Class information for:
Level 1: KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12972 868 21.9 28%


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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
1949 2             STURM LIOUVILLE OPERATOR//STURM LIOUVILLE PROBLEM//INVERSE SPECTRAL PROBLEM 5724
12972 1                   KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH 868

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 KREIN SPACE authKW 617515 6% 33% 53
2 DEFINITIZABLE OPERATOR authKW 507954 2% 76% 19
3 ANAL TECH MATH address 489690 3% 61% 23
4 GENERALIZED NEVANLINNA FUNCTION authKW 453527 2% 68% 19
5 PONTRYAGIN SPACE authKW 436543 3% 56% 22
6 BOUNDARY TRIPLET authKW 362877 2% 74% 14
7 WEYL FUNCTION authKW 351735 3% 33% 30
8 INDEFINITE STURM LIOUVILLE PROBLEM authKW 337699 1% 80% 12
9 FRIEDRICHS EXTENSION authKW 335204 2% 53% 18
10 SELF ADJOINT EXTENSION authKW 305919 4% 24% 36

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 31194 81% 0% 701
2 Mathematics, Applied 4469 29% 0% 252
3 Physics, Mathematical 762 9% 0% 77
4 Multidisciplinary Sciences 46 1% 0% 13
5 Physics, Multidisciplinary 5 3% 0% 26
6 Mechanics 4 2% 0% 16
7 Physics, Nuclear 1 1% 0% 10
8 Integrative & Complementary Medicine -0 0% 0% 1
9 Physics, Fluids & Plasmas -0 0% 0% 4
10 Physics, Particles & Fields -0 1% 0% 7

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 ANAL TECH MATH 489690 3% 61% 23
2 FB MATH 08 109926 1% 63% 5
3 MATH MA 6 4 105533 0% 100% 3
4 ANAL SCI COMP 67883 3% 6% 30
5 99 AV JB CLEMENT 35178 0% 100% 1
6 ANAL TECH MATHEMAT 35178 0% 100% 1
7 ANALYSIS SCI COMPUTING 35178 0% 100% 1
8 ANGEVANDTE MATH HCM 35178 0% 100% 1
9 HBEREICH MATH MA 6 4 35178 0% 100% 1
10 HIGHER MATH INFORMAT 35178 0% 100% 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 163852 12% 5% 102
2 MATHEMATISCHE NACHRICHTEN 72703 10% 2% 91
3 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 17064 3% 2% 29
4 OPERATORS AND MATRICES 16704 2% 3% 15
5 JOURNAL OF OPERATOR THEORY 10979 2% 2% 20
6 PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 9882 3% 1% 27
7 JOURNAL OF FUNCTIONAL ANALYSIS 9063 5% 1% 41
8 COMPLEX ANALYSIS AND OPERATOR THEORY 6945 1% 2% 11
9 MATHEMATICAL NOTES 6313 3% 1% 30
10 JOURNAL OF SPECTRAL THEORY 5776 1% 3% 5

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 KREIN SPACE 617515 6% 33% 53 Search KREIN+SPACE Search KREIN+SPACE
2 DEFINITIZABLE OPERATOR 507954 2% 76% 19 Search DEFINITIZABLE+OPERATOR Search DEFINITIZABLE+OPERATOR
3 GENERALIZED NEVANLINNA FUNCTION 453527 2% 68% 19 Search GENERALIZED+NEVANLINNA+FUNCTION Search GENERALIZED+NEVANLINNA+FUNCTION
4 PONTRYAGIN SPACE 436543 3% 56% 22 Search PONTRYAGIN+SPACE Search PONTRYAGIN+SPACE
5 BOUNDARY TRIPLET 362877 2% 74% 14 Search BOUNDARY+TRIPLET Search BOUNDARY+TRIPLET
6 WEYL FUNCTION 351735 3% 33% 30 Search WEYL+FUNCTION Search WEYL+FUNCTION
7 INDEFINITE STURM LIOUVILLE PROBLEM 337699 1% 80% 12 Search INDEFINITE+STURM+LIOUVILLE+PROBLEM Search INDEFINITE+STURM+LIOUVILLE+PROBLEM
8 FRIEDRICHS EXTENSION 335204 2% 53% 18 Search FRIEDRICHS+EXTENSION Search FRIEDRICHS+EXTENSION
9 SELF ADJOINT EXTENSION 305919 4% 24% 36 Search SELF+ADJOINT+EXTENSION Search SELF+ADJOINT+EXTENSION
10 KREINS FORMULA 270592 1% 77% 10 Search KREINS+FORMULA Search KREINS+FORMULA

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 GESZTESY, F , MITREA, M , (2011) A DESCRIPTION OF ALL SELF-ADJOINT EXTENSIONS OF THE LAPLACIAN AND KREAN-TYPE RESOLVENT FORMULAS ON NON-SMOOTH DOMAINS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 113. ISSUE . P. 53 -172 39 67% 21
2 BEHRNDT, J , GESZTESY, F , HOLDEN, H , NICHOLS, R , (2016) DIRICHLET-TO-NEUMANN MAPS, ABSTRACT WEYL-TITCHMARSH M-FUNCTIONS, AND A GENERALIZED INDEX OF UNBOUNDED MEROMORPHIC OPERATOR-VALUED FUNCTIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 261. ISSUE 6. P. 3551 -3587 26 87% 0
3 BEHRNDT, J , PHILIPP, F , TRUNK, C , (2013) BOUNDS ON THE NON-REAL SPECTRUM OF DIFFERENTIAL OPERATORS WITH INDEFINITE WEIGHTS.MATHEMATISCHE ANNALEN. VOL. 357. ISSUE 1. P. 185-213 25 89% 7
4 BEHRNDT, J , (2010) ELLIPTIC BOUNDARY VALUE PROBLEMS WITH LAMBDA-DEPENDENT BOUNDARY CONDITIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 249. ISSUE 11. P. 2663 -2687 26 90% 4
5 BEHRNDT, J , LUGER, A , TRUNK, C , (2013) ON THE NEGATIVE SQUARES OF A CLASS OF SELF-ADJOINT EXTENSIONS IN KREIN SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 286. ISSUE 2-3. P. 118-148 21 100% 0
6 BEHRNDT, J , (2013) SPECTRAL THEORY OF ELLIPTIC DIFFERENTIAL OPERATORS WITH INDEFINITE WEIGHTS.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 143. ISSUE 1. P. 21-38 20 100% 3
7 BEHRNDT, J , MICHELER, T , (2014) ELLIPTIC DIFFERENTIAL OPERATORS ON LIPSCHITZ DOMAINS AND ABSTRACT BOUNDARY VALUE PROBLEMS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 267. ISSUE 10. P. 3657 -3709 25 71% 4
8 BEHRNDT, J , (2009) BOUNDARY VALUE PROBLEMS WITH EIGENVALUE DEPENDING BOUNDARY CONDITIONS.MATHEMATISCHE NACHRICHTEN. VOL. 282. ISSUE 5. P. 659-689 20 100% 4
9 BEHRNDT, J , MOWS, R , TRUNK, C , (2014) ON FINITE RANK PERTURBATIONS OF SELFADJOINT OPERATORS IN KREIN SPACES AND EIGENVALUES IN SPECTRAL GAPS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 8. ISSUE 4. P. 925 -936 18 95% 1
10 PYATKOV, SG , (2014) EXISTENCE OF MAXIMAL SEMIDEFINITE INVARIANT SUBSPACES AND SEMIGROUP PROPERTIES OF SOME CLASSES OF ORDINARY DIFFERENTIAL OPERATORS.OPERATORS AND MATRICES. VOL. 8. ISSUE 1. P. 237-254 18 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
2 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
3 8907 CONJOINED BASIS//LIMIT POINT CASE//TRANSMISSION CONDITIONS
4 7203 DOPPLER//TRAPPED MODES//POINT INTERACTIONS
5 25628 MULTIPARAMETER EIGENVALUE PROBLEM//TWO PARAMETER//NONLINEAR STURM LIOUVILLE
6 29560 PARTIAL INTEGRAL OPERATORS//COMPONENTWISE EXPONENTIAL ASYMPTOTIC STABILITY//DIFFERENTIAL DIFFERENCE EQUAT
7 25217 INFINITE DIMENSIONAL HAMILTONIAN OPERATOR//SYMPLECTIC ELASTICITY//SYMPLECTIC ORTHOGONALITY
8 31147 PHASE TRANSITIONS OF FIRST KIND//FERMATS PRINCIPLE IN OPTICS//KINETIC BOUNDARY LAYERS
9 16950 TRANSPORT OPERATOR//FREDHOLM PERTURBATION//ANOMALOUS DIFFUSION LIMIT
10 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY

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