Class information for:
Level 1: GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
15889 685 20.6 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
15889 1                   GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS 685

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 GENERALIZED SCHUR FUNCTIONS authKW 401183 1% 100% 9
2 INTEGRAL EQUATIONS AND OPERATOR THEORY journal 316968 18% 6% 126
3 WEYL MATRIX BALLS authKW 267455 1% 100% 6
4 UNITARY COUPLING authKW 222879 1% 100% 5
5 GENERALIZED SCHUR CLASS authKW 185731 1% 83% 5
6 J POTAPOV FUNCTIONS authKW 178303 1% 100% 4
7 J POTAPOV SEQUENCES authKW 178303 1% 100% 4
8 MATRICIAL CARATHEODORY FUNCTIONS authKW 178303 1% 100% 4
9 ORTHOGONAL RATIONAL MATRIX VALUED FUNCTIONS authKW 178303 1% 100% 4
10 SCATTERING SUBOPERATOR authKW 178303 1% 100% 4

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 29753 89% 0% 607
2 Mathematics, Applied 6380 39% 0% 264
3 Automation & Control Systems 70 2% 0% 17
4 Multidisciplinary Sciences 9 1% 0% 6
5 Physics, Mathematical 3 1% 0% 9
6 Operations Research & Management Science 2 1% 0% 6
7 Computer Science, Theory & Methods -0 1% 0% 5
8 Social Sciences, Mathematical Methods -0 0% 0% 1
9 Computer Science, Information Systems -0 1% 0% 4
10 Acoustics -1 0% 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 COMP WETEN PEN 48526 1% 16% 7
2 AFD NUM ANAL TOEG WISKUNDE 44576 0% 100% 1
3 AFDELING WISKUNDE EXACTE WETEN PEN 44576 0% 100% 1
4 ECON MOETODOS CUANTITAT HIST ECON 44576 0% 100% 1
5 EXACT WETEN PEN 44576 0% 100% 1
6 MATH FEW 44576 0% 100% 1
7 PEDAG MIRANDA 44576 0% 100% 1
8 UNITE FORMAT EEA 44576 0% 100% 1
9 UNITE FORMAT SPI 44576 0% 100% 1
10 AFDELING WISKUNDE 38307 1% 12% 7

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 INTEGRAL EQUATIONS AND OPERATOR THEORY 316968 18% 6% 126
2 LINEAR ALGEBRA AND ITS APPLICATIONS 52229 17% 1% 116
3 COMPLEX ANALYSIS AND OPERATOR THEORY 41976 4% 4% 24
4 MATHEMATISCHE NACHRICHTEN 17765 6% 1% 40
5 JOURNAL OF OPERATOR THEORY 16852 3% 2% 22
6 JOURNAL OF FUNCTIONAL ANALYSIS 10949 6% 1% 40
7 ACTA SCIENTIARUM MATHEMATICARUM 7416 1% 2% 7
8 OPERATORS AND MATRICES 4604 1% 1% 7
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4055 6% 0% 44
10 JOURNAL D ANALYSE MATHEMATIQUE 2414 1% 1% 8

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 GENERALIZED SCHUR FUNCTIONS 401183 1% 100% 9 Search GENERALIZED+SCHUR+FUNCTIONS Search GENERALIZED+SCHUR+FUNCTIONS
2 WEYL MATRIX BALLS 267455 1% 100% 6 Search WEYL+MATRIX+BALLS Search WEYL+MATRIX+BALLS
3 UNITARY COUPLING 222879 1% 100% 5 Search UNITARY+COUPLING Search UNITARY+COUPLING
4 GENERALIZED SCHUR CLASS 185731 1% 83% 5 Search GENERALIZED+SCHUR+CLASS Search GENERALIZED+SCHUR+CLASS
5 J POTAPOV FUNCTIONS 178303 1% 100% 4 Search J+POTAPOV+FUNCTIONS Search J+POTAPOV+FUNCTIONS
6 J POTAPOV SEQUENCES 178303 1% 100% 4 Search J+POTAPOV+SEQUENCES Search J+POTAPOV+SEQUENCES
7 MATRICIAL CARATHEODORY FUNCTIONS 178303 1% 100% 4 Search MATRICIAL+CARATHEODORY+FUNCTIONS Search MATRICIAL+CARATHEODORY+FUNCTIONS
8 ORTHOGONAL RATIONAL MATRIX VALUED FUNCTIONS 178303 1% 100% 4 Search ORTHOGONAL+RATIONAL+MATRIX+VALUED+FUNCTIONS Search ORTHOGONAL+RATIONAL+MATRIX+VALUED+FUNCTIONS
9 SCATTERING SUBOPERATOR 178303 1% 100% 4 Search SCATTERING+SUBOPERATOR Search SCATTERING+SUBOPERATOR
10 BLOCK HANKEL VECTOR 142641 1% 80% 4 Search BLOCK+HANKEL+VECTOR Search BLOCK+HANKEL+VECTOR

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 ZHAN, XZ , HU, YJ , CHEN, GN , (2016) ON MAXIMAL WEIGHT SOLUTIONS OF TWO MATRICIAL MOMENT PROBLEMS IN THE NONDEGENERATE CASE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 506. ISSUE . P. 413 -444 14 93% 0
2 LASAROW, A , (2008) SOLUTION OF A MULTIPLE NEVANLINNA-PICK PROBLEM FOR CARATHEODORY FUNCTIONS VIA ORTHOGONAL RATIONAL FUNCTIONS IN THE MATRIX CASE.MATHEMATISCHE NACHRICHTEN. VOL. 281. ISSUE 1. P. 75-108 16 94% 2
3 BOGNER, S , FRITZSCHE, B , KIRSTEIN, B , (2007) THE SCHUR-POTAPOV ALGORITHM FOR SEQUENCES OF COMPLEX P X Q MATRICES. II.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 1. ISSUE 2. P. 235 -278 30 48% 0
4 BOLOTNIKOV, V , ELIN, M , SHOIKHET, D , (2016) BOUNDARY ASYMPTOTIC EXPANSIONS OF ANALYTIC SELF-MAPPINGS OF THE UNIT DISK.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 15. ISSUE . P. 399 -433 11 92% 0
5 BULTHEEL, A , MULLER, K , (1998) ON SEVERAL ASPECTS OF J-INNER FUNCTIONS IN SCHUR ANALYSIS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 5. ISSUE 5. P. 603 -648 20 80% 0
6 LERER, L , RODMAN, L , (1996) COMMON ZERO STRUCTURE OF RATIONAL MATRIX FUNCTIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 136. ISSUE 1. P. 1-38 18 95% 2
7 FRITZSCHE, B , FUCHS, S , KIRSTEIN, B , (1997) ON AROV-NORMALIZED J(PQ)-ELEMENTARY FACTORS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 77. ISSUE 1-2. P. 129-156 16 100% 1
8 FRITZSCHE, B , KIRSTEIN, B , LASAROW, A , (2009) THE MATRICIAL SCHUR PROBLEM IN BOTH NONDEGENERATE AND DEGENERATE CASES.MATHEMATISCHE NACHRICHTEN. VOL. 282. ISSUE 2. P. 180-210 11 100% 2
9 RODMAN, L , SPITKOVSKY, IM , WOERDEMAN, HJ , (2002) ABSTRACT BAND METHOD VIA FACTORIZATION, POSITIVE AND BAND EXTENSIONS OF MULTIVARIABLE ALMOST PERIODIC MATRIX FUNCTIONS, AND SPECTRAL ESTIMATION - INTRODUCTION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 160. ISSUE 762. P. 1-+ 20 65% 0
10 CHEN, GN , HU, YJ , (2011) MINIMUM W-ENTROPY INTERPOLANTS FOR MATRICIAL CARATHEODORY FUNCTIONS AND MAXIMUM DETERMINANT COMPLETIONS OF ASSOCIATED BLOCK PICK MATRIX.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 434. ISSUE 8. P. 1851-1878 10 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 33108 OPTIMIZAT SYST THEORY//COVARIANCE EXTENSION//RATIONAL COVARIANCE EXTENSION
2 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
3 9060 GAP METRIC//PERFORMANCE LIMITATIONS//AUTOMATION & CONTROL SYSTEMS
4 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
5 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
6 7998 TOEPLITZ MATRIX//TOEPLITZ MATRICES//DISPLACEMENT STRUCTURE
7 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
8 23472 FINITE HORIZON LQ PROBLEM//DISCRETE TIME ALGEBRAIC RICCATI EQUATION//UNMIXED SOLUTIONS
9 20219 MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION
10 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY

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