Class information for:
Level 2: NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
3334 1780 16.4 27%


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
16233 1                   COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS 666
24288 1                   ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES 317
25130 1                   NEUTRIX LIMIT//BOEHMIANS//NEUTRIX 290
26119 1                   HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL 262
26795 1                   KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS 245

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 NEUTRIX LIMIT authKW 771883 3% 100% 45
2 COLOMBEAU ALGEBRA authKW 722517 3% 86% 49
3 BOEHMIANS authKW 653442 2% 95% 40
4 NEUTRIX authKW 617507 2% 100% 36
5 ALGEBRAS OF GENERALIZED FUNCTIONS authKW 552952 2% 92% 35
6 GENERALIZED FUNCTIONS authKW 488845 4% 37% 77
7 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS journal 440783 10% 14% 179
8 COLOMBEAU GENERALIZED FUNCTIONS authKW 412329 1% 96% 25
9 KONTOROVICH LEBEDEV TRANSFORM authKW 337757 2% 62% 32
10 DELTA FUNCTION authKW 310549 2% 46% 39

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 46252 69% 0% 1227
2 Mathematics, Applied 20956 43% 0% 768
3 Physics, Mathematical 788 7% 0% 116
4 Physics, Particles & Fields 521 7% 0% 116
5 Physics, Multidisciplinary 382 8% 0% 149
6 Astronomy & Astrophysics 238 6% 0% 111
7 Multidisciplinary Sciences 194 2% 0% 36
8 Education, Scientific Disciplines 54 1% 0% 19
9 Mathematics, Interdisciplinary Applications 37 2% 0% 27
10 Statistics & Probability 1 1% 0% 14

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 TECH MATH GEOMETRIE BAUINFORMAT 46686 0% 39% 7
2 UNIT ENGN MATH 46686 0% 39% 7
3 AOC 35612 1% 23% 9
4 EQUIPE AANL 34306 0% 100% 2
5 EQUIPE ANAL ALGEBR NON LINEAIRE 34306 0% 100% 2
6 GRUNDLAGEN BAUINGENIEURWISSEN 32980 0% 38% 5
7 ARBEITSBEREICH TECH MATH 30873 0% 60% 3
8 IUT CREUSOT 24945 0% 36% 4
9 CRREF 22869 0% 67% 2
10 ESTUDIOS GEN 22050 0% 43% 3

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 440783 10% 14% 179
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 21288 9% 1% 162
3 MONATSHEFTE FUR MATHEMATIK 12071 2% 2% 40
4 MATHEMATISCHE NACHRICHTEN 11062 3% 1% 51
5 CLASSICAL AND QUANTUM GRAVITY 4059 3% 0% 51
6 APPLICABLE ANALYSIS 3763 1% 1% 18
7 DISSERTATIONES MATHEMATICAE 3557 0% 5% 4
8 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 3373 1% 2% 13
9 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 3365 1% 2% 12
10 JOURNAL OF INTEGRAL EQUATIONS 3215 0% 4% 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 NEUTRIX LIMIT 771883 3% 100% 45 Search NEUTRIX+LIMIT Search NEUTRIX+LIMIT
2 COLOMBEAU ALGEBRA 722517 3% 86% 49 Search COLOMBEAU+ALGEBRA Search COLOMBEAU+ALGEBRA
3 BOEHMIANS 653442 2% 95% 40 Search BOEHMIANS Search BOEHMIANS
4 NEUTRIX 617507 2% 100% 36 Search NEUTRIX Search NEUTRIX
5 ALGEBRAS OF GENERALIZED FUNCTIONS 552952 2% 92% 35 Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS
6 GENERALIZED FUNCTIONS 488845 4% 37% 77 Search GENERALIZED+FUNCTIONS Search GENERALIZED+FUNCTIONS
7 COLOMBEAU GENERALIZED FUNCTIONS 412329 1% 96% 25 Search COLOMBEAU+GENERALIZED+FUNCTIONS Search COLOMBEAU+GENERALIZED+FUNCTIONS
8 KONTOROVICH LEBEDEV TRANSFORM 337757 2% 62% 32 Search KONTOROVICH+LEBEDEV+TRANSFORM Search KONTOROVICH+LEBEDEV+TRANSFORM
9 DELTA FUNCTION 310549 2% 46% 39 Search DELTA+FUNCTION Search DELTA+FUNCTION
10 COMPOSITION OF DISTRIBUTIONS 275398 1% 94% 17 Search COMPOSITION+OF+DISTRIBUTIONS Search COMPOSITION+OF+DISTRIBUTIONS

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 NIGSCH, EA , (2016) NONLINEAR GENERALIZED SECTIONS OF VECTOR BUNDLES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 440. ISSUE 1. P. 183 -219 28 97% 0
2 STEINBAUER, R , VICKERS, JA , (2006) THE USE OF GENERALIZED FUNCTIONS AND DISTRIBUTIONS IN GENERAL RELATIVITY.CLASSICAL AND QUANTUM GRAVITY. VOL. 23. ISSUE 10. P. R91 -R114 38 76% 39
3 DELCROIX, A , HASLER, MF , PILIPOVIC, S , VALMORIN, V , (2007) SEQUENCE SPACES WITH EXPONENT WEIGHTS. REALIZATIONS OF COLOMBEAU TYPE ALGEBRAS.DISSERTATIONES MATHEMATICAE. VOL. . ISSUE 447. P. 3 -+ 30 97% 2
4 PODOLSKY, J , SAMANN, C , STEINBAUER, R , SVARC, R , (2015) THE GLOBAL EXISTENCE, UNIQUENESS AND C-1-REGULARITY OF GEODESICS IN NONEXPANDING IMPULSIVE GRAVITATIONAL WAVES.CLASSICAL AND QUANTUM GRAVITY. VOL. 32. ISSUE 2. P. - 29 74% 3
5 SAMANN, C , STEINBAUER, R , LECKE, A , PODOLSKY, J , (2016) GEODESICS IN NONEXPANDING IMPULSIVE GRAVITATIONAL WAVES WITH LAMBDA, PART I.CLASSICAL AND QUANTUM GRAVITY. VOL. 33. ISSUE 11. P. - 22 88% 1
6 ARAGONA, J , JURIAANS, SO , COLOMBEAU, JF , (2015) LOCALLY CONVEX TOPOLOGICAL ALGEBRAS OF GENERALIZED FUNCTIONS: COMPACTNESS AND NUCLEARITY IN A NONLINEAR CONTEXT.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 8. P. 5399 -5414 18 95% 0
7 KONJIK, S , KUNZINGER, M , OBERGUGGENBERGER, M , (2008) FOUNDATIONS OF THE CALCULUS OF VARIATIONS IN GENERALIZED FUNCTION ALGEBRAS.ACTA APPLICANDAE MATHEMATICAE. VOL. 103. ISSUE 2. P. 169 -199 23 85% 5
8 ROOPKUMAR, R , (2013) STOCKWELL TRANSFORM FOR BOEHMIANS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 24. ISSUE 4. P. 251 -262 21 81% 1
9 GARETTO, C , (2005) TOPOLOGICAL STRUCTURES IN COLOMBEAU ALGEBRAS: TOPOLOGICAL (C)OVER-TILDE-MODULES AND DUALITY THEORY.ACTA APPLICANDAE MATHEMATICAE. VOL. 88. ISSUE 1. P. 81 -123 20 95% 38
10 DEGUCHI, H , OBERGUGGENBERGER, M , (2016) PROPAGATION OF SINGULARITIES FOR GENERALIZED SOLUTIONS TO WAVE EQUATIONS WITH DISCONTINUOUS COEFFICIENTS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 48. ISSUE 1. P. 397 -442 16 94% 0

Classes with closest relation at Level 2


Rank Class id link
1 1602 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES
2 2875 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
3 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
4 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
5 2891 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
6 4057 LATTICE ORDERED ALGEBRA//GROSSONE//LAGUERRE PLANE
7 3369 P ADIC NUMBERS//GENERALIZED BROWNIAN MOTION PROCESS//FIRST VARIATION
8 170 CLASSICAL AND QUANTUM GRAVITY//PHYSICS, PARTICLES & FIELDS//GENERAL RELATIVITY AND GRAVITATION
9 4006 POTENTIAL TYPE OPERATORS//QUASINORMAL FORM//ANISOTROPIC SINGULAR PERTURBATIONS
10 2872 HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC

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