Class information for:
Level 2: MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1797 6311 20.1 35%


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
1219 1                   DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS 2778
8411 1                   DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE 1255
18491 1                   TECHNOL KYUSHU//UNITARY REPRESENTATIONS OF LOCALLY COMPACT LIE GROUPS//COADJOINT ORBIT 549
18521 1                   BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION 548
19524 1                   INVARIANCE ENTROPY//SEMI SIMPLE LIE GROUPS//INVARIANT CONTROL SETS 501
21755 1                   SEGAL BARGMANN TRANSFORM//ADAPTED COMPLEX STRUCTURES//TAYLOR MAP 407
30279 1                   WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL 171
35117 1                   NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN 102

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 MATHEMATICS WoSSC 284066 90% 1% 5691
2 DUNKL TRANSFORM authKW 243981 1% 86% 59
3 DUNKL OPERATORS authKW 243367 1% 64% 79
4 BRANCHING LAW authKW 147124 1% 82% 37
5 PLANCHEREL FORMULA authKW 139277 1% 80% 36
6 JOURNAL OF LIE THEORY journal 134630 2% 19% 145
7 PALEY WIENER THEOREM authKW 131168 1% 59% 46
8 UNCERTAINTY PRINCIPLE authKW 122587 2% 22% 114
9 DISTINGUISHED REPRESENTATIONS authKW 91894 0% 100% 19
10 AUTOMORPHIC REPRESENTATIONS authKW 90781 1% 57% 33

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 284066 90% 1% 5691
2 Mathematics, Applied 9350 16% 0% 1026
3 Physics, Mathematical 727 4% 0% 233
4 Automation & Control Systems 109 1% 0% 80
5 Multidisciplinary Sciences 2 0% 0% 24
6 Statistics & Probability 2 1% 0% 44
7 Literature, African, Australian, Canadian 0 0% 0% 1
8 Robotics -3 0% 0% 1
9 Mathematics, Interdisciplinary Applications -4 0% 0% 21
10 Computer Science, Cybernetics -4 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 MATH 67983 39% 1% 2454
2 ANAL MATH PLICAT LR11ES11 32237 0% 67% 10
3 TECHNOL KYUSHU 24183 0% 100% 5
4 MATH JUSSIEU 17808 1% 6% 64
5 PREPARATORY ENGINEER STUDIES TUNIS 15475 0% 80% 4
6 EQUIPE THEORIE GRP 14510 0% 100% 3
7 UMR 8628 11609 1% 7% 37
8 SEMINAIRE MATH 10881 0% 75% 3
9 THEORIE GRP REP ENTAT PLICAT 10881 0% 75% 3
10 FB REINE MATH 9673 0% 100% 2

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 LIE THEORY 134630 2% 19% 145
2 COMPOSITIO MATHEMATICA 73419 3% 8% 193
3 JOURNAL OF FUNCTIONAL ANALYSIS 71282 5% 5% 310
4 PACIFIC JOURNAL OF MATHEMATICS 50025 3% 5% 218
5 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 47624 2% 9% 111
6 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 41812 3% 5% 177
7 AMERICAN JOURNAL OF MATHEMATICS 41808 2% 7% 124
8 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 37622 2% 6% 134
9 DUKE MATHEMATICAL JOURNAL 35587 2% 5% 147
10 INVENTIONES MATHEMATICAE 31839 2% 5% 144

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 243981 1% 86% 59 Search DUNKL+TRANSFORM Search DUNKL+TRANSFORM
2 DUNKL OPERATORS 243367 1% 64% 79 Search DUNKL+OPERATORS Search DUNKL+OPERATORS
3 BRANCHING LAW 147124 1% 82% 37 Search BRANCHING+LAW Search BRANCHING+LAW
4 PLANCHEREL FORMULA 139277 1% 80% 36 Search PLANCHEREL+FORMULA Search PLANCHEREL+FORMULA
5 PALEY WIENER THEOREM 131168 1% 59% 46 Search PALEY+WIENER+THEOREM Search PALEY+WIENER+THEOREM
6 UNCERTAINTY PRINCIPLE 122587 2% 22% 114 Search UNCERTAINTY+PRINCIPLE Search UNCERTAINTY+PRINCIPLE
7 DISTINGUISHED REPRESENTATIONS 91894 0% 100% 19 Search DISTINGUISHED+REPRESENTATIONS Search DISTINGUISHED+REPRESENTATIONS
8 AUTOMORPHIC REPRESENTATIONS 90781 1% 57% 33 Search AUTOMORPHIC+REPRESENTATIONS Search AUTOMORPHIC+REPRESENTATIONS
9 DISCRETE SERIES 88893 0% 74% 25 Search DISCRETE+SERIES Search DISCRETE+SERIES
10 ORBITAL INTEGRALS 86691 0% 81% 22 Search ORBITAL+INTEGRALS Search ORBITAL+INTEGRALS

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 FEIGON, B , LAPID, E , OFFEN, O , (2012) ON REPRESENTATIONS DISTINGUISHED BY UNITARY GROUPS.PUBLICATIONS MATHEMATIQUES DE L IHES. VOL. . ISSUE 115. P. 185 -323 65 97% 4
2 GAN, WT , ICHINO, A , (2014) FORMAL DEGREES AND LOCAL THETA CORRESPONDENCE.INVENTIONES MATHEMATICAE. VOL. 195. ISSUE 3. P. 509-672 55 100% 11
3 LAPID, E , MAO, ZY , (2017) WHITTAKER-FOURIER COEFFICIENTS OF CUSP FORMS ON <(SP(N))OVER TILDE>: REDUCTION TO A LOCAL STATEMENT.AMERICAN JOURNAL OF MATHEMATICS. VOL. 139. ISSUE 1. P. 1 -55 37 84% 1
4 MOK, CP , (2015) ENDOSCOPIC CLASSIFICATION OF REPRESENTATIONS OF QUASI-SPLIT UNITARY GROUPS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 235. ISSUE 1108. P. 1 -+ 43 100% 9
5 PEVZNER, M , (2008) COVARIANT QUANTIZATION: SPECTRAL ANALYSIS VERSUS DEFORMATION THEORY.JAPANESE JOURNAL OF MATHEMATICS. VOL. 3. ISSUE 2. P. 247 -290 71 78% 1
6 KAPLAN, E , (2016) REPRESENTATIONS DISTINGUISHED BY PAIRS OF EXCEPTIONAL REPRESENTATIONS AND A CONJECTURE OF SAVIN.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 2. P. 604 -643 46 98% 0
7 KAPLAN, E , (2016) THETA DISTINGUISHED REPRESENTATIONS, INFLATION AND THE SYMMETRIC SQUARE L-FUNCTION.MATHEMATISCHE ZEITSCHRIFT. VOL. 283. ISSUE 3-4. P. 909 -936 44 100% 0
8 GAN, WT , ICHINO, A , (2016) THE GROSS-PRASAD CONJECTURE AND LOCAL THETA CORRESPONDENCE.INVENTIONES MATHEMATICAE. VOL. 206. ISSUE 3. P. 705 -799 40 100% 1
9 LAPID, E , MINGUEZ, A , (2016) ON PARABOLIC INDUCTION ON INNER FORMS OF THE GENERAL LINEAR GROUP OVER A NON-ARCHIMEDEAN LOCAL FIELD.SELECTA MATHEMATICA-NEW SERIES. VOL. 22. ISSUE 4. P. 2347 -2400 40 93% 0
10 BERGERON, N , MILLSON, J , MOEGLIN, C , (2016) THE HODGE CONJECTURE AND ARITHMETIC QUOTIENTS OF COMPLEX BALLS.ACTA MATHEMATICA. VOL. 216. ISSUE 1. P. 1 -125 35 97% 1

Classes with closest relation at Level 2


Rank Class id link
1 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
2 4023 SUBNORMS//HYPERGROUPS//CONVENIENT SETTING
3 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
4 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
5 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
6 376 JOURNAL OF NUMBER THEORY//MATHEMATICS//ACTA ARITHMETICA
7 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS
8 3334 NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS
9 2045 DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA
10 3855 CUICBAS//ARBITRARY BOUNDARIES//NI LOBACHEVSKII MATH MECH

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