Class information for:
Level 1: ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
35122 102 11.5 30%



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
9 4 COMPUTER SCIENCE, THEORY & METHODS//COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE//COMPUTER SCIENCE, INFORMATION SYSTEMS 1247339
181 3       DISCRETE MATHEMATICS//JOURNAL OF GRAPH THEORY//MATHEMATICS 56539
3367 2             MEDIAN GRAPH//GEODETIC NUMBER//FIBONACCI CUBE 1680
35122 1                   ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS 102

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 CONCAVITY authKW 399157 2% 67% 2
2 ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS authKW 299369 1% 100% 1
3 ANTI HOMOMORPHISMS authKW 299369 1% 100% 1
4 AUTOMORPHISMS OF GLN authKW 299369 1% 100% 1
5 BOUNDED COMPACTNESS CONDITION authKW 299369 1% 100% 1
6 CHAIN RULE IN R N authKW 299369 1% 100% 1
7 CONVOLUTION OF LINEAR OPERATOR authKW 299369 1% 100% 1
8 CONVOLUTIONAL ALGEBRA authKW 299369 1% 100% 1
9 DERIVATION PAIRS authKW 299369 1% 100% 1
10 DUAL TREATMENT OF CONCEPTS authKW 299369 1% 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 4799 92% 0% 94
2 Mathematics, Applied 578 30% 0% 31
3 Statistics & Probability 50 6% 0% 6
4 Mathematics, Interdisciplinary Applications 39 5% 0% 5
5 Education & Educational Research 4 2% 0% 2
6 Physics, Mathematical 2 2% 0% 2
7 Multidisciplinary Sciences 2 1% 0% 1
8 Operations Research & Management Science 0 1% 0% 1
9 Engineering, General 0 1% 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 SECT COMPLEX ANAL 299369 1% 100% 1
2 MATH SEMINAR 60151 11% 2% 11
3 M MO FEDERAT DENIS POISSON 19956 1% 7% 1
4 RAMANUJAN ADV STUDY MATH 9653 2% 2% 2
5 SACKLER EXACT SCI 5077 4% 0% 4
6 MATH ANAL 2984 4% 0% 4
7 MATH SCI 2853 27% 0% 28
8 MATEMAT ESTADIST COMPUTAC 1220 1% 0% 1
9 ICMC 669 1% 0% 1
10 ALFRED RENYI MATH 532 1% 0% 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 ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES 43537 4% 4% 4
2 FRACTIONAL CALCULUS AND APPLIED ANALYSIS 7605 3% 1% 3
3 ODGOJNE ZNANOSTI-EDUCATIONAL SCIENCES 4604 1% 2% 1
4 COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 3736 3% 0% 3
5 JOURNAL OF FUNCTIONAL ANALYSIS 2947 8% 0% 8
6 UKRAINIAN MATHEMATICAL JOURNAL 2757 3% 0% 3
7 ADVANCES IN GEOMETRY 2033 2% 0% 2
8 ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG 1861 2% 0% 2
9 JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY 1801 1% 1% 1
10 ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA 1403 1% 0% 1

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 CONCAVITY 399157 2% 67% 2 Search ALPHA+CONCAVITY Search ALPHA+CONCAVITY
2 ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS 299369 1% 100% 1 Search ALGEBRA+OF+CONTINUOUS+VECTOR+VALUED+FUNCTIONS Search ALGEBRA+OF+CONTINUOUS+VECTOR+VALUED+FUNCTIONS
3 ANTI HOMOMORPHISMS 299369 1% 100% 1 Search ANTI+HOMOMORPHISMS Search ANTI+HOMOMORPHISMS
4 AUTOMORPHISMS OF GLN 299369 1% 100% 1 Search AUTOMORPHISMS+OF+GLN Search AUTOMORPHISMS+OF+GLN
5 BOUNDED COMPACTNESS CONDITION 299369 1% 100% 1 Search BOUNDED+COMPACTNESS+CONDITION Search BOUNDED+COMPACTNESS+CONDITION
6 CHAIN RULE IN R N 299369 1% 100% 1 Search CHAIN+RULE+IN+R+N Search CHAIN+RULE+IN+R+N
7 CONVOLUTION OF LINEAR OPERATOR 299369 1% 100% 1 Search CONVOLUTION+OF+LINEAR+OPERATOR Search CONVOLUTION+OF+LINEAR+OPERATOR
8 CONVOLUTIONAL ALGEBRA 299369 1% 100% 1 Search CONVOLUTIONAL+ALGEBRA Search CONVOLUTIONAL+ALGEBRA
9 DERIVATION PAIRS 299369 1% 100% 1 Search DERIVATION+PAIRS Search DERIVATION+PAIRS
10 DUAL TREATMENT OF CONCEPTS 299369 1% 100% 1 Search DUAL+TREATMENT+OF+CONCEPTS Search DUAL+TREATMENT+OF+CONCEPTS

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 IUSEM, AN , REEM, D , SVAITER, BF , (2015) ORDER PRESERVING AND ORDER REVERSING OPERATORS ON THE CLASS OF CONVEX FUNCTIONS IN BANACH SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 268. ISSUE 1. P. 73 -92 11 85% 0
2 ALLGAIER, L , WEISSHAUPT, H , (2016) DIMENSION-RAISING HOMOMORPHISMS BETWEEN LATTICES OF CONVEX BODIES.ADVANCES IN MATHEMATICS. VOL. 289. ISSUE . P. 212 -249 10 91% 0
3 LINCHUK, SS , LINCHUK, YS , (2015) A DESCRIPTION OF DERIVATION OPERATORS WITH RESPECT TO CONVOLUTION OF GENERALIZED GEL'FOND-LEONT'EV INTEGRATION.FRACTIONAL CALCULUS AND APPLIED ANALYSIS. VOL. 18. ISSUE 4. P. 972 -981 10 91% 0
4 MILMAN, V , ARTSTEIN-AVIDAN, S , (2013) STABILITY RESULTS FOR SOME CLASSICAL CONVEXITY OPERATIONS.ADVANCES IN GEOMETRY. VOL. 13. ISSUE 1. P. 51 -70 9 100% 1
5 ARTSTEIN-AVIDAN, S , FAIFMAN, D , MILMAN, V , (2012) ON MULTIPLICATIVE MAPS OF CONTINUOUS AND SMOOTH FUNCTIONS.GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR 2006-2010. VOL. 2050. ISSUE . P. 35 -59 8 100% 1
6 LAI, HC , LEE, JC , LIU, CT , (2015) MULTIPLIERS OF BANACH-VALUED FUNCTION SPACES ON LCA GROUP.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 16. ISSUE 10. P. 1949 -1963 7 100% 0
7 ARTSTEIN-AVIDAN, S , FLORENTIN, D , MILMAN, V , (2012) ORDER ISOMORPHISMS ON CONVEX FUNCTIONS IN WINDOWS.GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR 2006-2010. VOL. 2050. ISSUE . P. 61 -122 7 100% 0
8 KONIG, H , MILMAN, V , (2014) OPERATOR EQUATIONS AND DOMAIN DEPENDENCE, THE CASE OF THE SCHWARZIAN DERIVATIVE.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 4. P. 2546-2569 6 100% 0
9 KONIG, H , MILMAN, V , (2013) AN OPERATOR EQUATION CHARACTERIZING THE LAPLACIAN.ST PETERSBURG MATHEMATICAL JOURNAL. VOL. 24. ISSUE 4. P. 631-644 6 100% 0
10 KONIG, H , MILMAN, V , (2014) THE DERIVATION EQUATION FOR C-K-FUNCTIONS: STABILITY AND LOCALIZATION.ISRAEL JOURNAL OF MATHEMATICS. VOL. 203. ISSUE 1. P. 405 -427 5 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 34111 END SPACE//DISTANCE TO THE INTERSECTION//PQ SYMMETRIC
2 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
3 4326 CONVEX BODY//STAR BODY//INTERSECTION BODY
4 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
5 26728 INTEGRAT STUDIES//CONSTRUCTIVE AXIOMATIZATION//QUASIPARALLEL LINES
6 6458 LORENTZ SPACES//REARRANGEMENT INVARIANT SPACES//REAL INTERPOLATION
7 8786 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
8 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
9 19739 GYROGROUP//THOMAS ROTATION//WIGNERS LITTLE GROUPS
10 37524 CASE BASED DECISION THEORY//EMPIRICAL SIMILARITY//CASE BASED DECISIONS

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