Class information for:
Level 1: BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20075 477 16.2 20%


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
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2288 2             MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS 4575
20075 1                   BAND DOMINATED OPERATORS//FREDHOLMNESS//LIMIT OPERATORS 477

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 BAND DOMINATED OPERATORS authKW 772743 3% 93% 13
2 FREDHOLMNESS authKW 595461 4% 47% 20
3 LIMIT OPERATORS authKW 528620 3% 52% 16
4 FINITE SECTIONS METHOD authKW 320072 1% 100% 5
5 PIECEWISE SLOWLY OSCILLATING FUNCTION authKW 320072 1% 100% 5
6 KERZMAN STEIN OPERATOR authKW 266725 1% 83% 5
7 LOCAL TRAJECTORY METHOD authKW 266725 1% 83% 5
8 FINITE SECTIONS authKW 261386 1% 58% 7
9 MELLIN PSEUDODIFFERENTIAL OPERATOR authKW 256058 1% 100% 4
10 ORIENTATION PRESERVING NON CARLEMAN SHIFT authKW 192043 1% 100% 3

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 16760 80% 0% 381
2 Multidisciplinary Sciences 2503 12% 0% 59
3 Mathematics, Applied 1150 20% 0% 97
4 Physics, Mathematical 8 2% 0% 9
5 Mechanics 1 2% 0% 8
6 Engineering, General 1 1% 0% 4
7 Acoustics -0 0% 0% 1
8 Physics, Fluids & Plasmas -1 0% 0% 1
9 Engineering, Civil -2 0% 0% 1
10 Geochemistry & Geophysics -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 ESIME ZACATENCO 93303 2% 13% 11
2 ANAL FUNC ESTRUT LINEA LICACOES 64014 0% 100% 1
3 CEAF SUPER TECN 64014 0% 100% 1
4 NAT POLIT 64014 0% 100% 1
5 VLADIMIR STATE PEDAGOG UNIV 64014 0% 100% 1
6 ZACATENCO SEPI 64014 0% 100% 1
7 MATEMAT FHUC UNL 51209 0% 40% 2
8 HYDROACOUST 44313 1% 23% 3
9 ANAL FUNC ESTRUTURAS LINEA LICACOES CE 32006 0% 50% 1
10 MATH LICACOES 32006 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 INTEGRAL EQUATIONS AND OPERATOR THEORY 144505 15% 3% 71
2 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 43180 5% 3% 24
3 DIFFERENTIAL EQUATIONS 12481 6% 1% 27
4 MATHEMATICS OF THE USSR-IZVESTIYA 8328 2% 2% 8
5 DOKLADY AKADEMII NAUK SSSR 7688 11% 0% 51
6 MATHEMATICS OF THE USSR-SBORNIK 7422 2% 1% 9
7 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 7233 3% 1% 14
8 OPERATORS AND MATRICES 6618 1% 1% 7
9 MATHEMATISCHE NACHRICHTEN 4068 3% 0% 16
10 COMPLEX ANALYSIS AND OPERATOR THEORY 3760 1% 1% 6

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 BAND DOMINATED OPERATORS 772743 3% 93% 13 Search BAND+DOMINATED+OPERATORS Search BAND+DOMINATED+OPERATORS
2 FREDHOLMNESS 595461 4% 47% 20 Search FREDHOLMNESS Search FREDHOLMNESS
3 LIMIT OPERATORS 528620 3% 52% 16 Search LIMIT+OPERATORS Search LIMIT+OPERATORS
4 FINITE SECTIONS METHOD 320072 1% 100% 5 Search FINITE+SECTIONS+METHOD Search FINITE+SECTIONS+METHOD
5 PIECEWISE SLOWLY OSCILLATING FUNCTION 320072 1% 100% 5 Search PIECEWISE+SLOWLY+OSCILLATING+FUNCTION Search PIECEWISE+SLOWLY+OSCILLATING+FUNCTION
6 KERZMAN STEIN OPERATOR 266725 1% 83% 5 Search KERZMAN+STEIN+OPERATOR Search KERZMAN+STEIN+OPERATOR
7 LOCAL TRAJECTORY METHOD 266725 1% 83% 5 Search LOCAL+TRAJECTORY+METHOD Search LOCAL+TRAJECTORY+METHOD
8 FINITE SECTIONS 261386 1% 58% 7 Search FINITE+SECTIONS Search FINITE+SECTIONS
9 MELLIN PSEUDODIFFERENTIAL OPERATOR 256058 1% 100% 4 Search MELLIN+PSEUDODIFFERENTIAL+OPERATOR Search MELLIN+PSEUDODIFFERENTIAL+OPERATOR
10 ORIENTATION PRESERVING NON CARLEMAN SHIFT 192043 1% 100% 3 Search ORIENTATION+PRESERVING+NON+CARLEMAN+SHIFT Search ORIENTATION+PRESERVING+NON+CARLEMAN+SHIFT

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 KARLOVICH, YI , HERNANDEZ, IL , (2012) ALGEBRAS OF CONVOLUTION TYPE OPERATORS WITH PIECEWISE SLOWLY OSCILLATING DATA. I: LOCAL AND STRUCTURAL STUDY.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 74. ISSUE 3. P. 377 -415 13 100% 2
2 KARLOVICH, Y , LORETO-HERNANDEZ, I , (2015) C*-ALGEBRA OF NONLOCAL CONVOLUTION TYPE OPERATORS WITH PIECEWISE SLOWLY OSCILLATING DATA.JOURNAL OF OPERATOR THEORY. VOL. 73. ISSUE 1. P. 211 -242 11 100% 1
3 SEIDEL, M , SILBERMANN, B , (2012) BANACH ALGEBRAS OF OPERATOR SEQUENCES.OPERATORS AND MATRICES. VOL. 6. ISSUE 3. P. 385 -432 12 92% 6
4 LINDNER, M , SEIDEL, M , (2014) AN AFFIRMATIVE ANSWER TO A CORE ISSUE ON LIMIT OPERATORS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 267. ISSUE 3. P. 901 -917 13 76% 1
5 SEIDEL, M , (2014) FREDHOLM THEORY FOR BAND-DOMINATED AND RELATED OPERATORS: A SURVEY.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 445. ISSUE . P. 373 -394 10 100% 0
6 KARLOVICH, AY , KARLOVICH, YI , LEBRE, AB , (2011) SUFFICIENT CONDITIONS FOR FREDHOLMNESS OF SINGULAR INTEGRAL OPERATORS WITH SHIFTS AND SLOWLY OSCILLATING DATA.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 70. ISSUE 4. P. 451 -483 10 100% 0
7 LINDNER, M , (2010) THE FINITE SECTION METHOD AND STABLE SUBSEQUENCES.APPLIED NUMERICAL MATHEMATICS. VOL. 60. ISSUE 4. P. 501 -512 10 100% 2
8 KARLOVICH, AY , KARLOVICH, YI , LEBRE, AB , (2017) THE INDEX OF WEIGHTED SINGULAR INTEGRAL OPERATORS WITH SHIFTS AND SLOWLY OSCILLATING DATA.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 450. ISSUE 1. P. 606 -630 8 100% 0
9 BASTOS, MA , CARVALHO, CC , KARLOVICH, YI , (2016) INDEX FORMULA FOR CONVOLUTION TYPE OPERATORS WITH DATA FUNCTIONS IN ALG(SO, PC).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 443. ISSUE 1. P. 453 -477 8 100% 0
10 SEIDEL, M , (2015) ON SEMI-FREDHOLM BAND-DOMINATED OPERATORS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 83. ISSUE 1. P. 35 -47 9 90% 0

Classes with closest relation at Level 1


Rank Class id link
1 18495 WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS
2 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
3 18044 MECHANICAL QUADRATURE METHOD//SPLITTING EXTRAPOLATION//HEAT POTENTIALS
4 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
5 37650 SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES
6 37576 CHRISTOFFEL SCHWARZ INTEGRAL//GALAXIES SURROUNDING//GALAXIES UV EXCESS
7 30347 STRONG SZEGO LIMIT THEOREM//SINGULAR SYMBOL//STRONG SZEGO WIDOM LIMIT THEOREM
8 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
9 30626 BOUNDARY TRANSMISSION PROBLEMS//PSEUDODIFFERENTIAL EQUATIONS//ANISOTROPIC WEIGHTED BESSEL POTENTIAL SPACES
10 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL

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