Class information for:
Level 1: HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26119 262 15.6 21%


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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
3334 2             NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS 1780
26119 1                   HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL 262

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 HERMITE HEAT EQUATION authKW 699282 2% 100% 6
2 S CONVOLUTION authKW 699282 2% 100% 6
3 MEHLER KERNEL authKW 475894 3% 58% 7
4 WEIGHTED DISTRIBUTION SPACES authKW 466188 2% 100% 4
5 CONVOLUTION OF DISTRIBUTIONS authKW 466184 2% 67% 6
6 ULTRADISTRIBUTIONS authKW 354342 6% 20% 15
7 ANALYTIC REPRESENTATIONS OF DISTRIBUTIONS authKW 349641 1% 100% 3
8 FOURIER HYPERFUNCTION authKW 310789 2% 67% 4
9 ABSOLUTELY REGULAR DISTRIBUTION authKW 233094 1% 100% 2
10 BEURLING BJORCK SPACE authKW 233094 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 10196 84% 0% 220
2 Mathematics, Applied 2753 41% 0% 107
3 Multidisciplinary Sciences 72 3% 0% 8
4 Physics, Mathematical 19 3% 0% 8
5 Mathematics, Interdisciplinary Applications 0 1% 0% 2
6 Statistics & Probability 0 1% 0% 2
7 Engineering, Manufacturing 0 0% 0% 1
8 Computer Science, Artificial Intelligence 0 1% 0% 2
9 Telecommunications 0 1% 0% 2
10 Mechanics 0 1% 0% 3

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 CHERNOVTSY KIEV STATE TRADING ECON 116547 0% 100% 1
2 CNRS EQUIPE RECH 294 116547 0% 100% 1
3 KIEV STATE TRADING ECON 116547 0% 100% 1
4 MATH 1 HBEREICH MATH 116547 0% 100% 1
5 MATH SYST MECHNIZAT 116547 0% 100% 1
6 SETOR FIS MATEMAT 29135 0% 25% 1
7 INTERNET BUSINESS 27419 1% 12% 2
8 DST INTERDISCIPLINARY MATH SCI 18828 2% 4% 4
9 UFRMIG 16648 0% 14% 1
10 NCST 11653 0% 10% 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 68136 10% 2% 27
2 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 7522 3% 1% 9
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 6611 3% 1% 7
4 MATHEMATISCHE NACHRICHTEN 4902 5% 0% 13
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3447 10% 0% 25
6 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 2884 1% 1% 3
7 INDAGATIONES MATHEMATICAE-NEW SERIES 1547 2% 0% 4
8 DISSERTATIONES MATHEMATICAE 1512 0% 1% 1
9 STUDIA MATHEMATICA 1425 2% 0% 6
10 LITHUANIAN MATHEMATICAL JOURNAL 1306 1% 1% 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 HERMITE HEAT EQUATION 699282 2% 100% 6 Search HERMITE+HEAT+EQUATION Search HERMITE+HEAT+EQUATION
2 S CONVOLUTION 699282 2% 100% 6 Search S+CONVOLUTION Search S+CONVOLUTION
3 MEHLER KERNEL 475894 3% 58% 7 Search MEHLER+KERNEL Search MEHLER+KERNEL
4 WEIGHTED DISTRIBUTION SPACES 466188 2% 100% 4 Search WEIGHTED+DISTRIBUTION+SPACES Search WEIGHTED+DISTRIBUTION+SPACES
5 CONVOLUTION OF DISTRIBUTIONS 466184 2% 67% 6 Search CONVOLUTION+OF+DISTRIBUTIONS Search CONVOLUTION+OF+DISTRIBUTIONS
6 ULTRADISTRIBUTIONS 354342 6% 20% 15 Search ULTRADISTRIBUTIONS Search ULTRADISTRIBUTIONS
7 ANALYTIC REPRESENTATIONS OF DISTRIBUTIONS 349641 1% 100% 3 Search ANALYTIC+REPRESENTATIONS+OF+DISTRIBUTIONS Search ANALYTIC+REPRESENTATIONS+OF+DISTRIBUTIONS
8 FOURIER HYPERFUNCTION 310789 2% 67% 4 Search FOURIER+HYPERFUNCTION Search FOURIER+HYPERFUNCTION
9 ABSOLUTELY REGULAR DISTRIBUTION 233094 1% 100% 2 Search ABSOLUTELY+REGULAR+DISTRIBUTION Search ABSOLUTELY+REGULAR+DISTRIBUTION
10 BEURLING BJORCK SPACE 233094 1% 100% 2 Search BEURLING+BJORCK+SPACE Search BEURLING+BJORCK+SPACE

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 DIMOVSKI, P , PILIPOVIC, S , VINDAS, J , (2015) NEW DISTRIBUTION SPACES ASSOCIATED TO TRANSLATION-INVARIANT BANACH SPACES.MONATSHEFTE FUR MATHEMATIK. VOL. 177. ISSUE 4. P. 495 -515 9 90% 0
2 ABDULLAH, S , (2013) CONVOLUTION AND FOURIER TRANSFORM OVER THE SPACES KK,M ', K IS AN ELEMENT OF Z, K < 0.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 24. ISSUE 5. P. 377-391 8 100% 0
3 MINCHEVA-KAMINSKA, S , (2014) CONVOLUTION OF DISTRIBUTIONS IN SEQUENTIAL APPROACH.FILOMAT. VOL. 28. ISSUE 8. P. 1543 -1557 7 100% 0
4 BETANCOR, JJ , JEREZ, C , MOLINA, SM , RODRIGUEZ-MESA, L , (2007) DISTRIBUTIONAL CONVOLUTORS FOR FOURIER TRANSFORM.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 325. ISSUE 1. P. 459 -468 8 100% 3
5 CHUONG, NM , (2005) NONLINEAR EVOLUTION OPERATORS AND WAVELETS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 63. ISSUE 5-7. P. E65-E75 8 100% 0
6 SUWA, M , (2014) A CHARACTERIZATION OF DISTRIBUTIONS OF EXPONENTIAL GROWTH WITH SUPPORT IN A REGULAR CLOSED SET.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 59. ISSUE 10. P. 1418-1435 6 100% 1
7 BARGETZ, C , (2015) COMPLETING THE VALDIVIA-VOGT TABLES OF SEQUENCE-SPACE REPRESENTATIONS OF SPACES OF SMOOTH FUNCTIONS AND DISTRIBUTIONS.MONATSHEFTE FUR MATHEMATIK. VOL. 177. ISSUE 1. P. 1 -14 6 86% 0
8 KAMINSKI, A , MINCHEVA-KAMINSKA, S , (2013) COMPATIBILITY CONDITIONS AND THE CONVOLUTION OF FUNCTIONS AND GENERALIZED FUNCTIONS.JOURNAL OF FUNCTION SPACES AND APPLICATIONS. VOL. . ISSUE . P. - 11 48% 1
9 BARGETZ, C , (2015) EXPLICIT REPRESENTATIONS OF SPACES OF SMOOTH FUNCTIONS AND DISTRIBUTIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 424. ISSUE 2. P. 1491 -1505 5 100% 0
10 KIM, D , CHUNG, SY , DHUNGANA, BP , (2007) CHARACTERIZATION OF FOURIER HYPERFUNCTIONS BY SOLUTIONS OF THE HERMITE HEAT EQUATION.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 18. ISSUE 7. P. 471-480 6 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 36834 HEAT AND MASS TRANSFER IN THE BURNETT APPROXIMATION//NONLINEARITY AND BIFURCATION//THERMAL STRESSES IN A GAS
2 23652 ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS
3 25130 NEUTRIX LIMIT//BOEHMIANS//NEUTRIX
4 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
5 30789 GROSSONE//INFINITE AND INFINITESIMAL NUMBERS//INFINITE SETS
6 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
7 16233 COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS
8 4664 GABOR FRAMES//MODULATION SPACES//FRAMES
9 3707 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
10 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS

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