Class information for:
Level 1: ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23652 339 23.7 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
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
23652 1                   ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS 339

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 ALPHA COMPLETELY POSITIVE MAP authKW 540445 2% 100% 6
2 J REPRESENTATION authKW 450371 1% 100% 5
3 WICK POWERS authKW 202665 1% 75% 3
4 LOCALLY C ALGEBRA authKW 187649 1% 42% 5
5 COMPLETELY N POSITIVE LINEAR MAPS authKW 180148 1% 100% 2
6 COVARIANT COMPLETELY POSITIVE MAP authKW 180148 1% 100% 2
7 COVARIANT COMPLETELY POSITIVE MAPS authKW 180148 1% 100% 2
8 EUCLIDEAN FIELDS authKW 180148 1% 100% 2
9 HORMANDERS L 2 ESTIMATES authKW 180148 1% 100% 2
10 KREIN MODULE authKW 180148 1% 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 Physics, Mathematical 9619 47% 0% 159
2 Mathematics 1145 26% 0% 88
3 Physics, Multidisciplinary 694 22% 0% 74
4 Physics, Particles & Fields 361 12% 0% 39
5 Mathematics, Applied 97 8% 0% 27
6 Astronomy & Astrophysics 45 6% 0% 21
7 Physics, Nuclear 43 4% 0% 14
8 History & Philosophy of Science 6 1% 0% 2
9 Statistics & Probability 2 1% 0% 4
10 Multidisciplinary Sciences 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 VOLKSWAGENSTIFTUNG 180148 1% 100% 2
2 BIBO S 120098 1% 67% 2
3 DIPARTIMENTO FIS INFN SEZIONE PISA 90074 0% 100% 1
4 SCULOA NORMALE SUPER 90074 0% 100% 1
5 VOLKSWAGENSTIFTUNG BIBOS 90074 0% 100% 1
6 FAK MAT 45036 0% 50% 1
7 MATH FINANCE 43412 3% 5% 9
8 IE TAMM THEORY 30017 1% 8% 4
9 PL MATH PROBABIL 22517 0% 25% 1
10 SETOR FIS MATEMAT 22517 0% 25% 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 MATHEMATICAL PHYSICS 21767 18% 0% 62
2 LETTERS IN MATHEMATICAL PHYSICS 14962 7% 1% 23
3 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 12133 4% 1% 13
4 THEORETICAL AND MATHEMATICAL PHYSICS 11201 7% 0% 25
5 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 7492 2% 1% 7
6 REVIEWS IN MATHEMATICAL PHYSICS 6782 2% 1% 8
7 COMMUNICATIONS IN MATHEMATICAL PHYSICS 3977 6% 0% 19
8 ANNALS OF PHYSICS 2772 4% 0% 12
9 REPORTS ON MATHEMATICAL PHYSICS 2151 1% 0% 5
10 UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS 2060 1% 1% 4

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 ALPHA COMPLETELY POSITIVE MAP 540445 2% 100% 6 Search ALPHA+COMPLETELY+POSITIVE+MAP Search ALPHA+COMPLETELY+POSITIVE+MAP
2 J REPRESENTATION 450371 1% 100% 5 Search J+REPRESENTATION Search J+REPRESENTATION
3 WICK POWERS 202665 1% 75% 3 Search WICK+POWERS Search WICK+POWERS
4 LOCALLY C ALGEBRA 187649 1% 42% 5 Search LOCALLY+C+ALGEBRA Search LOCALLY+C+ALGEBRA
5 COMPLETELY N POSITIVE LINEAR MAPS 180148 1% 100% 2 Search COMPLETELY+N+POSITIVE+LINEAR+MAPS Search COMPLETELY+N+POSITIVE+LINEAR+MAPS
6 COVARIANT COMPLETELY POSITIVE MAP 180148 1% 100% 2 Search COVARIANT+COMPLETELY+POSITIVE+MAP Search COVARIANT+COMPLETELY+POSITIVE+MAP
7 COVARIANT COMPLETELY POSITIVE MAPS 180148 1% 100% 2 Search COVARIANT+COMPLETELY+POSITIVE+MAPS Search COVARIANT+COMPLETELY+POSITIVE+MAPS
8 EUCLIDEAN FIELDS 180148 1% 100% 2 Search EUCLIDEAN+FIELDS Search EUCLIDEAN+FIELDS
9 HORMANDERS L 2 ESTIMATES 180148 1% 100% 2 Search HORMANDERS+L+2+ESTIMATES Search HORMANDERS+L+2+ESTIMATES
10 KREIN MODULE 180148 1% 100% 2 Search KREIN+MODULE Search KREIN+MODULE

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 ALBEVERIO, S , GOTTSCHALK, H , (2016) QUANTUM FIELDS OBTAINED FROM CONVOLUTED GENERALIZED WHITE NOISE NEVER HAVE POSITIVE METRIC.LETTERS IN MATHEMATICAL PHYSICS. VOL. 106. ISSUE 5. P. 575 -581 14 93% 0
2 ALBEVERIO, S , GOTTSCHALK, H , YOSHIDA, MW , (2005) SYSTEMS OF CLASSICAL PARTICLES IN THE GRAND CANONICAL ENSEMBLE, SCALING LIMITS AND QUANTUM FIELD THEORY.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 17. ISSUE 2. P. 175-226 15 88% 7
3 COSTACHE, TL , (2013) THE KSGNS CONSTRUCTION ASSOCIATED WITH A PROJECTIVE U-COVARIANT COMPLETELY POSITIVE LINEAR MAP.UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS. VOL. 75. ISSUE 2. P. 11 -20 9 100% 0
4 SOLOVIEV, MA , (2004) ON THE GENERALIZED FUNCTION CALCULUS FOR INFRARED AND ULTRAVIOLET SINGULAR QUANTUM FIELDS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 45. ISSUE 5. P. 1944-1958 12 92% 3
5 MOSLEHIAN, MS , JOITA, M , JI, UC , (2016) KSGNS TYPE CONSTRUCTIONS FOR ALPHA-COMPLETELY POSITIVE MAPS ON KREIN C*-MODULES.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 10. ISSUE 3. P. 617 -638 9 82% 0
6 SMIRNOV, AG , (2003) TOWARDS EUCLIDEAN THEORY OF INFRARED SINGULAR QUANTUM FIELDS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 44. ISSUE 5. P. 2058-2076 11 92% 5
7 GIELERAK, R , LUGIEWICZ, P , (2001) 4D LOCAL QUANTUM FIELD THEORY MODELS FROM COVARIANT STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS I. GENERALITIES.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 13. ISSUE 3. P. 335 -408 15 71% 3
8 COSTACHE, TL , (2015) KSGNS TYPE REPRESENTATIONS ON KREIN C*-MODULES ASSOCIATED WITH PROJECTIVE J- COVARIANT (ALPHA) - COMPLETELY POSITIVE MAPS.UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS. VOL. 77. ISSUE 2. P. 67 -78 8 89% 0
9 SOLOVIEV, MA , (2009) QUANTUM FIELD THEORY WITH A FUNDAMENTAL LENGTH: A GENERAL MATHEMATICAL FRAMEWORK.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 50. ISSUE 12. P. - 9 90% 0
10 HOFMANN, G , (1994) ON THE CONES OF ALPHA- AND GENERALIZED ALPHA-POSITIVITY FOR QUANTUM-FIELD THEORIES WITH INDEFINITE METRIC.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 30. ISSUE 4. P. 641-670 14 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 20957 LEBESGUE TYPE DECOMPOSITION//NONNEGATIVE SESQUILINEAR FORMS//ALMOST DOMINATED PART
2 7505 SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY
3 29733 PHYS NUCL ENGN HORIA HULUBEI//KS RCO MT CR//CANONICAL QUANTIZATION OF GAUGE THEORIES
4 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
5 18767 RENORMALIZATION INVARIANCE//OBERMANN ADV STUDY//COMMUNICATIONS IN MATHEMATICAL PHYSICS
6 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
7 25973 BAR CATEGORIES//BIO OURCES MATHHIGASHI KU//BOGOLUBOV GENERATING FUNCTIONAL
8 34417 GAUGE ORBIT SPACE//NONGENERIC STRATA//ORBIT TYPES
9 18463 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS
10 35817 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA//PHYS THEOR PARTICULES ELEMENTAI//LPTPE

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