Class information for:
Level 1: SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10246 1079 18.0 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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
1570 2             PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD 7330
10246 1                   SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS 1079

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 SPACES OF REAL ANALYTIC FUNCTIONS authKW 282981 1% 100% 10
2 ULTRADIFFERENTIABLE FUNCTIONS authKW 227382 1% 54% 15
3 LINEAR TOPOLOGICAL INVARIANTS authKW 226385 1% 100% 8
4 PROJECTIVE DESCRIPTION authKW 226385 1% 100% 8
5 SPACE OF REAL ANALYTIC FUNCTIONS authKW 201229 1% 89% 8
6 TOPOLOGICAL LINEAR INVARIANTS authKW 198087 1% 100% 7
7 FUNCTOR EXT1 authKW 169789 1% 100% 6
8 INTERPOLATING VARIETY authKW 169789 1% 100% 6
9 SPLITTING OF SHORT EXACT SEQUENCES authKW 169789 1% 100% 6
10 FB MATH NAT address 154064 1% 78% 7

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 53576 95% 0% 1021
2 Mathematics, Applied 1269 15% 0% 158
3 Multidisciplinary Sciences 320 3% 0% 34
4 Statistics & Probability 7 1% 0% 13
5 Physics, Mathematical -2 0% 0% 4
6 Mechanics -2 1% 0% 7
7 Automation & Control Systems -3 0% 0% 1
8 Mathematics, Interdisciplinary Applications -4 0% 0% 1
9 Computer Science, Theory & Methods -6 0% 0% 1
10 Physics, Multidisciplinary -14 0% 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 FB MATH NAT 154064 1% 78% 7
2 POZNAN BRANCH 106510 1% 24% 16
3 E POLITECN SUPER ALCOY 90552 0% 80% 4
4 EQUIPE STAT PROBA 84894 0% 100% 3
5 MATEMAT PURA LICADA IUMPA 56596 0% 100% 2
6 IMPA UPV 54413 0% 38% 5
7 ETSI ARQUITECTURA 50934 0% 60% 3
8 FB MATH 4 41660 1% 16% 9
9 UNIV MATEMAT PURA LICADA IUMPA 41156 0% 36% 4
10 COURSE MATH INFORMAT 37729 0% 67% 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 STUDIA MATHEMATICA 80104 8% 3% 91
2 MATHEMATISCHE NACHRICHTEN 30710 6% 2% 66
3 ARCHIV DER MATHEMATIK 27522 6% 1% 70
4 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 15277 2% 2% 25
5 PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES 15239 1% 4% 12
6 MATHEMATICAL NOTES 10447 4% 1% 43
7 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 7755 1% 3% 10
8 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 6475 1% 2% 14
9 MATHEMATICS OF THE USSR-SBORNIK 5823 1% 2% 12
10 MANUSCRIPTA MATHEMATICA 5419 2% 1% 25

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 SPACES OF REAL ANALYTIC FUNCTIONS 282981 1% 100% 10 Search SPACES+OF+REAL+ANALYTIC+FUNCTIONS Search SPACES+OF+REAL+ANALYTIC+FUNCTIONS
2 ULTRADIFFERENTIABLE FUNCTIONS 227382 1% 54% 15 Search ULTRADIFFERENTIABLE+FUNCTIONS Search ULTRADIFFERENTIABLE+FUNCTIONS
3 LINEAR TOPOLOGICAL INVARIANTS 226385 1% 100% 8 Search LINEAR+TOPOLOGICAL+INVARIANTS Search LINEAR+TOPOLOGICAL+INVARIANTS
4 PROJECTIVE DESCRIPTION 226385 1% 100% 8 Search PROJECTIVE+DESCRIPTION Search PROJECTIVE+DESCRIPTION
5 SPACE OF REAL ANALYTIC FUNCTIONS 201229 1% 89% 8 Search SPACE+OF+REAL+ANALYTIC+FUNCTIONS Search SPACE+OF+REAL+ANALYTIC+FUNCTIONS
6 TOPOLOGICAL LINEAR INVARIANTS 198087 1% 100% 7 Search TOPOLOGICAL+LINEAR+INVARIANTS Search TOPOLOGICAL+LINEAR+INVARIANTS
7 FUNCTOR EXT1 169789 1% 100% 6 Search FUNCTOR+EXT1 Search FUNCTOR+EXT1
8 INTERPOLATING VARIETY 169789 1% 100% 6 Search INTERPOLATING+VARIETY Search INTERPOLATING+VARIETY
9 SPLITTING OF SHORT EXACT SEQUENCES 169789 1% 100% 6 Search SPLITTING+OF+SHORT+EXACT+SEQUENCES Search SPLITTING+OF+SHORT+EXACT+SEQUENCES
10 DERIVED PROJECTIVE LIMIT FUNCTOR 145531 1% 86% 6 Search DERIVED+PROJECTIVE+LIMIT+FUNCTOR Search DERIVED+PROJECTIVE+LIMIT+FUNCTOR

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 BONET, J , DOMANSKI, P , (2006) PARAMETER DEPENDENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS ON SPACES OF DISTRIBUTIONS AND THE SPLITTING OF SHORT EXACT SEQUENCES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 230. ISSUE 2. P. 329 -381 36 97% 18
2 DOMANSKI, P , (2010) REAL ANALYTIC PARAMETER DEPENDENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS.REVISTA MATEMATICA IBEROAMERICANA. VOL. 26. ISSUE 1. P. 175-238 33 94% 4
3 LANGENBRUCH, M , (2013) CONVOLUTION OPERATORS ON SPACES OF REAL ANALYTIC FUNCTIONS.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 8-9. P. 908-920 25 100% 0
4 LI, BQ , (2010) ON INTERPOLATION FOR HORMANDER'S ALGEBRAS.SCIENCE CHINA-MATHEMATICS. VOL. 53. ISSUE 3. P. 763 -770 23 96% 0
5 DOMANSKI, P , LANGENBRUCH, M , (2008) VECTOR VALUED HYPERFUNCTIONS AND BOUNDARY VALUES OF VECTOR VALUED HARMONIC AND HOLOMORPHIC FUNCTIONS.PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES. VOL. 44. ISSUE 4. P. 1097-1142 21 91% 2
6 ZIOLO, P , (2011) GEOMETRIC CHARACTERIZATION OF INTERPOLATION IN THE SPACE OF FOURIER-LAPLACE TRANSFORMS OF ULTRADISTRIBUTIONS OF ROUMIEU TYPE.COLLECTANEA MATHEMATICA. VOL. 62. ISSUE 2. P. 161 -172 17 94% 1
7 DOMANSKI, P , LANGENBRUCH, M , (2017) MULTIPLIER PROJECTIONS ON SPACES OF REAL ANALYTIC FUNCTIONS IN SEVERAL VARIABLES.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 62. ISSUE 2. P. 241 -268 14 100% 0
8 BONET, J , MEISE, R , (2008) CHARACTERIZATION OF THE CONVOLUTION OPERATORS ON QUASIANALYTIC CLASSES OF BEURLING TYPE THAT ADMIT A CONTINUOUS LINEAR RIGHT INVERSE.STUDIA MATHEMATICA. VOL. 184. ISSUE 1. P. 49-77 17 100% 1
9 QUANG, TT , LAM, LV , DAI, NV , (2013) ON SIGMA(CENTER DOT, W)-HOLOMORPHIC FUNCTIONS AND THEOREMS OF VITALI-TYPE.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 7. ISSUE 1. P. 237-259 14 100% 2
10 QUANG, TT , LAM, LV , (2016) LEVI EXTENSION THEOREMS FOR MEROMORPHIC FUNCTIONS OF WEAK TYPE IN INFINITE DIMENSION.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 10. ISSUE 7. P. 1619 -1654 13 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE
2 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
3 23844 SUBNORMS//CONVENIENT SETTING//SUBMODULI
4 10686 ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS
5 14786 PLURISUBHARMONIC FUNCTION//COMPLEX MONGE AMPERE OPERATOR//PLURICOMPLEX GREEN FUNCTION
6 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
7 19959 RESOLUTION OF SINGULARITIES//LOCAL UNIFORMIZATION//DESINGULARIZATION INVARIANT
8 16295 K ANALYTIC SPACE//WEAK BARRELLEDNESS//LINDELOF SIGMA SPACE
9 34143 ABELFUNCTION//INFRA LOGARITHM FUNCTIONS//ULTRA EXPONENTIAL FUNCTIONAL EQUATION
10 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP

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