Class information for:
Level 1: MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
31353 154 11.7 15%


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
31353 1                   MAGNITOGORSK STATE PEDAG//RIESZ PROPERTY//SINE TYPE FUNCTION 154

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 MAGNITOGORSK STATE PEDAG address 396565 1% 100% 2
2 RIESZ PROPERTY authKW 396565 1% 100% 2
3 SINE TYPE FUNCTION authKW 264371 3% 33% 4
4 ALMOST LIOUVILLE METRIC authKW 198283 1% 100% 1
5 APPROXIMATE METHODS FOR PROBLEMS CONCERNING HYDRODYNAMIC STABILITY OF VISCOUS FLOWS authKW 198283 1% 100% 1
6 BACKWARD OPERATOR WEIGHTED SHIFTS WITH MULTIPLICITY 2 authKW 198283 1% 100% 1
7 BASES OF EXPONENTIALS authKW 198283 1% 100% 1
8 BASIS OF EXPONENTIALS authKW 198283 1% 100% 1
9 BUNDLE OF HALF DENSITIES authKW 198283 1% 100% 1
10 COMPLETE MINIMAL SYSTEM OF FUNCTIONS authKW 198283 1% 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 5869 83% 0% 128
2 Multidisciplinary Sciences 986 14% 0% 21
3 Mathematics, Applied 71 10% 0% 15
4 Physics, Mathematical 13 3% 0% 5
5 Mechanics 3 3% 0% 4
6 Physics, Particles & Fields -0 1% 0% 1
7 Physics, Multidisciplinary -0 1% 0% 2

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 MAGNITOGORSK STATE PEDAG 396565 1% 100% 2
2 ANAL DYNAM MODELLING 19826 1% 10% 1
3 CHEBYSHEV 6775 1% 2% 2
4 ANGEW ANAL 4217 1% 2% 1
5 MECH MATH 3994 5% 0% 8
6 GRP MATH PHYS 3539 1% 2% 1
7 MATH 253 37 2714 1% 1% 1
8 DORODNICYN COMP 1277 1% 0% 2
9 PL ANAL 614 1% 0% 1
10 MATH MECH 501 2% 0% 3

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 DIFFERENTIAL EQUATIONS 44733 19% 1% 29
2 MATHEMATICAL NOTES 26929 17% 1% 26
3 DOKLADY MATHEMATICS 23408 12% 1% 19
4 VESTNIK LENINGRADSKOGO UNIVERSITETA SERIYA MATEMATIKA MEKHANIKA ASTRONOMIYA 23392 4% 2% 6
5 RUSSIAN MATHEMATICAL SURVEYS 3947 5% 0% 7
6 VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA 3063 3% 0% 4
7 SIBERIAN MATHEMATICAL JOURNAL 2359 4% 0% 6
8 SBORNIK MATHEMATICS 2045 3% 0% 4
9 IZVESTIYA MATHEMATICS 1988 2% 0% 3
10 MATHEMATICS OF THE USSR-IZVESTIYA 1611 1% 0% 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 RIESZ PROPERTY 396565 1% 100% 2 Search RIESZ+PROPERTY Search RIESZ+PROPERTY
2 SINE TYPE FUNCTION 264371 3% 33% 4 Search SINE+TYPE+FUNCTION Search SINE+TYPE+FUNCTION
3 ALMOST LIOUVILLE METRIC 198283 1% 100% 1 Search ALMOST+LIOUVILLE+METRIC Search ALMOST+LIOUVILLE+METRIC
4 APPROXIMATE METHODS FOR PROBLEMS CONCERNING HYDRODYNAMIC STABILITY OF VISCOUS FLOWS 198283 1% 100% 1 Search APPROXIMATE+METHODS+FOR+PROBLEMS+CONCERNING+HYDRODYNAMIC+STABILITY+OF+VISCOUS+FLOWS Search APPROXIMATE+METHODS+FOR+PROBLEMS+CONCERNING+HYDRODYNAMIC+STABILITY+OF+VISCOUS+FLOWS
5 BACKWARD OPERATOR WEIGHTED SHIFTS WITH MULTIPLICITY 2 198283 1% 100% 1 Search BACKWARD+OPERATOR+WEIGHTED+SHIFTS+WITH+MULTIPLICITY+2 Search BACKWARD+OPERATOR+WEIGHTED+SHIFTS+WITH+MULTIPLICITY+2
6 BASES OF EXPONENTIALS 198283 1% 100% 1 Search BASES+OF+EXPONENTIALS Search BASES+OF+EXPONENTIALS
7 BASIS OF EXPONENTIALS 198283 1% 100% 1 Search BASIS+OF+EXPONENTIALS Search BASIS+OF+EXPONENTIALS
8 BUNDLE OF HALF DENSITIES 198283 1% 100% 1 Search BUNDLE+OF+HALF+DENSITIES Search BUNDLE+OF+HALF+DENSITIES
9 COMPLETE MINIMAL SYSTEM OF FUNCTIONS 198283 1% 100% 1 Search COMPLETE+MINIMAL+SYSTEM+OF+FUNCTIONS Search COMPLETE+MINIMAL+SYSTEM+OF+FUNCTIONS
10 COMPLETENESS OF A SYSTEM OF FUNCTIONS 198283 1% 100% 1 Search COMPLETENESS+OF+A+SYSTEM+OF+FUNCTIONS Search COMPLETENESS+OF+A+SYSTEM+OF+FUNCTIONS

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 SADOVNICHII, VA , PODOL'SKII, VE , (2006) M-ACES OF OPERATORS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 61. ISSUE 5. P. 885-953 36 54% 18
2 BOIVIN, A , ZHONG, HL , (2007) COMPLETENESS OF SYSTEMS OF COMPLEX EXPONENTIALS AND THE LAMBERT W FUNCTIONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 359. ISSUE 4. P. 1829-1849 8 89% 3
3 PUKHOV, SS , (2014) BASES OF EXPONENTIALS IN WEIGHTED SPACES GENERATED BY ZEROS OF THE FOURIER-STIELTJES TRANSFORM.MATHEMATICAL NOTES. VOL. 95. ISSUE 5-6. P. 820 -832 5 100% 0
4 ZYKOVA, TV , (2013) REGULARIZED TRACE OF THE PERTURBED LAPLACE-BELTRAMI OPERATOR ON TWO-DIMENSIONAL MANIFOLDS WITH CLOSED GEODESICS.MATHEMATICAL NOTES. VOL. 93. ISSUE 3-4. P. 397-411 5 83% 0
5 KERIMOV, MK , (2012) THE THEORY OF REGULARIZED TRACES OF OPERATORS AS APPLIED TO APPROXIMATE COMPUTATION OF EIGENVALUES AND EIGENFUNCTIONS OF FLUID DYNAMICS PROBLEMS.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 52. ISSUE 5. P. 756-786 4 100% 0
6 SEDLETSKII, AM , (2011) BASES OF EXPONENTIALS IN WEIGHTED SPACES GENERATED BY ZEROS OF FUNCTIONS OF SINE TYPE.MATHEMATICAL NOTES. VOL. 89. ISSUE 5-6. P. 853-870 4 100% 1
7 KANGUZHIN, BE , TOKMAGAMBETOV, NE , (2015) A REGULARIZED TRACE FORMULA FOR A WELL-PERTURBED LAPLACE OPERATOR.DOKLADY MATHEMATICS. VOL. 91. ISSUE 1. P. 1 -4 4 80% 6
8 NAZAROV, AI , STOLYAROV, DM , ZATITSKIY, PB , (2014) THE TAMARKIN EQUICONVERGENCE THEOREM AND A FIRST-ORDER TRACE FORMULA FOR REGULAR DIFFERENTIAL OPERATORS REVISITED.JOURNAL OF SPECTRAL THEORY. VOL. 4. ISSUE 2. P. 365 -389 4 80% 3
9 ZIKKOS, E , (2005) ON THE EXCESS OF COMPLEX EXPONENTIAL SYSTEMS IN L-2(-A, A).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 308. ISSUE 1. P. 47 -60 4 100% 0
10 FREITAS, P , KENNEDY, JB , (2016) SUMMATION FORMULA INEQUALITIES FOR EIGENVALUES OF THE PERTURBED HARMONIC OSCILLATOR.OSAKA JOURNAL OF MATHEMATICS. VOL. 53. ISSUE 2. P. 397 -416 3 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 26396 POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA
2 31383 AEROELASTIC MODES//ROOT VECTORS//CONVOLUTION INTEGRAL OPERATOR
3 7223 INVERSE SPECTRAL PROBLEM//INVERSE NODAL PROBLEM//STURM LIOUVILLE OPERATOR
4 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
5 29888 KELVIN VOIGT FLUID//DEGENERATE SEMIGROUP OF OPERATORS//GENERALIZED SHOWALTER SIDOROV PROBLEM
6 13977 HILL OPERATOR//DIFFERENTIAL EQUATIONS//REGULAR BOUNDARY CONDITIONS
7 20434 BETHE SOMMERFELD CONJECTURE//ASYMPTOTIC BEHAVIOR OF VIRTUAL EIGENVALUES//VIRTUAL EIGENVALUES
8 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
9 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
10 26798 EUH PARK SEKIGAWA IDENTITY//PAPPUS FORMULAE//SINGER THORPE BASIS

Go to start page