Class information for:
Level 1: DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8411 1255 17.4 38%


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
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1797 2             MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS 6311
8411 1                   DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE 1255

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 DUNKL TRANSFORM authKW 1227380 5% 86% 59
2 DUNKL OPERATORS authKW 1224454 6% 64% 79
3 UNCERTAINTY PRINCIPLE authKW 595894 9% 22% 112
4 PALEY WIENER THEOREM authKW 499024 3% 51% 40
5 HARDYS THEOREM authKW 351554 1% 85% 17
6 LAGUERRE HYPERGROUP authKW 322002 1% 88% 15
7 HANKEL TRANSFORMATION authKW 280346 2% 52% 22
8 H HARMONICS authKW 245319 1% 92% 11
9 DUNKL KERNEL authKW 221174 1% 91% 10
10 MIYACHIS THEOREM authKW 218964 1% 100% 9

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 46518 82% 0% 1029
2 Mathematics, Applied 12060 39% 0% 491
3 Physics, Mathematical 529 6% 0% 80
4 Statistics & Probability 44 2% 0% 25
5 Multidisciplinary Sciences 0 0% 0% 4
6 Mathematics, Interdisciplinary Applications -0 0% 0% 6
7 Physics, Multidisciplinary -0 2% 0% 22
8 Computer Science, Software Engineering -2 0% 0% 3
9 Engineering, General -5 0% 0% 1
10 Computer Science, Theory & Methods -6 0% 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 ANAL MATH PLICAT LR11ES11 162189 1% 67% 10
2 PREPARATORY ENGINEER STUDIES TUNIS 77852 0% 80% 4
3 ANAL MATH PLICAT 43790 0% 60% 3
4 M MO FEDERAT DENIS POISSON 40542 0% 33% 5
5 CIENCIAS TECNOL FCTUC 32438 0% 67% 2
6 ISSAT MATEUR 32438 0% 67% 2
7 PREPARATORY ENGN STUDIES TUNIS 31277 0% 43% 3
8 STAT MATH UNIT 26843 2% 5% 22
9 FEDERAT DENIS POISSON FR 2964 25945 0% 27% 4
10 ANAL MATHEMAT PLICAT LR11ES11 24329 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 TRANSFORMS AND SPECIAL FUNCTIONS 211002 8% 8% 104
2 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 18972 1% 7% 11
3 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 15079 2% 3% 23
4 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 11670 2% 2% 24
5 JOURNAL OF LIE THEORY 11611 2% 3% 19
6 MEDITERRANEAN JOURNAL OF MATHEMATICS 9657 2% 2% 19
7 JOURNAL OF FUNCTIONAL ANALYSIS 9306 4% 1% 50
8 PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 7674 2% 2% 19
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 7132 6% 0% 79
10 APPLICABLE ANALYSIS 5966 2% 1% 19

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 DUNKL TRANSFORM 1227380 5% 86% 59 Search DUNKL+TRANSFORM Search DUNKL+TRANSFORM
2 DUNKL OPERATORS 1224454 6% 64% 79 Search DUNKL+OPERATORS Search DUNKL+OPERATORS
3 UNCERTAINTY PRINCIPLE 595894 9% 22% 112 Search UNCERTAINTY+PRINCIPLE Search UNCERTAINTY+PRINCIPLE
4 PALEY WIENER THEOREM 499024 3% 51% 40 Search PALEY+WIENER+THEOREM Search PALEY+WIENER+THEOREM
5 HARDYS THEOREM 351554 1% 85% 17 Search HARDYS+THEOREM Search HARDYS+THEOREM
6 LAGUERRE HYPERGROUP 322002 1% 88% 15 Search LAGUERRE+HYPERGROUP Search LAGUERRE+HYPERGROUP
7 HANKEL TRANSFORMATION 280346 2% 52% 22 Search HANKEL+TRANSFORMATION Search HANKEL+TRANSFORMATION
8 H HARMONICS 245319 1% 92% 11 Search H+HARMONICS Search H+HARMONICS
9 DUNKL KERNEL 221174 1% 91% 10 Search DUNKL+KERNEL Search DUNKL+KERNEL
10 MIYACHIS THEOREM 218964 1% 100% 9 Search MIYACHIS+THEOREM Search MIYACHIS+THEOREM

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 GHOBBER, S , JAMING, P , (2014) UNCERTAINTY PRINCIPLES FOR INTEGRAL OPERATORS.STUDIA MATHEMATICA. VOL. 220. ISSUE 3. P. 197 -220 29 85% 11
2 ANDERSEN, NB , DE JEU, M , (2010) REAL PALEY-WIENER THEOREMS AND LOCAL SPECTRAL RADIUS FORMULAS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 7. P. 3613-3640 31 78% 10
3 MEJJAOLI, H , TRIMECHE, K , (2016) QUALITATIVE UNCERTAINTY PRINCIPLES FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED TO A DUNKL TYPE OPERATOR ON THE REAL LINE.ANALYSIS AND MATHEMATICAL PHYSICS. VOL. 6. ISSUE 2. P. 141 -162 20 100% 0
4 BEN SAID, S , BOUSSEN, A , SIFI, M , (2016) INTERTWINING OPERATORS ASSOCIATED TO A FAMILY OF DIFFERENTIAL-REFLECTION OPERATORS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 6. P. 4129 -4151 20 100% 0
5 MEJJAOLI, H , (2016) PALEY-WIENER THEOREMS OF GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH A CHEREDNIK TYPE OPERATOR ON THE REAL LINE.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 10. ISSUE 6. P. 1145 -1170 19 95% 1
6 MEJJAOLI, H , (2016) ON THE RANGE OF THE OPDAM-CHEREDNIK TRANSFORM AND ROE'S THEOREM IN THE CHEREDNIK SETTING.JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. VOL. 7. ISSUE 1. P. 19 -45 20 95% 0
7 GHOBBER, S , (2013) UNCERTAINTY PRINCIPLES INVOLVING L (1)-NORMS FOR THE DUNKL TRANSFORM.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 24. ISSUE 6. P. 491-501 20 91% 3
8 MEJJAOLI, H , (2016) UNCERTAINTY PRINCIPLES FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED TO A DUNKL-TYPE OPERATOR.APPLICABLE ANALYSIS. VOL. 95. ISSUE 9. P. 1930 -1956 16 100% 1
9 DE JEU, M , (2006) PALEY-WIENER THEOREMS FOR THE DUNKL TRANSFORM.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 358. ISSUE 10. P. 4225-4250 22 96% 21
10 BANG, HH , HUY, VN , (2016) PALEY-WIENER THEOREM FOR FUNCTIONS IN L-P(R-N).INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 9. P. 715 -730 18 95% 0

Classes with closest relation at Level 1


Rank Class id link
1 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
2 25823 HYPERGROUPS//POLYNOMIAL HYPERGROUPS//ISOTROPIC RANDOM WALKS
3 7969 CALOGERO SUTHERLAND MODEL//CALOGERO MOSER SYSTEM//HALDANE SHASTRY SPIN CHAIN
4 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
5 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
6 32546 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP
7 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
8 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
9 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
10 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES

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