Class information for:
Level 1: SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21484 417 20.9 45%


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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
1602 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 7120
21484 1                   SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS 417

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 SELF AFFINE MEASURE authKW 1525168 6% 77% 27
2 SPECTRAL PAIRS authKW 1467835 5% 95% 21
3 ORTHOGONAL EXPONENTIALS authKW 1244832 4% 100% 17
4 COMPATIBLE PAIR authKW 883933 3% 93% 13
5 FUGLEDES CONJECTURE authKW 593124 2% 90% 9
6 POLYNOMIAL FUNCTIONAL EQUATION authKW 448504 2% 88% 7
7 QUANTUM INTEGERS authKW 398669 2% 78% 7
8 AFFINE FRACTAL authKW 366127 1% 100% 5
9 CUBE TILING authKW 366127 1% 100% 5
10 DIGIT SET authKW 348889 2% 53% 9

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 13327 76% 0% 318
2 Mathematics, Applied 2658 32% 0% 134
3 Physics, Mathematical 126 6% 0% 23
4 Computer Science, Theory & Methods 16 2% 0% 10
5 Music 11 0% 0% 2
6 Imaging Science & Photographic Technology 6 1% 0% 3
7 Spectroscopy 5 2% 0% 7
8 Engineering, General 3 1% 0% 5
9 Optics 3 3% 0% 11
10 Remote Sensing 2 0% 0% 2

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 WYDZIAL MATEMAT INFORMAT EKONOMETRII 326181 2% 64% 7
2 HBEREICH MATH AG 4 73225 0% 100% 1
3 M MO FED DENIS POISSON 73225 0% 100% 1
4 WYDZIALMATEMAT INFORMAT EKONOMETRII 73225 0% 100% 1
5 WYDZIAL MATEMAT INFORMATYKI EKONOMETRII 73223 0% 50% 2
6 GEODESY CADASTRE 73217 1% 20% 5
7 A REYNI MATH 36612 0% 50% 1
8 BIBOS BIELEFELD BONN 36612 0% 50% 1
9 MLH 14 36612 0% 50% 1
10 MATH MECH NAS AZERBAIJAN 24407 0% 33% 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 FUNCTIONAL ANALYSIS 15428 9% 1% 37
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 14516 3% 2% 13
3 COMPLEX ANALYSIS AND OPERATOR THEORY 5859 2% 1% 7
4 JOURNAL OF MATHEMATICS AND MUSIC 2925 0% 2% 2
5 ACTA APPLICANDAE MATHEMATICAE 2776 2% 0% 9
6 ADVANCES IN MATHEMATICS 2629 3% 0% 13
7 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2493 2% 0% 8
8 DISCRETE & COMPUTATIONAL GEOMETRY 2261 2% 0% 8
9 COMPTES RENDUS MATHEMATIQUE 2132 3% 0% 11
10 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2077 1% 1% 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 SELF AFFINE MEASURE 1525168 6% 77% 27 Search SELF+AFFINE+MEASURE Search SELF+AFFINE+MEASURE
2 SPECTRAL PAIRS 1467835 5% 95% 21 Search SPECTRAL+PAIRS Search SPECTRAL+PAIRS
3 ORTHOGONAL EXPONENTIALS 1244832 4% 100% 17 Search ORTHOGONAL+EXPONENTIALS Search ORTHOGONAL+EXPONENTIALS
4 COMPATIBLE PAIR 883933 3% 93% 13 Search COMPATIBLE+PAIR Search COMPATIBLE+PAIR
5 FUGLEDES CONJECTURE 593124 2% 90% 9 Search FUGLEDES+CONJECTURE Search FUGLEDES+CONJECTURE
6 POLYNOMIAL FUNCTIONAL EQUATION 448504 2% 88% 7 Search POLYNOMIAL+FUNCTIONAL+EQUATION Search POLYNOMIAL+FUNCTIONAL+EQUATION
7 QUANTUM INTEGERS 398669 2% 78% 7 Search QUANTUM+INTEGERS Search QUANTUM+INTEGERS
8 AFFINE FRACTAL 366127 1% 100% 5 Search AFFINE+FRACTAL Search AFFINE+FRACTAL
9 CUBE TILING 366127 1% 100% 5 Search CUBE+TILING Search CUBE+TILING
10 DIGIT SET 348889 2% 53% 9 Search DIGIT+SET Search DIGIT+SET

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 BOSE, D , MADAN, S , (2011) SPECTRUM IS PERIODIC FOR N-INTERVALS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 260. ISSUE 1. P. 308 -325 39 95% 7
2 HE, L , HE, XG , (2017) ON THE FOURIER ORTHONORMAL BASES OF CANTOR-MORAN MEASURES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 272. ISSUE 5. P. 1980 -2004 30 100% 0
3 AN, LX , HE, XG , LAU, KS , (2015) SPECTRALITY OF A CLASS OF INFINITE CONVOLUTIONS.ADVANCES IN MATHEMATICS. VOL. 283. ISSUE . P. 362 -376 27 96% 2
4 AN, LX , HE, XG , TAO, L , (2015) SPECTRALITY OF THE PLANAR SIERPINSKI FAMILY.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 432. ISSUE 2. P. 725 -732 26 100% 1
5 LI, JL , (2010) DUALITY PROPERTIES BETWEEN SPECTRA AND TILINGS.SCIENCE CHINA-MATHEMATICS. VOL. 53. ISSUE 5. P. 1307 -1317 31 94% 4
6 DUTKAY, DE , LAI, CK , (2017) SPECTRAL MEASURES GENERATED BY ARBITRARY AND RANDOM CONVOLUTIONS.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. VOL. 107. ISSUE 2. P. 183 -204 26 87% 0
7 FU, YS , WEN, ZX , (2015) SPECTRAL PROPERTY OF A CLASS OF MORAN MEASURES ON R.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 430. ISSUE 1. P. 572 -584 24 96% 1
8 AN, LX , HE, XG , LI, HX , (2015) SPECTRALITY OF INFINITE BERNOULLI CONVOLUTIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 5. P. 1571 -1590 23 100% 1
9 DAI, XR , HE, XG , LAU, KS , (2014) ON SPECTRAL N-BERNOULLI MEASURES.ADVANCES IN MATHEMATICS. VOL. 259. ISSUE . P. 511-531 22 100% 4
10 DENG, QR , LAU, KS , (2015) SIERPINSKI-TYPESPECTRAL SELF-SIMILAR MEASURES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 5. P. 1310 -1326 23 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
2 2811 HAUSDORFF DIMENSION//SELF SIMILAR SET//ITERATED FUNCTION SYSTEM
3 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
4 4664 GABOR FRAMES//MODULATION SPACES//FRAMES
5 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM
6 29359 POLYOMINO TILINGS//LATTICE PERIODIC TILINGS//TILE INVARIANTS
7 24118 PERFECT CODES//FACTORIZATION OF FINITE ABELIAN GROUPS//PERFECT BINARY CODES
8 28629 MATH INVEST CRYSTALLOG MINERAL PETROG//PLATINUM GRP ELEMENTS ORE GENESIS//PRODUCT OF LINEAR FORMS
9 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
10 31353 MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION

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