Class information for:
Level 1: CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17665 587 15.2 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
1108 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY 9756
17665 1                   CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN 587

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 CORONA THEOREM authKW 812765 4% 63% 25
2 BOUNDED ANALYTIC FUNCTIONS authKW 702218 5% 50% 27
3 FAK ALLGEMEINWISSEN address 549437 2% 81% 13
4 TOPOLOGICAL STABLE RANK authKW 509769 2% 70% 14
5 BASS STABLE RANK authKW 485493 2% 67% 14
6 MAXIMAL IDEAL SPACE authKW 436689 3% 44% 19
7 CARLESON NEWMAN BLASCHKE PRODUCT authKW 364127 1% 100% 7
8 BOURGAIN ALGEBRAS authKW 312109 1% 100% 6
9 DOUGLAS ALGEBRAS authKW 302647 1% 73% 8
10 INTERPOLATING BLASCHKE PRODUCT authKW 283207 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 29852 96% 0% 562
2 Mathematics, Applied 1458 21% 0% 121
3 Automation & Control Systems 8 1% 0% 7
4 Logic 2 0% 0% 1
5 Multidisciplinary Sciences 1 1% 0% 3
6 Physics, Mathematical -0 1% 0% 4
7 Operations Research & Management Science -1 0% 0% 1
8 Mathematics, Interdisciplinary Applications -1 0% 0% 1
9 Engineering, General -2 0% 0% 1
10 Statistics & Probability -2 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 FAK ALLGEMEINWISSEN 549437 2% 81% 13
2 UMR 7122 211805 5% 15% 27
3 FAK ANGEW MATH PHYS ALLGEMEINWISSEN 93630 1% 60% 3
4 ECOLE CENT LYONCNRSUMR 5208 52018 0% 100% 1
5 ECOLE CENT LYONUMR 5208 CAMILLE JORDAN 52018 0% 100% 1
6 UMR ILE SAULCY 7502 52018 0% 100% 1
7 UNIT BMI 28693 1% 14% 4
8 LMAM 28564 5% 2% 28
9 KAFER EL SHEIKH BRANCH 26008 0% 50% 1
10 URA GEOMETRIE ANAL TOPOL 26008 0% 50% 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 MICHIGAN MATHEMATICAL JOURNAL 18959 4% 2% 23
2 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 12689 11% 0% 64
3 JOURNAL OF FUNCTIONAL ANALYSIS 11540 6% 1% 38
4 INTEGRAL EQUATIONS AND OPERATOR THEORY 10241 4% 1% 21
5 ARKIV FOR MATEMATIK 9898 2% 2% 12
6 COMPLEX ANALYSIS AND OPERATOR THEORY 8494 2% 2% 10
7 STUDIA MATHEMATICA 7817 4% 1% 21
8 PACIFIC JOURNAL OF MATHEMATICS 5993 4% 1% 23
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 5573 3% 1% 16
10 COMPUTATIONAL METHODS AND FUNCTION THEORY 5198 0% 5% 2

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 CORONA THEOREM 812765 4% 63% 25 Search CORONA+THEOREM Search CORONA+THEOREM
2 BOUNDED ANALYTIC FUNCTIONS 702218 5% 50% 27 Search BOUNDED+ANALYTIC+FUNCTIONS Search BOUNDED+ANALYTIC+FUNCTIONS
3 TOPOLOGICAL STABLE RANK 509769 2% 70% 14 Search TOPOLOGICAL+STABLE+RANK Search TOPOLOGICAL+STABLE+RANK
4 BASS STABLE RANK 485493 2% 67% 14 Search BASS+STABLE+RANK Search BASS+STABLE+RANK
5 MAXIMAL IDEAL SPACE 436689 3% 44% 19 Search MAXIMAL+IDEAL+SPACE Search MAXIMAL+IDEAL+SPACE
6 CARLESON NEWMAN BLASCHKE PRODUCT 364127 1% 100% 7 Search CARLESON+NEWMAN+BLASCHKE+PRODUCT Search CARLESON+NEWMAN+BLASCHKE+PRODUCT
7 BOURGAIN ALGEBRAS 312109 1% 100% 6 Search BOURGAIN+ALGEBRAS Search BOURGAIN+ALGEBRAS
8 DOUGLAS ALGEBRAS 302647 1% 73% 8 Search DOUGLAS+ALGEBRAS Search DOUGLAS+ALGEBRAS
9 INTERPOLATING BLASCHKE PRODUCT 283207 1% 78% 7 Search INTERPOLATING+BLASCHKE+PRODUCT Search INTERPOLATING+BLASCHKE+PRODUCT
10 GLEASON PART 273770 2% 53% 10 Search GLEASON+PART Search GLEASON+PART

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 MORTINI, R , (2012) THE COVERING DIMENSION OF A DISTINGUISHED SUBSET OF THE SPECTRUM M(H-INFINITY) OF H-INFINITY AND THE ALGEBRA OF REAL-SYMMETRIC AND CONTINUOUS FUNCTIONS ON M(H-INFINITY).TOPOLOGY AND ITS APPLICATIONS. VOL. 159. ISSUE 3. P. 900-910 23 96% 1
2 MORTINI, R , (2009) INTERPOLATION PROBLEMS ON THE SPECTRUM OF H (A).MONATSHEFTE FUR MATHEMATIK. VOL. 158. ISSUE 1. P. 81 -95 21 100% 1
3 MORTINI, R , WICK, BD , (2010) SPECTRAL CHARACTERISTICS AND STABLE RANKS FOR THE SARASON ALGEBRA H-INFINITY + C.MICHIGAN MATHEMATICAL JOURNAL. VOL. 59. ISSUE 2. P. 395-409 20 95% 1
4 MORTINI, R , RUPP, R , (2011) THE BASS STABLE RANK FOR THE REAL BANACH ALGEBRA A(K)(SYM).JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 261. ISSUE 8. P. 2214 -2237 18 100% 0
5 IZUCHI, K , IZUCHI, Y , (2013) SEQUENTIAL PROPERTIES OF THE MAXIMAL IDEAL SPACE OF H-INFINITY.HOUSTON JOURNAL OF MATHEMATICS. VOL. 39. ISSUE 4. P. 1211-1232 16 100% 0
6 BRUDNYI, A , KINZEBULATOV, D , (2015) TOWARDS OKA-CARTAN THEORY FOR ALGEBRAS OF HOLOMORPHIC FUNCTIONS ON COVERINGS OF STEIN MANIFOLDS. II.REVISTA MATEMATICA IBEROAMERICANA. VOL. 31. ISSUE 4. P. 1167 -1230 18 82% 1
7 MORTINI, R , RUPP, R , (2016) REDUCIBILITY OF INVERTIBLE TUPLES TO THE PRINCIPAL COMPONENT IN COMMUTATIVE BANACH ALGEBRAS.ARKIV FOR MATEMATIK. VOL. 54. ISSUE 2. P. 499 -524 16 89% 0
8 IZUCHI, KJ , IZUCHI, Y , (2013) NON-ANALYTIC SETS AND QC-LEVEL SETS IN THE MAXIMAL IDEAL SPACE OF H-INFINITY.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 58. ISSUE 3. P. 317-332 15 100% 0
9 MORTINI, R , RUPP, R , (2012) A NOTE ON SOME UNIFORM ALGEBRA GENERATED BY SMOOTH FUNCTIONS IN THE PLANE.JOURNAL OF FUNCTION SPACES AND APPLICATIONS. VOL. . ISSUE . P. - 16 94% 0
10 MORTINI, R , RUPP, R , (2011) APPROXIMATION BY INVERTIBLE ELEMENTS AND THE GENERALIZED E-STABLE RANK FOR A(D)(R) AND C(D)(SYM).MATHEMATICA SCANDINAVICA. VOL. 109. ISSUE 1. P. 114-132 17 89% 0

Classes with closest relation at Level 1


Rank Class id link
1 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
2 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
3 27993 NONLINEAR RIEMANN HILBERT PROBLEMS//TOPOLOGICAL DEGREE THEORY OF MAPPINGS//ANALYTIC MULTIFUNCTIONS
4 14828 TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE
5 1527 COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE
6 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION
7 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
8 6045 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
9 18693 CARLEMAN MATRIX//NEVANLINNA DOMAIN//POLYNOMIAL APPROXIMATION IN 2 SPACE
10 24310 SIMULTANEOUS STABILIZATION//STRONG STABILIZATION//PARITY INTERLACING PROPERTY

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