Class information for:
Level 1: NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
36324 82 11.7 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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
295 3       CRYPTOGRAPHY//COMPUTER SCIENCE, THEORY & METHODS//IEEE TRANSACTIONS ON INFORMATION THEORY 41419
2567 2             LINEAR COMPLEXITY//PERMUTATION POLYNOMIAL//FINITE FIELDS AND THEIR APPLICATIONS 3707
36324 1                   NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE 82

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 NATURAL SPECTRUM authKW 837867 4% 75% 3
2 F M RIESZ THEOREM authKW 744772 2% 100% 2
3 SPECTRUM OF MEASURE authKW 744772 2% 100% 2
4 SUP PATH ATTAINING authKW 744772 2% 100% 2
5 AND ZERO FORCING authKW 372386 1% 100% 1
6 BERMAN MARCINKIEWICZ IDENTITY authKW 372386 1% 100% 1
7 BINARY BLOCK authKW 372386 1% 100% 1
8 EXTREMAL PROBLEM OF THE MINIMAL CONSTANT TERM OF A TRIGONOMETRIC POLYNOMIAL authKW 372386 1% 100% 1
9 EXTREMAL TRIGONOMETRIC POLYNOMIAL authKW 372386 1% 100% 1
10 FOURIER TRANSFORM INEQUALITIES authKW 372386 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 4115 95% 0% 78
2 Mathematics, Applied 206 21% 0% 17
3 Multidisciplinary Sciences 3 1% 0% 1
4 Telecommunications 0 1% 0% 1
5 Engineering, Electrical & Electronic -1 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 LEHRSTUHL MATH A 13296 2% 2% 2
2 COMP SCI MATH PHYS 3877 1% 1% 1
3 STEKLOV MATH 2025 2% 0% 2
4 VA STEKLOV MATH 1155 2% 0% 2
5 PAUL PAINLEVE 585 1% 0% 1
6 COMBINATOR OPTIMIZAT 374 1% 0% 1
7 UFR MATH 256 1% 0% 1
8 MATH 132 16% 0% 13
9 PL MATH 8 1% 0% 1
10 SCI TECHNOL 4 1% 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 HOKKAIDO MATHEMATICAL JOURNAL 9024 2% 1% 2
2 STUDIA MATHEMATICA 6237 9% 0% 7
3 MATHEMATICAL NOTES 4781 10% 0% 8
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2688 13% 0% 11
5 RUSSIAN ACADEMY OF SCIENCES IZVESTIYA MATHEMATICS 2620 1% 1% 1
6 MATHEMATICA SCANDINAVICA 2421 4% 0% 3
7 ARKIV FOR MATEMATIK 1969 2% 0% 2
8 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 1698 1% 0% 1
9 IZVESTIYA MATHEMATICS 1660 2% 0% 2
10 JOURNAL OF FUNCTIONAL ANALYSIS 1430 6% 0% 5

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 NATURAL SPECTRUM 837867 4% 75% 3 Search NATURAL+SPECTRUM Search NATURAL+SPECTRUM
2 F M RIESZ THEOREM 744772 2% 100% 2 Search F+M+RIESZ+THEOREM Search F+M+RIESZ+THEOREM
3 SPECTRUM OF MEASURE 744772 2% 100% 2 Search SPECTRUM+OF+MEASURE Search SPECTRUM+OF+MEASURE
4 SUP PATH ATTAINING 744772 2% 100% 2 Search SUP+PATH+ATTAINING Search SUP+PATH+ATTAINING
5 AND ZERO FORCING 372386 1% 100% 1 Search AND+ZERO+FORCING Search AND+ZERO+FORCING
6 BERMAN MARCINKIEWICZ IDENTITY 372386 1% 100% 1 Search BERMAN+MARCINKIEWICZ+IDENTITY Search BERMAN+MARCINKIEWICZ+IDENTITY
7 BINARY BLOCK 372386 1% 100% 1 Search BINARY+BLOCK Search BINARY+BLOCK
8 EXTREMAL PROBLEM OF THE MINIMAL CONSTANT TERM OF A TRIGONOMETRIC POLYNOMIAL 372386 1% 100% 1 Search EXTREMAL+PROBLEM+OF+THE+MINIMAL+CONSTANT+TERM+OF+A+TRIGONOMETRIC+POLYNOMIAL Search EXTREMAL+PROBLEM+OF+THE+MINIMAL+CONSTANT+TERM+OF+A+TRIGONOMETRIC+POLYNOMIAL
9 EXTREMAL TRIGONOMETRIC POLYNOMIAL 372386 1% 100% 1 Search EXTREMAL+TRIGONOMETRIC+POLYNOMIAL Search EXTREMAL+TRIGONOMETRIC+POLYNOMIAL
10 FOURIER TRANSFORM INEQUALITIES 372386 1% 100% 1 Search FOURIER+TRANSFORM+INEQUALITIES Search FOURIER+TRANSFORM+INEQUALITIES

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 YAMAGUCHI, H , (2014) QUASI-INVARIANCE OF MEASURES OF ANALYTIC TYPE ON LOCALLY COMPACT ABELIAN GROUPS.HOKKAIDO MATHEMATICAL JOURNAL. VOL. 43. ISSUE 1. P. 51-64 6 100% 0
2 YAMAGUCHI, H , (2009) ON A RESULT OF SAEKI-TAKAHASHI AND A THEOREM OF BOCHNER.HOKKAIDO MATHEMATICAL JOURNAL. VOL. 38. ISSUE 3. P. 497-510 4 100% 1
3 SABABHEH, MS , (2015) HARDY-TYPE INEQUALITIES FOR FUNCTIONS WHOSE FOURIER TRANSFORMS HAVE GAPS.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 50. ISSUE 5. P. 246 -252 3 100% 0
4 OHRYSKO, P , WOJCIECHOWSKI, M , (2014) ON THE RELATIONSHIPS BETWEEN FOURIER-STIELTJES COEFFICIENTS AND SPECTRA OF MEASURES.STUDIA MATHEMATICA. VOL. 221. ISSUE 2. P. 117 -140 3 100% 0
5 BOCHKAREV, SV , (2014) DE LA VALLEE-POUSSIN MEANS OF FOURIER SERIES FOR THE QUADRATIC SPECTRUM AND FOR SPECTRA WITH POWER-LIKE DENSITY.RUSSIAN MATHEMATICAL SURVEYS. VOL. 69. ISSUE 1. P. 119 -152 4 67% 0
6 GORLICH, E , ROHS, AO , (1999) POLYNOMIAL PROJECTIONS IN C[-1,1] AND L-1(-1,1) WITH GROWTH N(GAMMA), O <GAMMA <= 1/2.JOURNAL OF APPROXIMATION THEORY. VOL. 96. ISSUE 2. P. 171-181 4 100% 0
7 BELL, JP , BORWEIN, PB , RICHMOND, LB , (1998) GROWTH OF THE PRODUCT PI(N)(J)=1(1-X(ALPHA J)).ACTA ARITHMETICA. VOL. 86. ISSUE 2. P. 155-170 4 100% 2
8 BELOV, AS , (2003) SOME ESTIMATES FOR NON-NEGATIVE TRIGONOMETRIC POLYNOMIALS AND PROPERTIES OF THESE POLYNOMIALS.IZVESTIYA MATHEMATICS. VOL. 67. ISSUE 4. P. 637-653 3 100% 0
9 BEUKERS, F , TIJDEMAN, R , (2013) ONE-SIDED POWER SUM AND COSINE INEQUALITIES.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 24. ISSUE 2. P. 373-381 3 75% 0
10 BELOV, AS , (2016) ESTIMATE OF THE REMAINDER IN THE ASYMPTOTIC SOLUTION OF AN EXTREMAL PROBLEM INVOLVING NONNEGATIVE TRIGONOMETRIC POLYNOMIALS.MATHEMATICAL NOTES. VOL. 100. ISSUE 1-2. P. 325 -329 2 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 29164 MERIT FACTOR//LITTLEWOOD POLYNOMIALS//FEKETE POLYNOMIALS
2 14870 APPROXIMATION PROPERTY//BOUNDED APPROXIMATION PROPERTY//P COMPACT OPERATOR
3 32393 PHASE FUNCTION METHOD//SUPERSYMMETRY AND FACTORIZATION//NP SCATTERING
4 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
5 16946 MAHLER MEASURE//SALEM NUMBERS//EXPLICIT AUXILIARY FUNCTION
6 20588 QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION
7 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
8 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
9 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
10 17835 MARTINGALE HARDY SPACE//NUMER ANAL//WALSH KACZMARZ SYSTEM

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