Class information for:
Level 1: POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
32546 137 14.9 17%



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
244 3       MATHEMATICS, APPLIED//MATHEMATICS//BLOW UP 46988
4006 2             POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS 684
32546 1                   POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP 137

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 POTENTIAL TYPE OPERATORS authKW 1504484 7% 75% 9
2 APPROXIMATIVE INVERSE OPERATORS authKW 713238 3% 80% 4
3 METAHARMONIC SEMIGROUP authKW 668662 2% 100% 3
4 PARABOLIC POTENTIALS authKW 668662 2% 100% 3
5 RIESZ POTENTIAL SPACES authKW 668662 2% 100% 3
6 WAVELET TYPE TRANSFORM authKW 668662 2% 100% 3
7 BESSEL POTENTIALS authKW 496421 5% 32% 7
8 GENERALIZED TRANSLATION OPERATOR authKW 464343 4% 42% 5
9 APPROXIMATING INVERSE OPERATORS authKW 445774 1% 100% 2
10 LIPSCHITZ POINT authKW 445774 1% 100% 2

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 5328 84% 0% 115
2 Multidisciplinary Sciences 813 13% 0% 18
3 Mathematics, Applied 160 15% 0% 20
4 Statistics & Probability 34 4% 0% 6
5 Mechanics -0 1% 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 DIFFERENTIAL INTEGRAL EQUAT 222887 1% 100% 1
2 ROSTOV 222887 1% 100% 1
3 SOUTH FED UNIV 222887 1% 100% 1
4 VOLGA STATE WATER TRANSPORT 222887 1% 100% 1
5 AREA ANAL MATEMAT 111443 1% 50% 1
6 MATH MECH 4040 6% 0% 8
7 MATEMAT COMP 1184 1% 1% 1
8 SCI GABES 893 1% 0% 1
9 MATH EDUC 811 2% 0% 3
10 CINVESTAV 712 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 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 31595 8% 1% 11
2 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 11433 6% 1% 8
3 DOKLADY AKADEMII NAUK 6368 12% 0% 16
4 DIFFERENTIAL EQUATIONS 5967 7% 0% 10
5 DOKLADY MATHEMATICS 5896 7% 0% 9
6 SIBERIAN MATHEMATICAL JOURNAL 4722 6% 0% 8
7 MATHEMATISCHE NACHRICHTEN 2718 5% 0% 7
8 DOKLADY AKADEMII NAUK SSSR 1736 9% 0% 13
9 MATHEMATICS OF THE USSR-SBORNIK 1275 1% 0% 2
10 MATHEMATICAL NOTES 1112 4% 0% 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 POTENTIAL TYPE OPERATORS 1504484 7% 75% 9 Search POTENTIAL+TYPE+OPERATORS Search POTENTIAL+TYPE+OPERATORS
2 APPROXIMATIVE INVERSE OPERATORS 713238 3% 80% 4 Search APPROXIMATIVE+INVERSE+OPERATORS Search APPROXIMATIVE+INVERSE+OPERATORS
3 METAHARMONIC SEMIGROUP 668662 2% 100% 3 Search METAHARMONIC+SEMIGROUP Search METAHARMONIC+SEMIGROUP
4 PARABOLIC POTENTIALS 668662 2% 100% 3 Search PARABOLIC+POTENTIALS Search PARABOLIC+POTENTIALS
5 RIESZ POTENTIAL SPACES 668662 2% 100% 3 Search RIESZ+POTENTIAL+SPACES Search RIESZ+POTENTIAL+SPACES
6 WAVELET TYPE TRANSFORM 668662 2% 100% 3 Search WAVELET+TYPE+TRANSFORM Search WAVELET+TYPE+TRANSFORM
7 BESSEL POTENTIALS 496421 5% 32% 7 Search BESSEL+POTENTIALS Search BESSEL+POTENTIALS
8 GENERALIZED TRANSLATION OPERATOR 464343 4% 42% 5 Search GENERALIZED+TRANSLATION+OPERATOR Search GENERALIZED+TRANSLATION+OPERATOR
9 APPROXIMATING INVERSE OPERATORS 445774 1% 100% 2 Search APPROXIMATING+INVERSE+OPERATORS Search APPROXIMATING+INVERSE+OPERATORS
10 LIPSCHITZ POINT 445774 1% 100% 2 Search LIPSCHITZ+POINT Search LIPSCHITZ+POINT

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 SHISHKINA, EL , (2016) ON THE BOUNDEDNESS OF HYPERBOLIC RIESZ B-POTENTIAL.LITHUANIAN MATHEMATICAL JOURNAL. VOL. 56. ISSUE 4. P. 540 -551 5 100% 0
2 NOGIN, VA , SAMKO, SG , (1999) METHOD OF APPROXIMATING INVERSE OPERATORS AND ITS APPLICATIONS TO THE INVERSION OF POTENTIAL-TYPE INTEGRAL TRANSFORMS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 8. ISSUE 1-2. P. 89-104 7 100% 4
3 SEZER, S , ALIEV, IA , (2010) A NEW CHARACTERIZATION OF THE RIESZ POTENTIAL SPACES WITH THE AID OF A COMPOSITE WAVELET TRANSFORM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 372. ISSUE 2. P. 549-558 6 75% 1
4 BAYRAKCI, S , SEZER, S , (2011) ON APPROXIMATION PROPERTIES OF BI-PARAMETRIC PARABOLIC TYPE POTENTIALS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 78. ISSUE 1. P. 127 -139 5 83% 0
5 NOGIN, VA , CHEGOLIN, AP , (2003) COMPLEX POWERS OF THE TELEGRAPH OPERATOR AND CLOSE OPERATORS IN L-P SPACES.DIFFERENTIAL EQUATIONS. VOL. 39. ISSUE 3. P. 435-443 5 100% 0
6 ALIEV, IA , SAGLIK, E , (2016) A NEW WAVELET-LIKE TRANSFORM ASSOCIATED WITH THE RIESZ-BOCHNER INTEGRAL AND RELEVANT REPRODUCING FORMULA.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 6. P. 4711 -4722 5 71% 0
7 KARAPETYANTS, AN , NOGIN, VA , (2006) ESTIMATES FOR TWISTED CONVOLUTION OPERATORS WITH SINGULARITIES OF KERNELS ON A SPHERE AND AT THE ORIGIN.DIFFERENTIAL EQUATIONS. VOL. 42. ISSUE 5. P. 720-731 6 75% 0
8 ALIEV, IA , SAGLIK, E , (2016) GENERALIZED RIESZ POTENTIAL SPACES AND THEIR CHARACTERIZATION VIA WAVELET-TYPE TRANSFORM.FILOMAT. VOL. 30. ISSUE 10. P. 2809 -2823 5 63% 0
9 NOGIN, VA , SUKHININ, EV , (1998) FUNCTION SPACES CONNECTED WITH KLEIN-GORDON INTEGRAL TRANSFORMS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 7. ISSUE 3-4. P. 247-260 5 100% 0
10 ALIEV, IA , RUBIN, B , (2002) PARABOLIC WAVELET TRANSFORMS AND LEBESGUE SPACES OF PARABOLIC POTENTIALS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 32. ISSUE 2. P. 391-408 5 83% 4

Classes with closest relation at Level 1



Rank Class id link
1 32445 ANISOTROPIC SINGULAR PERTURBATIONS//GENERALIZED INITIAL DATA//SHILOV PARABOLIC SYSTEMS WITH VARIABLE COEFFICIENTS
2 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
3 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
4 24267 GENERALIZED MODULUS OF CONTINUITY//JACKSONS INEQUALITY//JACKSON INEQUALITY
5 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
6 25048 GROWTH PROPERTY//STATIONARY SCHRODINGER OPERATOR//STATIONARY SCHRODINGER EQUATION
7 17462 SHEARLETS//CURVELETS//DIRECTIONAL WAVELETS
8 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
9 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
10 18813 SELFDECOMPOSABLE DISTRIBUTION//SELF DECOMPOSABILITY//STOCHASTIC INTEGRAL MAPPING

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