Class information for:
Level 1: BERGMAN KERNEL//PSEUDOCONVEX DOMAIN//PARTIAL DERIVATIVE NEUMANN PROBLEM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5371 1632 17.0 38%


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
5371 1                   BERGMAN KERNEL//PSEUDOCONVEX DOMAIN//PARTIAL DERIVATIVE NEUMANN PROBLEM 1632

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 BERGMAN KERNEL authKW 539628 4% 44% 66
2 PSEUDOCONVEX DOMAIN authKW 332919 2% 57% 31
3 PARTIAL DERIVATIVE NEUMANN PROBLEM authKW 293638 1% 83% 19
4 KOBAYASHI METRIC authKW 256556 1% 57% 24
5 BERGMAN KERNEL FUNCTION authKW 228060 1% 76% 16
6 PARTIAL DERIVATIVE NEUMANN OPERATOR authKW 225839 1% 93% 13
7 BERGMAN PROJECTION authKW 210435 2% 38% 30
8 SYMMETRIZED BIDISC authKW 207233 1% 92% 12
9 CARTAN HARTOGS DOMAIN authKW 205795 1% 100% 11
10 TETRABLOCK authKW 205795 1% 100% 11

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 86438 98% 0% 1594
2 Mathematics, Applied 3349 19% 0% 308
3 Multidisciplinary Sciences 7 1% 0% 10
4 Physics, Mathematical -4 0% 0% 5
5 Automation & Control Systems -5 0% 0% 1
6 Statistics & Probability -8 0% 0% 1
7 Mechanics -15 0% 0% 2
8 Materials Science, Multidisciplinary -58 0% 0% 5

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 GEOMETRY ITS PLICAT 77941 1% 42% 10
2 INSAUTMUT1 33255 0% 44% 4
3 GEOMETRIE ANAL TOPOL 24944 0% 67% 2
4 ARITHMET GEOMET ANAL TOPOL 18709 0% 100% 1
5 CNRS HAUT ETUD SCI 18709 0% 100% 1
6 CNRSURF MATH 18709 0% 100% 1
7 DIPARTMENTO MATEMAT V VOLTERRA 18709 0% 100% 1
8 FM MATH 18709 0% 100% 1
9 GEOMET ANAL TOPOL 18709 0% 100% 1
10 MATH EMIEL PICARD 18709 0% 100% 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 GEOMETRIC ANALYSIS 60180 3% 6% 54
2 MATHEMATISCHE ANNALEN 42218 6% 2% 103
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 41935 3% 5% 44
4 MATHEMATISCHE ZEITSCHRIFT 38536 6% 2% 102
5 MICHIGAN MATHEMATICAL JOURNAL 29676 3% 3% 48
6 NAGOYA MATHEMATICAL JOURNAL 17808 2% 3% 34
7 ILLINOIS JOURNAL OF MATHEMATICS 17162 3% 2% 41
8 ANNALES POLONICI MATHEMATICI 14283 1% 4% 21
9 PACIFIC JOURNAL OF MATHEMATICS 13697 4% 1% 58
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9139 6% 1% 91

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 BERGMAN KERNEL 539628 4% 44% 66 Search BERGMAN+KERNEL Search BERGMAN+KERNEL
2 PSEUDOCONVEX DOMAIN 332919 2% 57% 31 Search PSEUDOCONVEX+DOMAIN Search PSEUDOCONVEX+DOMAIN
3 PARTIAL DERIVATIVE NEUMANN PROBLEM 293638 1% 83% 19 Search PARTIAL+DERIVATIVE+NEUMANN+PROBLEM Search PARTIAL+DERIVATIVE+NEUMANN+PROBLEM
4 KOBAYASHI METRIC 256556 1% 57% 24 Search KOBAYASHI+METRIC Search KOBAYASHI+METRIC
5 BERGMAN KERNEL FUNCTION 228060 1% 76% 16 Search BERGMAN+KERNEL+FUNCTION Search BERGMAN+KERNEL+FUNCTION
6 PARTIAL DERIVATIVE NEUMANN OPERATOR 225839 1% 93% 13 Search PARTIAL+DERIVATIVE+NEUMANN+OPERATOR Search PARTIAL+DERIVATIVE+NEUMANN+OPERATOR
7 BERGMAN PROJECTION 210435 2% 38% 30 Search BERGMAN+PROJECTION Search BERGMAN+PROJECTION
8 SYMMETRIZED BIDISC 207233 1% 92% 12 Search SYMMETRIZED+BIDISC Search SYMMETRIZED+BIDISC
9 CARTAN HARTOGS DOMAIN 205795 1% 100% 11 Search CARTAN+HARTOGS+DOMAIN Search CARTAN+HARTOGS+DOMAIN
10 TETRABLOCK 205795 1% 100% 11 Search TETRABLOCK Search TETRABLOCK

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 KRANTZ, SG , (2013) THE AUTOMORPHISM GROUPS OF DOMAINS IN COMPLEX SPACE: A SURVEY.QUAESTIONES MATHEMATICAE. VOL. 36. ISSUE 2. P. 225-251 67 78% 0
2 NIKOLOV, N , (2012) INVARIANT FUNCTIONS AND METRICS IN COMPLEX ANALYSIS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 486. P. 1 -100 61 85% 3
3 CHARPENTIER, P , DUPAIN, Y , (2015) EXTREMAL BASES, GEOMETRICALLY SEPARATED DOMAINS AND APPLICATIONS.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 26. ISSUE 1. P. 139 -191 32 97% 0
4 ISAEV, AV , KRANTZ, SG , (1999) DOMAINS WITH NON-COMPACT AUTOMORPHISM GROUP: A SURVEY.ADVANCES IN MATHEMATICS. VOL. 146. ISSUE 1. P. 1 -38 40 93% 35
5 JASICZAK, M , (2014) EXTENSION FROM LINEAR SUBVARIETIES FOR THE BERGMAN SCALE OF SPACES ON CONVEX DOMAINS.ANNALES POLONICI MATHEMATICI. VOL. 112. ISSUE 1. P. 1 -23 26 96% 1
6 KIM, KT , KRANTZ, SG , (2008) COMPLEX SCALING AND GEOMETRIC ANALYSIS OF SEVERAL VARIABLES.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 45. ISSUE 3. P. 523-561 37 76% 4
7 JASICZAK, M , (2016) EXTENSION AND RESTRICTION FOR BERGMAN SCALE OF SPACES AND ONE-DIMENSIONAL SUBVARIETIES ON CONVEX FINITE TYPE DOMAINS.NAGOYA MATHEMATICAL JOURNAL. VOL. 221. ISSUE 1. P. 165 -183 24 96% 0
8 JASICZAK, M , (2015) GAIN OF REGULARITY IN EXTENSION PROBLEM ON CONVEX DOMAINS.JOURNAL OF FUNCTION SPACES. VOL. . ISSUE . P. - 24 92% 0
9 NOELL, A , (2008) PEAK POINTS FOR PSEUDOCONVEX DOMAINS: A SURVEY.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 18. ISSUE 4. P. 1058 -1087 26 100% 3
10 CHEN, BY , FU, SQ , (2011) COMPARISON OF THE BERGMAN AND SZEGO KERNELS.ADVANCES IN MATHEMATICS. VOL. 228. ISSUE 4. P. 2366-2384 26 90% 4

Classes with closest relation at Level 1


Rank Class id link
1 20129 ALMOST COMPLEX MANIFOLDS//ITERATES OF HOLOMORPHIC MAPPINGS//THE DENJOY WOLFF THEOREM
2 7020 CR MANIFOLD//CR MAPPINGS//CR FUNCTIONS
3 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
4 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT
5 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
6 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
7 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
8 21755 SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP
9 17525 COMPLEX VECTOR FIELDS//NON COMMUTATIVE HARMONIC OSCILLATOR//HYPOELLIPTICITY
10 14828 TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE

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