES.JOURNAL OF THEORETICAL PROBABILITY. VOL. 11. ISSUE 1. P. 209 -224 8 80% 5
10 STADTMULLER, U , TALI, A , (1999) ON CERTAIN FAMILIES OF GENERALIZED NORLUND METHODS AND POWER SERIES METHODS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 238. ISSUE 1. P. 44 -66 6 100% 10

Classes with closest relation at Level 1



Rank Class id link
1 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION
2 7562 STATISTICAL CONVERGENCE//DOUBLE SEQUENCES//MATRIX TRANSFORMATIONS
3 5012 COMPLETE CONVERGENCE//WEIGHTED SUMS//COMPLETE MOMENT CONVERGENCE
4 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
5 27398 GOLAB SCHINZEL EQUATION//GOLAB SCHINZEL FUNCTIONAL EQUATION//UNIFORM CONVERGENCE THEOREM
6 28864 ORLICZ PETTIS THEOREM//DIEUDONNE THEOREM//NIKODYM PROPERTY
7 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
8 12830 SMALL DEVIATIONS//SMALL BALL PROBABILITY//LARGE DEVIATION PROBABILITY
9 23532 ABSOLUTE SUMMABILITY//SUMMABILITY FACTORS//ALMOST INCREASING SEQUENCES
10 21683 CONSERVATIVE FLOW//EVANESCENT RANDOM FIELDS//MIXED MOVING AVERAGE

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