Class information for:
Level 1: LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28282 210 14.7 24%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
2042 2             SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS 5373
28282 1                   LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT 210

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 LIPSCHITZ ALGEBRAS authKW 523459 3% 60% 6
2 RECTIFIABLY CONNECTED authKW 436220 1% 100% 3
3 QUASICOMPACT authKW 327164 1% 75% 3
4 COMPACT ENDOMORPHISMS authKW 290813 1% 100% 2
5 POWER COMPACT authKW 290813 1% 100% 2
6 RESTRICTED MEAN VALUE PROPERTY authKW 290813 1% 100% 2
7 TRIGONOMETRIC BLENDING FUNCTIONS authKW 193874 1% 67% 2
8 ANALYTIC LIPSCHITZ ALGEBRA authKW 145407 0% 100% 1
9 BANACH ALGEBRA ENDOMORPHISMS authKW 145407 0% 100% 1
10 BASIC INVARIANT authKW 145407 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 8523 86% 0% 180
2 Mathematics, Applied 514 20% 0% 43
3 Physics, Mathematical 56 5% 0% 11
4 Multidisciplinary Sciences 3 1% 0% 2
5 Computer Science, Theory & Methods 1 1% 0% 3
6 Materials Science, Characterization, Testing 1 0% 0% 1
7 Computer Science, Software Engineering -0 0% 0% 1
8 Engineering, General -0 0% 0% 1
9 Instruments & Instrumentation -0 0% 0% 1
10 Mechanics -1 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 MATHEMACT 145407 0% 100% 1
2 MPB UMR 5467 145407 0% 100% 1
3 SCI MATH TOSHIMA KU 145407 0% 100% 1
4 UNIV ANGEW MATH STAT 145407 0% 100% 1
5 MATH SCI COMP ENGN 79302 3% 9% 6
6 NUMER METHODS ALGORITHMS 72702 0% 50% 1
7 KHARAZMI UNIV 44737 1% 15% 2
8 EQUIPE EDP 41541 1% 14% 2
9 NUMER MODELING 16155 0% 11% 1
10 CHEBYSHEV 4967 1% 2% 2

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 DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI 13357 5% 1% 10
2 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 13095 9% 1% 18
3 JOURNAL OF APPROXIMATION THEORY 10891 8% 0% 16
4 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 6320 0% 4% 1
5 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 4252 2% 1% 5
6 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 4242 1% 1% 2
7 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 3255 4% 0% 8
8 QUAESTIONES MATHEMATICAE 3045 1% 1% 3
9 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 2046 0% 1% 1
10 JOURNAL D ANALYSE MATHEMATIQUE 1974 2% 0% 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 LIPSCHITZ ALGEBRAS 523459 3% 60% 6 Search LIPSCHITZ+ALGEBRAS Search LIPSCHITZ+ALGEBRAS
2 RECTIFIABLY CONNECTED 436220 1% 100% 3 Search RECTIFIABLY+CONNECTED Search RECTIFIABLY+CONNECTED
3 QUASICOMPACT 327164 1% 75% 3 Search QUASICOMPACT Search QUASICOMPACT
4 COMPACT ENDOMORPHISMS 290813 1% 100% 2 Search COMPACT+ENDOMORPHISMS Search COMPACT+ENDOMORPHISMS
5 POWER COMPACT 290813 1% 100% 2 Search POWER+COMPACT Search POWER+COMPACT
6 RESTRICTED MEAN VALUE PROPERTY 290813 1% 100% 2 Search RESTRICTED+MEAN+VALUE+PROPERTY Search RESTRICTED+MEAN+VALUE+PROPERTY
7 TRIGONOMETRIC BLENDING FUNCTIONS 193874 1% 67% 2 Search TRIGONOMETRIC+BLENDING+FUNCTIONS Search TRIGONOMETRIC+BLENDING+FUNCTIONS
8 ANALYTIC LIPSCHITZ ALGEBRA 145407 0% 100% 1 Search ANALYTIC+LIPSCHITZ+ALGEBRA Search ANALYTIC+LIPSCHITZ+ALGEBRA
9 BANACH ALGEBRA ENDOMORPHISMS 145407 0% 100% 1 Search BANACH+ALGEBRA+ENDOMORPHISMS Search BANACH+ALGEBRA+ENDOMORPHISMS
10 BASIC INVARIANT 145407 0% 100% 1 Search BASIC+INVARIANT Search BASIC+INVARIANT

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 AMIRI, S , GOLBAHARAN, A , MAHYAR, H , (2016) WEIGHTED COMPOSITION OPERATORS ON ALGEBRAS OF DIFFERENTIABLE FUNCTIONS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 23. ISSUE 4. P. 595 -608 8 100% 0
2 ABTAHI, M , (2012) NORMED ALGEBRAS OF INFINITELY DIFFERENTIABLE LIPSCHITZ FUNCTIONS.QUAESTIONES MATHEMATICAE. VOL. 35. ISSUE 2. P. 195-202 6 100% 0
3 HANSEN, W , (2008) LITTLEWOOD'S ONE-CIRCLE PROBLEM, REVISITED.EXPOSITIONES MATHEMATICAE. VOL. 26. ISSUE 4. P. 365-374 7 88% 1
4 DRYANOV, D , PETROV, P , (2012) CANONICAL SETS OF BEST L-1-APPROXIMATION.JOURNAL OF FUNCTION SPACES AND APPLICATIONS. VOL. . ISSUE . P. - 7 78% 0
5 EL KADIRI, M , (2013) LIOUVILLE'S THEOREM AND THE RESTRICTED BIHARMONIC MEAN VALUE PROPERTY ON THE PLANE.ANALYSIS MATHEMATICA. VOL. 39. ISSUE 3. P. 209-216 5 100% 0
6 HOFFMANN, H , (2011) NORMED ALGEBRAS OF DIFFERENTIABLE FUNCTIONS ON COMPACT PLANE SETS: COMPLETENESS AND SEMISIMPLE COMPLETIONS.STUDIA MATHEMATICA. VOL. 207. ISSUE 1. P. 19 -45 6 86% 0
7 MAHYAR, H , SANATPOUR, AH , (2010) COMPACT AND QUASICOMPACT HOMOMORPHISMS BETWEEN DIFFERENTIABLE LIPSCHITZ ALGEBRAS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 17. ISSUE 3. P. 485-497 6 86% 0
8 MAHYAR, H , SANATPOUR, AH , (2010) QUASICOMPACT ENDOMORPHISMS OF LIPSCHITZ ALGEBRAS OF ANALYTIC FUNCTIONS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 76. ISSUE 1-2. P. 135 -145 5 100% 3
9 HANSEN, W , NIKOLOV, N , (2010) ONE-RADIUS RESULTS FOR SUPERMEDIAN FUNCTIONS ON R-D, D <= 2.MATHEMATISCHE ANNALEN. VOL. 348. ISSUE 3. P. 565 -575 5 100% 0
10 MAHYAR, H , (2009) COMPACT ENDOMORPHISMS OF INFINITELY DIFFERENTIABLE LIPSCHITZ ALGEBRAS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 39. ISSUE 1. P. 193 -217 5 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 25048 GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION
2 18693 CARLEMAN MATRIX//NEVANLINNA DOMAIN//POLYNOMIAL APPROXIMATION IN 2 SPACE
3 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
4 15815 JOURNAL OF APPROXIMATION THEORY//POLYA ALGORITHM//CHEBYSHEV SUBSPACE
5 31424 SPECTRAL SYNTHESIS//FLETTS MEAN VALUE THEOREM//EXPONENTIAL MONOMIAL
6 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
7 24807 FINELY SUPERHARMONIC FUNCTION//PWB SOLUTION//HOMOGENEOUS RANDOM MEASURE
8 27593 APPORTIONMENT METHODS//DIVISOR METHODS//ROUNDING METHODS
9 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
10 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE

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