Class information for:
Level 1: JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
22203 390 17.9 41%


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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
22203 1                   JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS 390

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 JACOBI EXPANSION authKW 1257068 4% 94% 17
2 RIESZ TRANSFORM authKW 680645 12% 18% 48
3 FOURIER BESSEL EXPANSIONS authKW 634188 2% 90% 9
4 LAGUERRE EXPANSIONS authKW 607447 4% 52% 15
5 CONJUGATE POISSON INTEGRALS authKW 556763 2% 89% 8
6 HERMITE EXPANSIONS authKW 469758 3% 50% 12
7 LAGUERRE SEMIGROUP authKW 391475 1% 100% 5
8 TWO WEIGHT NORM INEQUALITIES authKW 313180 1% 100% 4
9 DUNKL HARMONIC OSCILLATOR authKW 279622 1% 71% 5
10 HEAT DIFFUSION SEMIGROUP authKW 250542 1% 80% 4

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 17893 91% 0% 355
2 Mathematics, Applied 1817 28% 0% 108
3 Physics, Mathematical 6 2% 0% 7
4 Statistics & Probability -1 0% 0% 1
5 Computer Science, Artificial Intelligence -1 0% 0% 1
6 Physics, Multidisciplinary -6 0% 0% 1
7 Engineering, Electrical & Electronic -10 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 KATEDRA MATEMAT ZASTOSOWAN INFORMAT 234885 1% 100% 3
2 IMAL FIQ 104392 1% 67% 2
3 EDIFICIO JL VIVES 100662 1% 43% 3
4 MATEMAT COMPUTAC 100209 6% 6% 22
5 ICMAT CSIC UAM UCM UC3M 93944 2% 20% 6
6 IMAL 89466 2% 14% 8
7 ANAISIS MATEMA 78295 0% 100% 1
8 ETS I CAMINOS CANALES PUERTOS 78295 0% 100% 1
9 INGN QUIMUNL 78295 0% 100% 1
10 KATEDRA MATEMAT ZASTOSOWAII INFORMAT 78295 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 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 26556 4% 2% 17
2 STUDIA MATHEMATICA 16715 6% 1% 25
3 TOHOKU MATHEMATICAL JOURNAL 12459 4% 1% 14
4 JOURNAL OF FUNCTIONAL ANALYSIS 8133 7% 0% 26
5 REVISTA DE LA UNION MATEMATICA ARGENTINA 7584 1% 2% 4
6 POTENTIAL ANALYSIS 6318 2% 1% 9
7 JOURNAL D ANALYSE MATHEMATIQUE 5384 2% 1% 9
8 CONSTRUCTIVE APPROXIMATION 5025 2% 1% 8
9 JOURNAL OF APPROXIMATION THEORY 2758 3% 0% 11
10 ARKIV FOR MATEMATIK 2583 1% 1% 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 JACOBI EXPANSION 1257068 4% 94% 17 Search JACOBI+EXPANSION Search JACOBI+EXPANSION
2 RIESZ TRANSFORM 680645 12% 18% 48 Search RIESZ+TRANSFORM Search RIESZ+TRANSFORM
3 FOURIER BESSEL EXPANSIONS 634188 2% 90% 9 Search FOURIER+BESSEL+EXPANSIONS Search FOURIER+BESSEL+EXPANSIONS
4 LAGUERRE EXPANSIONS 607447 4% 52% 15 Search LAGUERRE+EXPANSIONS Search LAGUERRE+EXPANSIONS
5 CONJUGATE POISSON INTEGRALS 556763 2% 89% 8 Search CONJUGATE+POISSON+INTEGRALS Search CONJUGATE+POISSON+INTEGRALS
6 HERMITE EXPANSIONS 469758 3% 50% 12 Search HERMITE+EXPANSIONS Search HERMITE+EXPANSIONS
7 LAGUERRE SEMIGROUP 391475 1% 100% 5 Search LAGUERRE+SEMIGROUP Search LAGUERRE+SEMIGROUP
8 TWO WEIGHT NORM INEQUALITIES 313180 1% 100% 4 Search TWO+WEIGHT+NORM+INEQUALITIES Search TWO+WEIGHT+NORM+INEQUALITIES
9 DUNKL HARMONIC OSCILLATOR 279622 1% 71% 5 Search DUNKL+HARMONIC+OSCILLATOR Search DUNKL+HARMONIC+OSCILLATOR
10 HEAT DIFFUSION SEMIGROUP 250542 1% 80% 4 Search HEAT+DIFFUSION+SEMIGROUP Search HEAT+DIFFUSION+SEMIGROUP

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 CASTRO, AJ , NOWAK, A , SZAREK, TZ , (2016) RIESZ-JACOBI TRANSFORMS AS PRINCIPAL VALUE INTEGRALS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 22. ISSUE 3. P. 493 -541 19 100% 1
2 LANGOWSKI, B , (2015) POTENTIAL AND SOBOLEV SPACES RELATED TO SYMMETRIZED JACOBI EXPANSIONS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 11. ISSUE . P. - 19 95% 2
3 NOWAK, A , STEMPAKZ, K , SZAREK, TZ , (2016) ON HARMONIC ANALYSIS OPERATORS IN LAGUERRE-DUNKL AND LAGUERRE-SYMMETRIZED SETTINGS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 12. ISSUE . P. - 26 70% 0
4 BETANCOR, JJ , CASTRO, AJ , FARINA, JC , RODRIGUEZ-MESA, L , (2017) CONICAL SQUARE FUNCTIONS ASSOCIATED WITH BESSEL, LAGUERRE AND SCHRODINGER OPERATORS IN UMD BANACH SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 447. ISSUE 1. P. 32 -75 28 62% 0
5 SZAREK, T , (2011) LITTLEWOOD-PALEY-STEIN TYPE SQUARE FUNCTIONS BASED ON LAGUERRE SEMIGROUPS.ACTA MATHEMATICA HUNGARICA. VOL. 131. ISSUE 1-2. P. 59-109 20 95% 9
6 STEMPAK, K , (2011) TRANSPLANTATION THEOREMS-A SURVEY.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 17. ISSUE 3. P. 408-430 21 91% 1
7 BETANCOR, JJ , FARINA, JC , RODRIGUEZ-MESA, L , SANABRIA-GARCIA, A , (2011) HIGHER ORDER RIESZ TRANSFORMS FOR LAGUERRE EXPANSIONS.ILLINOIS JOURNAL OF MATHEMATICS. VOL. 55. ISSUE 1. P. 27-68 19 100% 2
8 BETANCOR, JJ , FARINA, JC , SANABRIA, A , (2015) VECTOR VALUED MULTIVARIATE SPECTRAL MULTIPLIERS, LITTLEWOOD-PALEY FUNCTIONS, AND SOBOLEV SPACES IN THE HERMITE SETTING.MONATSHEFTE FUR MATHEMATIK. VOL. 176. ISSUE 2. P. 165 -195 26 62% 1
9 NOWAK, A , SJOGREN, P , (2012) CALDERON-ZYGMUND OPERATORS RELATED TO JACOBI EXPANSIONS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 18. ISSUE 4. P. 717 -749 17 94% 13
10 LANGOWSKI, B , (2014) SOBOLEV SPACES ASSOCIATED WITH JACOBI EXPANSIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 420. ISSUE 2. P. 1533 -1551 17 94% 1

Classes with closest relation at Level 1


Rank Class id link
1 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE
2 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
3 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
4 19024 MATH INFORMAT MECH//BELLMAN FUNCTION//WEAK TYPE INEQUALITY
5 14340 MAXIMAL REGULARITY//DIFFERENTIAL OPERATOR EQUATIONS//OPERATOR VALUED FOURIER MULTIPLIERS
6 12467 CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE
7 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
8 18645 MEAN VALUE BOUNDED VARIATION//EMBEDDING RELATIONS//HOLDER METRIC
9 29941 PINSKY PHENOMENON//SPHERICAL PARTIAL SUM//FAK 1
10 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR

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