Class information for:
Level 1: SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21755 407 19.4 36%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1797 2             MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS 6311
21755 1                   SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP 407

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 SEGAL BARGMANN TRANSFORM authKW 568599 3% 63% 12
2 ADAPTED COMPLEX STRUCTURES authKW 450148 1% 100% 6
3 TAYLOR MAP authKW 450148 1% 100% 6
4 GUTZMERS FORMULA authKW 300098 1% 100% 4
5 HERMITE AND LAGUERRE FUNCTIONS authKW 240077 1% 80% 4
6 COMPLEX CROWN authKW 225074 1% 100% 3
7 HOLOMORPHIC QUANTIZATION authKW 225074 1% 100% 3
8 STEIN EXTENSIONS authKW 225074 1% 100% 3
9 COMPLEX GROUPS authKW 168804 1% 75% 3
10 BLATTNER KOSTANT STERNBERG PAIRING authKW 150049 0% 100% 2

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 13846 79% 0% 320
2 Physics, Mathematical 988 14% 0% 58
3 Mathematics, Applied 193 10% 0% 40
4 Physics, Multidisciplinary 29 6% 0% 23
5 Statistics & Probability 6 1% 0% 6
6 Physics, Particles & Fields 3 2% 0% 8
7 Multidisciplinary Sciences 1 0% 0% 2
8 Education, Scientific Disciplines 0 0% 0% 1
9 Physics, Nuclear -1 0% 0% 2
10 Astronomy & Astrophysics -1 1% 0% 4

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 LS MATH 75025 0% 100% 1
2 SURGE IL RIVERSIDE 75025 0% 100% 1
3 UC MATH 75025 0% 100% 1
4 UMR 7502INRIAUHP 75025 0% 100% 1
5 MATH ANAL GEOMETRY DYNAM SYST 30764 2% 5% 8
6 PL PROBLEMS MATH MECH 25007 0% 33% 1
7 LEHRSTUHL THEORET PHYS 3 20003 0% 13% 2
8 DIPARTIMENTO MATEMAT VITO VOLTERRA 18755 0% 25% 1
9 UMR 7502 CNRS 18755 0% 25% 1
10 ELIE CARTANINRIA 15003 0% 20% 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 MATHEMATISCHE ANNALEN 16356 8% 1% 32
2 JOURNAL OF FUNCTIONAL ANALYSIS 7791 6% 0% 26
3 JOURNAL OF LIE THEORY 4862 2% 1% 7
4 MANUSCRIPTA MATHEMATICA 3895 3% 0% 13
5 MATHEMATICS OF THE USSR-IZVESTIYA 3810 1% 1% 5
6 POTENTIAL ANALYSIS 3659 2% 1% 7
7 INTERNATIONAL JOURNAL OF MATHEMATICS 3039 2% 1% 8
8 ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 2398 1% 1% 4
9 TOHOKU MATHEMATICAL JOURNAL 2186 1% 0% 6
10 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 2067 2% 0% 10

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 SEGAL BARGMANN TRANSFORM 568599 3% 63% 12 Search SEGAL+BARGMANN+TRANSFORM Search SEGAL+BARGMANN+TRANSFORM
2 ADAPTED COMPLEX STRUCTURES 450148 1% 100% 6 Search ADAPTED+COMPLEX+STRUCTURES Search ADAPTED+COMPLEX+STRUCTURES
3 TAYLOR MAP 450148 1% 100% 6 Search TAYLOR+MAP Search TAYLOR+MAP
4 GUTZMERS FORMULA 300098 1% 100% 4 Search GUTZMERS+FORMULA Search GUTZMERS+FORMULA
5 HERMITE AND LAGUERRE FUNCTIONS 240077 1% 80% 4 Search HERMITE+AND+LAGUERRE+FUNCTIONS Search HERMITE+AND+LAGUERRE+FUNCTIONS
6 COMPLEX CROWN 225074 1% 100% 3 Search COMPLEX+CROWN Search COMPLEX+CROWN
7 HOLOMORPHIC QUANTIZATION 225074 1% 100% 3 Search HOLOMORPHIC+QUANTIZATION Search HOLOMORPHIC+QUANTIZATION
8 STEIN EXTENSIONS 225074 1% 100% 3 Search STEIN+EXTENSIONS Search STEIN+EXTENSIONS
9 COMPLEX GROUPS 168804 1% 75% 3 Search COMPLEX+GROUPS Search COMPLEX+GROUPS
10 BLATTNER KOSTANT STERNBERG PAIRING 150049 0% 100% 2 Search BLATTNER+KOSTANT+STERNBERG+PAIRING Search BLATTNER+KOSTANT+STERNBERG+PAIRING

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 HALL, BC , MITCHELL, JJ , (2012) THE SEGAL-BARGMANN TRANSFORM FOR COMPACT QUOTIENTS OF SYMMETRIC SPACES OF THE COMPLEX TYPE.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 16. ISSUE 1. P. 13-45 32 91% 1
2 HALL, BC , MITCHELL, JJ , (2008) ISOMETRY THEOREM FOR THE SEGAL-BARGMANN TRANSFORM ON A NONCOMPACT SYMMETRIC SPACE OF THE COMPLEX.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 254. ISSUE 6. P. 1575-1600 28 93% 1
3 HALL, BC , MITCHELL, JJ , (2012) COHERENT STATES FOR A 2-SPHERE WITH A MAGNETIC FIELD.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 24. P. - 21 88% 1
4 LEMPERT, L , SZOKE, R , (2015) CURVATURE OF FIELDS OF QUANTUM HILBERT SPACES.QUARTERLY JOURNAL OF MATHEMATICS. VOL. 66. ISSUE 2. P. 645 -657 16 94% 0
5 VITALI, S , (2014) QUOTIENTS OF THE CROWN DOMAIN BY A PROPER ACTION OF A CYCLIC GROUP.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 6. P. 3227-3239 18 82% 0
6 HALL, BC , MITCHELL, JJ , (2005) THE SEGAL-BARGMANN TRANSFORM FOR NONCOMPACT SYMMETRIC SPACES OF THE COMPLEX TYPE.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 227. ISSUE 2. P. 338-371 22 76% 13
7 SERGEEV, AG , ZHOU, XY , (2014) INVARIANT DOMAINS OF HOLOMORPHY: TWENTY YEARS LATER.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 285. ISSUE 1. P. 241 -250 15 88% 0
8 HALL, BC , KIRWIN, WD , (2011) ADAPTED COMPLEX STRUCTURES AND THE GEODESIC FLOW.MATHEMATISCHE ANNALEN. VOL. 350. ISSUE 2. P. 455-474 17 81% 6
9 KIRWIN, WD , MOURAO, JM , NUNES, JP , (2013) COMPLEX TIME EVOLUTION IN GEOMETRIC QUANTIZATION AND GENERALIZED COHERENT STATE TRANSFORMS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 8. P. 1460 -1493 17 77% 0
10 DRIVER, BK , (2015) HOLOMORPHIC FUNCTIONS AND THE ITO CHAOS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 67. ISSUE 4. P. 1449 -1484 15 79% 0

Classes with closest relation at Level 1


Rank Class id link
1 15691 STEIN SPACE//STEIN MANIFOLD//OKA MANIFOLD
2 34417 GAUGE ORBIT SPACE//NONGENERIC STRATA//ORBIT TYPES
3 19524 INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS
4 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
5 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
6 20129 ALMOST COMPLEX MANIFOLDS//ITERATES OF HOLOMORPHIC MAPPINGS//THE DENJOY WOLFF THEOREM
7 5371 BERGMAN KERNEL//PSEUDOCONVEX DOMAIN//PARTIAL DERIVATIVE NEUMANN PROBLEM
8 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
9 8902 MALLIAVIN CALCULUS//SKOROHOD INTEGRAL//QUASI SURE CONVERGENCE
10 9153 KAHLER METRICS//KAHLER EINSTEIN METRIC//BALANCED METRICS

Go to start page