Class information for:
Level 1: WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30279 171 18.0 24%


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
30279 1                   WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL 171

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 WHITTAKER FUNCTIONS authKW 508561 9% 19% 15
2 WHITTAKER MODELS authKW 267852 2% 50% 3
3 GENERALIZED WHITTAKER MODEL authKW 238092 1% 67% 2
4 ANALYSIS ON HOMOGENEOUS SPACES authKW 178570 1% 100% 1
5 BAILEYS TRANSFORMATIONS authKW 178570 1% 100% 1
6 BOUDARY THEORY authKW 178570 1% 100% 1
7 BOUNDED SYMMETRIC DOMAIN OF TYPE IV authKW 178570 1% 100% 1
8 CONFLUENT EQUATION authKW 178570 1% 100% 1
9 EIGENFUNCTIONS OF INVARIANT DIFFERENTIAL OPERATORS authKW 178570 1% 100% 1
10 EIGENFUNCTIONS OF LAPLACIAN OPERATOR authKW 178570 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 7881 91% 0% 156
2 Mathematics, Applied 150 13% 0% 22
3 Physics, Mathematical 11 3% 0% 5
4 Statistics & Probability 0 1% 0% 1
5 Thermodynamics -0 1% 0% 1
6 Physics, Particles & Fields -0 1% 0% 1
7 Mechanics -0 1% 0% 1
8 Physics, Multidisciplinary -2 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 BUR AIR DEF ANTIMISSILE DEF SYST 89284 1% 50% 1
2 INTELLIGENCE SCI 64931 1% 18% 2
3 KOMABA MEGURO KU 59522 1% 33% 1
4 MATH METHODS PHYS 4009 1% 1% 2
5 KORTEWEG DE VRIES 2203 1% 1% 1
6 MATH CS 1621 1% 1% 1
7 MEGURO KU 1287 9% 0% 15
8 MATH SCI 1125 13% 0% 23
9 PL MATH COMP SCI 893 2% 0% 3
10 MATH 636 23% 0% 40

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 PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES 42788 5% 3% 8
2 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 9581 6% 0% 11
3 JOURNAL OF FUNCTIONAL ANALYSIS 7037 9% 0% 16
4 JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO 6610 1% 2% 2
5 JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 5386 4% 1% 6
6 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 3026 7% 0% 12
7 PURE AND APPLIED MATHEMATICS QUARTERLY 1871 1% 1% 2
8 AMERICAN JOURNAL OF MATHEMATICS 1607 2% 0% 4
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 1572 5% 0% 9
10 ACTA MATHEMATICA 1344 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 WHITTAKER FUNCTIONS 508561 9% 19% 15 Search WHITTAKER+FUNCTIONS Search WHITTAKER+FUNCTIONS
2 WHITTAKER MODELS 267852 2% 50% 3 Search WHITTAKER+MODELS Search WHITTAKER+MODELS
3 GENERALIZED WHITTAKER MODEL 238092 1% 67% 2 Search GENERALIZED+WHITTAKER+MODEL Search GENERALIZED+WHITTAKER+MODEL
4 ANALYSIS ON HOMOGENEOUS SPACES 178570 1% 100% 1 Search ANALYSIS+ON+HOMOGENEOUS+SPACES Search ANALYSIS+ON+HOMOGENEOUS+SPACES
5 BAILEYS TRANSFORMATIONS 178570 1% 100% 1 Search BAILEYS+TRANSFORMATIONS Search BAILEYS+TRANSFORMATIONS
6 BOUDARY THEORY 178570 1% 100% 1 Search BOUDARY+THEORY Search BOUDARY+THEORY
7 BOUNDED SYMMETRIC DOMAIN OF TYPE IV 178570 1% 100% 1 Search BOUNDED+SYMMETRIC+DOMAIN+OF+TYPE+IV Search BOUNDED+SYMMETRIC+DOMAIN+OF+TYPE+IV
8 CONFLUENT EQUATION 178570 1% 100% 1 Search CONFLUENT+EQUATION Search CONFLUENT+EQUATION
9 EIGENFUNCTIONS OF INVARIANT DIFFERENTIAL OPERATORS 178570 1% 100% 1 Search EIGENFUNCTIONS+OF+INVARIANT+DIFFERENTIAL+OPERATORS Search EIGENFUNCTIONS+OF+INVARIANT+DIFFERENTIAL+OPERATORS
10 EIGENFUNCTIONS OF LAPLACIAN OPERATOR 178570 1% 100% 1 Search EIGENFUNCTIONS+OF+LAPLACIAN+OPERATOR Search EIGENFUNCTIONS+OF+LAPLACIAN+OPERATOR

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 ISHII, T , ODA, T , (2014) CALCULUS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SL(N, R).JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 266. ISSUE 3. P. 1286-1372 13 81% 0
2 HIRANO, M , ISHII, T , ODA, T , (2006) CONFLUENCE FROM SIEGEL-WHITTAKER FUNCTIONS TO WHITTAKER FUNCTIONS ON SP(2, R).MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 141. ISSUE . P. 15-31 15 79% 2
3 HIRANO, M , ISHII, T , ODA, T , (2007) WHITTAKER FUNCTIONS FOR P-J-PRINCIPAL SERIES REPRESENTATIONS OF SP(3, R).ADVANCES IN MATHEMATICS. VOL. 215. ISSUE 2. P. 734-765 14 82% 1
4 ISHII, T , (2013) WHITTAKER FUNCTIONS ON ORTHOGONAL GROUPS OF ODD DEGREE.JOURNAL OF LIE THEORY. VOL. 23. ISSUE 1. P. 85-112 8 100% 0
5 ISHII, T , (2010) WHITTAKER FUNCTIONS ON REAL SEMISIMPLE LIE GROUPS OF RANK TWO.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 62. ISSUE 3. P. 563-581 9 90% 0
6 GON, Y , (2002) GENERALIZED WHITTAKER FUNCTIONS ON SU(2,2) WITH RESPECT TO THE SIEGEL PARABOLIC SUBGROUP.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 155. ISSUE 738. P. VIII-116 9 100% 0
7 GREEN, RM , MISHEV, ID , STADE, E , (2016) RELATIONS AMONG COMPLEMENTARY AND SUPPLEMENTARY PAIRINGS OF SAALSCHUTZIAN F-4(3)(1) SERIES.RAMANUJAN JOURNAL. VOL. 39. ISSUE 3. P. 647 -679 10 63% 0
8 ISHII, T , (2005) ON PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SP(2, R).JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 225. ISSUE 1. P. 1-32 7 100% 10
9 HASEGAWA, Y , (2011) PRINCIPAL SERIES AND GENERALIZED PRINCIPAL SERIES WHITTAKER FUNCTIONS WITH PERIPHERAL K-TYPES ON THE REAL SYMPLECTIC GROUP OF RANK 2.MANUSCRIPTA MATHEMATICA. VOL. 134. ISSUE 1-2. P. 91 -122 8 73% 0
10 MIYAZAKI, T , (2011) PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SP(2, C).JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 261. ISSUE 4. P. 1083-1131 8 67% 0

Classes with closest relation at Level 1


Rank Class id link
1 29075 WIGNER N J SYMBOLS//GENERAL RECOUPLING COEFFICIENT//YUTSIS GRAPH
2 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
3 12786 SPRINGER FIBERS//NILPOTENT ORBITS//FINITE W ALGEBRAS
4 1219 DISTINGUISHED REPRESENTATIONS//AUTOMORPHIC REPRESENTATIONS//ORBITAL INTEGRALS
5 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
6 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
7 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
8 7742 SIEGEL MODULAR FORMS//JACOBI FORMS//ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
9 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
10 20979 SYSTOLIC INEQUALITY//HERMITE CONSTANT//SYSTOLE

Go to start page