Class information for:
Level 1: NONLINEAR RIEMANN HILBERT PROBLEMS//TOPOLOGICAL DEGREE THEORY OF MAPPINGS//ANALYTIC MULTIFUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27993 216 16.1 26%


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
1570 2             PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD 7330
27993 1                   NONLINEAR RIEMANN HILBERT PROBLEMS//TOPOLOGICAL DEGREE THEORY OF MAPPINGS//ANALYTIC MULTIFUNCTIONS 216

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 NONLINEAR RIEMANN HILBERT PROBLEMS authKW 989573 3% 100% 7
2 TOPOLOGICAL DEGREE THEORY OF MAPPINGS authKW 424103 1% 100% 3
3 ANALYTIC MULTIFUNCTIONS authKW 353414 2% 50% 5
4 FREDHOLM QUASIRULED MAPPINGS authKW 282735 1% 100% 2
5 ANALYTIC BOUNDARY VALUE PROBLEM authKW 141368 0% 100% 1
6 ANALYTIC OPERATOR FUNCTIONS authKW 141368 0% 100% 1
7 ANGEWANDTE ANAL NUMER SUMULAT address 141368 0% 100% 1
8 ANORGAN ANAL NUMER SIMULAT address 141368 0% 100% 1
9 BEURLINGS PROBLEM authKW 141368 0% 100% 1
10 BOUNDARY VALUE PROBLEM FOR HOLOMORPHIC FUNCTIONS authKW 141368 0% 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 8370 84% 0% 181
2 Mathematics, Applied 943 27% 0% 58
3 Multidisciplinary Sciences 32 2% 0% 5
4 Mechanics 17 4% 0% 9
5 Automation & Control Systems 5 1% 0% 3
6 Operations Research & Management Science -0 0% 0% 1
7 Statistics & Probability -0 0% 0% 1
8 Physics, Fluids & Plasmas -0 0% 0% 1
9 Thermodynamics -0 0% 0% 1
10 Telecommunications -0 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 ANGEWANDTE ANAL NUMER SUMULAT 141368 0% 100% 1
2 ANORGAN ANAL NUMER SIMULAT 141368 0% 100% 1
3 WEIERSTRASS ANGEW ANAL STOCHASTIK 141368 0% 100% 1
4 I MATH 70683 0% 50% 1
5 TRAINING GRP ANAL SIMULAT DESIGN NANOTECHNO 70683 0% 50% 1
6 WEIERSTRASS ANGEW ANAL STOCHAST 70683 0% 50% 1
7 ANGEW ANAL NUMER SIMULAT 22840 2% 4% 4
8 FLUVIAL MECH 17667 1% 6% 2
9 ANGEW ANAL 12027 1% 4% 2
10 MATH 1 3568 1% 1% 3

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 MATHEMATISCHE NACHRICHTEN 6904 6% 0% 14
2 MICHIGAN MATHEMATICAL JOURNAL 6232 4% 1% 8
3 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 4124 1% 1% 2
4 CHINESE ANNALS OF MATHEMATICS SERIES B 3028 3% 0% 6
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2145 7% 0% 16
6 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 2077 2% 0% 4
7 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 1989 0% 1% 1
8 RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI 1987 1% 1% 2
9 PACIFIC JOURNAL OF MATHEMATICS 1969 4% 0% 8
10 MATHEMATISCHE ANNALEN 1918 4% 0% 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 NONLINEAR RIEMANN HILBERT PROBLEMS 989573 3% 100% 7 Search NONLINEAR+RIEMANN+HILBERT+PROBLEMS Search NONLINEAR+RIEMANN+HILBERT+PROBLEMS
2 TOPOLOGICAL DEGREE THEORY OF MAPPINGS 424103 1% 100% 3 Search TOPOLOGICAL+DEGREE+THEORY+OF+MAPPINGS Search TOPOLOGICAL+DEGREE+THEORY+OF+MAPPINGS
3 ANALYTIC MULTIFUNCTIONS 353414 2% 50% 5 Search ANALYTIC+MULTIFUNCTIONS Search ANALYTIC+MULTIFUNCTIONS
4 FREDHOLM QUASIRULED MAPPINGS 282735 1% 100% 2 Search FREDHOLM+QUASIRULED+MAPPINGS Search FREDHOLM+QUASIRULED+MAPPINGS
5 ANALYTIC BOUNDARY VALUE PROBLEM 141368 0% 100% 1 Search ANALYTIC+BOUNDARY+VALUE+PROBLEM Search ANALYTIC+BOUNDARY+VALUE+PROBLEM
6 ANALYTIC OPERATOR FUNCTIONS 141368 0% 100% 1 Search ANALYTIC+OPERATOR+FUNCTIONS Search ANALYTIC+OPERATOR+FUNCTIONS
7 BEURLINGS PROBLEM 141368 0% 100% 1 Search BEURLINGS+PROBLEM Search BEURLINGS+PROBLEM
8 BOUNDARY VALUE PROBLEM FOR HOLOMORPHIC FUNCTIONS 141368 0% 100% 1 Search BOUNDARY+VALUE+PROBLEM+FOR+HOLOMORPHIC+FUNCTIONS Search BOUNDARY+VALUE+PROBLEM+FOR+HOLOMORPHIC+FUNCTIONS
9 COMPOUND VECTOR VALUED PROBLEM 141368 0% 100% 1 Search COMPOUND+VECTOR+VALUED+PROBLEM Search COMPOUND+VECTOR+VALUED+PROBLEM
10 CONFORMAL MARTINGALE 141368 0% 100% 1 Search CONFORMAL+MARTINGALE Search CONFORMAL+MARTINGALE

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 CERNE, M , (2015) BEURLING'S BOUNDARY DIFFERENTIAL RELATIONS ON MULTIPLY CONNECTED DOMAINS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 428. ISSUE 1. P. 544 -562 12 92% 0
2 CERNE, M , (2004) NONLINEAR RIEMANN-HILBERT PROBLEM FOR BORDERED RIEMANN SURFACES.AMERICAN JOURNAL OF MATHEMATICS. VOL. 126. ISSUE 1. P. 65-87 15 65% 9
3 CERNE, M , ZAJEC, M , (2011) BOUNDARY DIFFERENTIAL RELATIONS FOR HOLOMORPHIC FUNCTIONS ON THE DISC.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 139. ISSUE 2. P. 473-484 9 90% 1
4 WHITTLESEY, M , (2000) POLYNOMIAL HULLS AND H-INFINITY CONTROL FOR A HYPOCONVEX CONSTRAINT.MATHEMATISCHE ANNALEN. VOL. 317. ISSUE 4. P. 677-701 15 68% 7
5 SADULLAEV, AS , (2008) ON ANALYTIC MULTIFUNCTIONS.MATHEMATICAL NOTES. VOL. 83. ISSUE 5-6. P. 652-656 8 100% 2
6 MICULA, S , WENDLAND, WL , (2015) TRIGONOMETRIC COLLOCATION FOR NONLINEAR RIEMANN-HILBERT PROBLEMS ON DOUBLY CONNECTED DOMAINS.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 35. ISSUE 2. P. 834 -858 6 100% 0
7 CERNE, M , (2002) MAXIMAL PLURISUBHARMONIC FUNCTIONS AND THE POLYNOMIAL HULL OF A COMPLETELY CIRCLED FIBRATION.ARKIV FOR MATEMATIK. VOL. 40. ISSUE 1. P. 27-45 10 77% 3
8 WHITTLESEY, MA , (1999) RIEMANN SURFACES IN FIBERED POLYNOMIAL HULLS.ARKIV FOR MATEMATIK. VOL. 37. ISSUE 2. P. 409-423 8 100% 2
9 WHITTLESEY, MA , (2004) POLYNOMIAL HULLS AND AN OPTIMIZATION PROBLEM.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 14. ISSUE 3. P. 545-556 10 67% 0
10 RANSFORD, TJ , (1994) HOLOMORPHIC PROCESSES IN BANACH-SPACES AND BANACH-ALGEBRAS.JOURNAL OF MULTIVARIATE ANALYSIS. VOL. 48. ISSUE 2. P. 315 -346 11 85% 0

Classes with closest relation at Level 1


Rank Class id link
1 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
2 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
3 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE
4 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
5 20129 ALMOST COMPLEX MANIFOLDS//ITERATES OF HOLOMORPHIC MAPPINGS//THE DENJOY WOLFF THEOREM
6 7020 CR MANIFOLD//CR MAPPINGS//CR FUNCTIONS
7 17665 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN
8 20713 ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA
9 18918 NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION
10 9060 GAP METRIC//PERFORMANCE LIMITATIONS//AUTOMATION & CONTROL SYSTEMS

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