Class information for:
Level 1: DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
37197 64 16.2 12%


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
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
3826 2             QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA 918
37197 1                   DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY 64

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 DIVERGENCE SETS authKW 1908481 6% 100% 4
2 LACUNARY SEQUENCE OF PARTIAL SUMS authKW 954241 3% 100% 2
3 MATH ANAL GEOMETRY address 954241 3% 100% 2
4 WEAK GENERALIZED LOCALIZATION authKW 954241 3% 100% 2
5 BIRKHOFF KHINCHINE ERGODIC THEOREM authKW 477120 2% 100% 1
6 BOHLS ARGUMENT THEOREM authKW 477120 2% 100% 1
7 CESARO AND VORONOI CONVERGENCES authKW 477120 2% 100% 1
8 CONDITIONALLY PERIODIC MOTION ON THE N DIMENSIONAL TORUS authKW 477120 2% 100% 1
9 DIVERGENCE ON A SET authKW 477120 2% 100% 1
10 DIVERGENT FOURIER WALSH SERIES authKW 477120 2% 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 2611 86% 0% 55
2 Multidisciplinary Sciences 261 11% 0% 7
3 Mathematics, Applied 53 13% 0% 8
4 Physics, Mathematical 1 2% 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 MATH ANAL GEOMETRY 954241 3% 100% 2
2 VA STEKLOV MATH 5933 6% 0% 4
3 MEPHI 2872 2% 1% 1
4 EXACT NAT SCI 2750 3% 0% 2
5 STEKLOV MATH 648 2% 0% 1
6 MECH MATH 599 3% 0% 2
7 MATH ANAL 296 2% 0% 1
8 MATH 45 11% 0% 7
9 STAT 5 2% 0% 1
10 MATH SCI 4 2% 0% 1

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 CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 34850 6% 2% 4
2 MATHEMATICAL NOTES 18796 22% 0% 14
3 ANALYSIS MATHEMATICA 13342 3% 1% 2
4 MATHEMATICS OF THE USSR-SBORNIK 6155 5% 0% 3
5 SBORNIK MATHEMATICS 4933 6% 0% 4
6 RUSSIAN MATHEMATICAL SURVEYS 4853 8% 0% 5
7 MATHEMATICS OF THE USSR-IZVESTIYA 3883 3% 0% 2
8 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 2325 2% 0% 1
9 DOKLADY AKADEMII NAUK SSSR 1413 13% 0% 8
10 GEORGIAN MATHEMATICAL JOURNAL 1015 2% 0% 1

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 DIVERGENCE SETS 1908481 6% 100% 4 Search DIVERGENCE+SETS Search DIVERGENCE+SETS
2 LACUNARY SEQUENCE OF PARTIAL SUMS 954241 3% 100% 2 Search LACUNARY+SEQUENCE+OF+PARTIAL+SUMS Search LACUNARY+SEQUENCE+OF+PARTIAL+SUMS
3 WEAK GENERALIZED LOCALIZATION 954241 3% 100% 2 Search WEAK+GENERALIZED+LOCALIZATION Search WEAK+GENERALIZED+LOCALIZATION
4 BIRKHOFF KHINCHINE ERGODIC THEOREM 477120 2% 100% 1 Search BIRKHOFF+KHINCHINE+ERGODIC+THEOREM Search BIRKHOFF+KHINCHINE+ERGODIC+THEOREM
5 BOHLS ARGUMENT THEOREM 477120 2% 100% 1 Search BOHLS+ARGUMENT+THEOREM Search BOHLS+ARGUMENT+THEOREM
6 CESARO AND VORONOI CONVERGENCES 477120 2% 100% 1 Search CESARO+AND+VORONOI+CONVERGENCES Search CESARO+AND+VORONOI+CONVERGENCES
7 CONDITIONALLY PERIODIC MOTION ON THE N DIMENSIONAL TORUS 477120 2% 100% 1 Search CONDITIONALLY+PERIODIC+MOTION+ON+THE+N+DIMENSIONAL+TORUS Search CONDITIONALLY+PERIODIC+MOTION+ON+THE+N+DIMENSIONAL+TORUS
8 DIVERGENCE ON A SET 477120 2% 100% 1 Search DIVERGENCE+ON+A+SET Search DIVERGENCE+ON+A+SET
9 DIVERGENT FOURIER WALSH SERIES 477120 2% 100% 1 Search DIVERGENT+FOURIER+WALSH+SERIES Search DIVERGENT+FOURIER+WALSH+SERIES
10 FOURIER WALSH KACZMARZ SERIES 477120 2% 100% 1 Search FOURIER+WALSH+KACZMARZ+SERIES Search FOURIER+WALSH+KACZMARZ+SERIES

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 KARAGULYAN, GA , KARAGULYAN, DA , (2014) ON CHARACTERIZATION OF EXTREMAL SETS OF DIFFERENTIATION OF INTEGRALS IN A"E(2).JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 49. ISSUE 6. P. 334 -351 5 100% 0
2 KARAGULYAN, GA , (2011) CHARACTERIZATION OF THE SETS OF DIVERGENCE FOR SEQUENCES OF OPERATORS WITH THE LOCALIZATION PROPERTY.SBORNIK MATHEMATICS. VOL. 202. ISSUE 1. P. 9 -33 5 100% 0
3 BLOSHANSKAYA, SK , BLOSHANSKII, IL , (2014) A WEAK GENERALIZED LOCALIZATION CRITERION FOR MULTIPLE WALSH-FOURIER SERIES WITH J (K) -LACUNARY SEQUENCE OF RECTANGULAR PARTIAL SUMS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 285. ISSUE 1. P. 34 -55 6 75% 0
4 BLOSHANSKAYA, SK , BLOSHANSKII, IL , (2016) CONVERGENCE AND LOCALIZATION IN ORLICZ CLASSES FOR MULTIPLE WALSH-FOURIER SERIES WITH A LACUNARY SEQUENCE OF RECTANGULAR PARTIAL SUMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 435. ISSUE 1. P. 765 -782 5 83% 0
5 KOZLOV, VV , (2005) WEIGHTED AVERAGES, UNIFORM DISTRIBUTION, AND STRICT ERGODICITY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 60. ISSUE 6. P. 1121-1146 4 100% 1
6 BLOSHANSKII, IL , LIFANTSEVA, OV , (2013) STRUCTURAL AND GEOMETRIC CHARACTERISTICS OF SETS OF CONVERGENCE AND DIVERGENCE OF MULTIPLE FOURIER SERIES WITH J (K) -LACUNARY SEQUENCE OF RECTANGULAR PARTIAL SUMS.ANALYSIS MATHEMATICA. VOL. 39. ISSUE 2. P. 93-121 4 80% 0
7 BLOSHANSKAYA, SK , BLOSHANSKII, IL , LIFANTSEVA, OV , (2013) TRIGONOMETRIC FOURIER SERIES AND WALSH-FOURIER SERIES WITH LACUNARY SEQUENCE OF PARTIAL SUMS.MATHEMATICAL NOTES. VOL. 93. ISSUE 1-2. P. 332-336 3 100% 0
8 BLOSHANSKII, IL , (2002) A CRITERION FOR WEAK GENERALIZED LOCALIZATION IN THE CLASS L-1 FOR MULTIPLE TRIGONOMETRIC SERIES FROM THE VIEWPOINT OF ISOMETRIC TRANSFORMATIONS.MATHEMATICAL NOTES. VOL. 71. ISSUE 3-4. P. 464-476 3 100% 0
9 ULYANOV, PL , (1992) DEVELOPMENT OF MENSHOV,D.,E. RESULTS IN THE THEORY OF ORTHOGONAL SERIES.RUSSIAN MATHEMATICAL SURVEYS. VOL. 47. ISSUE 5. P. 49-70 4 100% 0
10 KARAGULYAN, DA , (2012) ON CHARACTERIZATION OF UNBOUNDED DIVERGENCE SETS OF SERIES IN FRANKLIN SYSTEM.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 47. ISSUE 1. P. 45-50 2 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
2 29725 RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R
3 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
4 21535 QUADRATIC STOCHASTIC OPERATOR//EVOLUTION ALGEBRA//BARIC ALGEBRA
5 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
6 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
7 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
8 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
9 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
10 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS

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