Class information for:
Level 1: PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
35452 97 13.8 23%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
1108 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY 9756
35452 1                   PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION 97

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 PARTIAL AUTOCORRELATION FUNCTIONS authKW 629601 2% 100% 2
2 RIGID FUNCTIONS authKW 629601 2% 100% 2
3 BAXTERS CONDITION authKW 314800 1% 100% 1
4 COMPACT FAMILY authKW 314800 1% 100% 1
5 COMPACT SUBSETS OF UNIT DISK authKW 314800 1% 100% 1
6 CONDITIONAL DIFFUSION PROCESS authKW 314800 1% 100% 1
7 INTERDISCIPLINARY SCI PHENOMENA INFORMA address 314800 1% 100% 1
8 LEVY MEASURE DENSITY authKW 314800 1% 100% 1
9 MA COEFFICIENTS authKW 314800 1% 100% 1
10 TOPOLOGY OF UNIFORM CONVERGENCE ON COMPACT SUBSETS OF THE UNIT DISK authKW 314800 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 4118 88% 0% 85
2 Mathematics, Applied 457 28% 0% 27
3 Statistics & Probability 234 12% 0% 12
4 Physics, Mathematical 2 2% 0% 2
5 Mathematics, Interdisciplinary Applications 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 INTERDISCIPLINARY SCI PHENOMENA INFORMA 314800 1% 100% 1
2 MATH COMP SCI PHYS ASTRON WINS 157399 1% 50% 1
3 ATSUBETU KU 44970 1% 14% 1
4 WINS 16567 1% 5% 1
5 KORTEWEG VRIES MATH 7153 1% 2% 1
6 MATH COMP SCI PHYS ASTRON 6052 1% 2% 1
7 MATH 443 26% 0% 25
8 MATH COMP SCI 133 4% 0% 4
9 HUMANITIES SCI 120 1% 0% 1
10 SCI 112 13% 0% 13

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 THE MATHEMATICAL SOCIETY OF JAPAN 4510 5% 0% 5
2 INDAGATIONES MATHEMATICAE-NEW SERIES 4193 4% 0% 4
3 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3683 14% 0% 14
4 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 3258 4% 0% 4
5 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 2605 3% 0% 3
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2528 13% 0% 13
7 INTEGRAL EQUATIONS AND OPERATOR THEORY 2250 4% 0% 4
8 ACTA MATHEMATICA SCIENTIA 1989 4% 0% 4
9 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS 1029 2% 0% 2
10 METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY 556 1% 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 PARTIAL AUTOCORRELATION FUNCTIONS 629601 2% 100% 2 Search PARTIAL+AUTOCORRELATION+FUNCTIONS Search PARTIAL+AUTOCORRELATION+FUNCTIONS
2 RIGID FUNCTIONS 629601 2% 100% 2 Search RIGID+FUNCTIONS Search RIGID+FUNCTIONS
3 BAXTERS CONDITION 314800 1% 100% 1 Search BAXTERS+CONDITION Search BAXTERS+CONDITION
4 COMPACT FAMILY 314800 1% 100% 1 Search COMPACT+FAMILY Search COMPACT+FAMILY
5 COMPACT SUBSETS OF UNIT DISK 314800 1% 100% 1 Search COMPACT+SUBSETS+OF+UNIT+DISK Search COMPACT+SUBSETS+OF+UNIT+DISK
6 CONDITIONAL DIFFUSION PROCESS 314800 1% 100% 1 Search CONDITIONAL+DIFFUSION+PROCESS Search CONDITIONAL+DIFFUSION+PROCESS
7 LEVY MEASURE DENSITY 314800 1% 100% 1 Search LEVY+MEASURE+DENSITY Search LEVY+MEASURE+DENSITY
8 MA COEFFICIENTS 314800 1% 100% 1 Search MA+COEFFICIENTS Search MA+COEFFICIENTS
9 TOPOLOGY OF UNIFORM CONVERGENCE ON COMPACT SUBSETS OF THE UNIT DISK 314800 1% 100% 1 Search TOPOLOGY+OF+UNIFORM+CONVERGENCE+ON+COMPACT+SUBSETS+OF+THE+UNIT+DISK Search TOPOLOGY+OF+UNIFORM+CONVERGENCE+ON+COMPACT+SUBSETS+OF+THE+UNIT+DISK
10 VERBLUNKY COEFFICIENTS 314800 1% 100% 1 Search VERBLUNKY+COEFFICIENTS Search VERBLUNKY+COEFFICIENTS

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 KASAHARA, Y , BINGHAM, NH , (2014) VERBLUNSKY COEFFICIENTS AND NEHARI SEQUENCES.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 3. P. 1363-1378 11 100% 2
2 HALLENBECK, DJ , HALLENBECK, KT , (2000) EXTREME POINTS AND SUPPORT POINTS OF SUBORDINATION FAMILIES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 251. ISSUE 1. P. 157-166 16 100% 2
3 KASAHARA, Y , INOUE, A , POURAHMADI, M , (2016) RIGIDITY FOR MATRIX-VALUED HARDY FUNCTIONS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 84. ISSUE 2. P. 289 -300 10 91% 0
4 INOUE, A , KASAHARA, Y , POURAHMADI, M , (2016) THE INTERSECTION OF PAST AND FUTURE FOR MULTIVARIATE STATIONARY PROCESSES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 144. ISSUE 4. P. 1779 -1786 8 100% 0
5 NAKAZI, T , (2003) ABSOLUTE VALUES AND REAL PARTS FOR FUNCTIONS IN THE SMIRNOV CLASS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 14. ISSUE 1. P. 55-61 7 100% 1
6 PENG, ZG , ZHONG, GZ , (2017) SOME PROPERTIES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL INEQUALITIES.ACTA MATHEMATICA SCIENTIA. VOL. 37. ISSUE 1. P. 69 -78 8 62% 0
7 BINGHAM, NH , INOUE, A , KASAHARA, Y , (2012) AN EXPLICIT REPRESENTATION OF VERBLUNSKY COEFFICIENTS.STATISTICS & PROBABILITY LETTERS. VOL. 82. ISSUE 2. P. 403 -410 5 71% 1
8 TAKEMURA, A , (2016) EXPONENTIAL DECAY RATE OF PARTIAL AUTOCORRELATION COEFFICIENTS OF ARMA AND SHORT-MEMORY PROCESSES.STATISTICS & PROBABILITY LETTERS. VOL. 110. ISSUE . P. 207 -210 4 80% 0
9 BENEKER, P , (1998) STRONGLY EXPOSED POINTS, HELSON-SZEGO WEIGHTS AND TOEPLITZ OPERATORS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 31. ISSUE 3. P. 299-306 6 86% 1
10 HALLENBECK, DJ , (1992) SUBORDINATION FAMILIES.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 22. ISSUE 3. P. 867-876 6 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
2 29716 TAUBERIAN//FACTORED FOURIER SERIES//MULTIVARIATE HEAVY TAILS
3 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
4 17327 HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS
5 31934 RAPIDLY VARYING SEQUENCE//RAPIDLY VARYING FUNCTION//REGULARLY VARYING SEQUENCE
6 21683 CONSERVATIVE FLOW//EVANESCENT RANDOM FIELDS//MIXED MOVING AVERAGE
7 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
8 5622 ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//DIFFERENTIAL SUBORDINATION
9 17665 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN
10 5121 LONG MEMORY//FRACTIONAL INTEGRATION//LONG RANGE DEPENDENCE

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