Class information for:
Level 1: COLOMBEAU ALGEBRA//ALGEBRAS OF GENERALIZED FUNCTIONS//COLOMBEAU GENERALIZED FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16233 666 18.7 33%


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

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 COLOMBEAU ALGEBRA authKW 1931215 7% 86% 49
2 ALGEBRAS OF GENERALIZED FUNCTIONS authKW 1477976 5% 92% 35
3 COLOMBEAU GENERALIZED FUNCTIONS authKW 1102104 4% 96% 25
4 GENERALIZED FUNCTIONS authKW 595941 8% 25% 52
5 NONLINEAR GENERALIZED FUNCTIONS authKW 553444 2% 93% 13
6 SHARP TOPOLOGY authKW 366781 1% 100% 8
7 ASSOCIATED HOMOGENEOUS DISTRIBUTION authKW 280815 1% 88% 7
8 IMPULSIVE GRAVITATIONAL WAVES authKW 275086 1% 100% 6
9 ALGEBRA OF GENERALIZED FUNCTIONS authKW 229238 1% 100% 5
10 HOLOMORPHIC GENERALIZED FUNCTIONS authKW 229238 1% 100% 5

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 11413 56% 0% 375
2 Mathematics, Applied 4497 33% 0% 220
3 Physics, Particles & Fields 1675 17% 0% 114
4 Astronomy & Astrophysics 924 17% 0% 110
5 Physics, Multidisciplinary 763 17% 0% 112
6 Physics, Mathematical 583 9% 0% 59
7 Multidisciplinary Sciences 124 3% 0% 17
8 Statistics & Probability 5 1% 0% 8
9 Education, Scientific Disciplines 4 1% 0% 4
10 Physics, Nuclear 3 2% 0% 10

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 UNIT ENGN MATH 124799 1% 39% 7
2 AOC 95208 1% 23% 9
3 EQUIPE AANL 91695 0% 100% 2
4 EQUIPE ANAL ALGEBR NON LINEAIRE 91695 0% 100% 2
5 TECH MATH GEOMETRIE BAUINFORMAT 91687 1% 33% 6
6 GRUNDLAGEN BAUINGENIEURWISSEN 88162 1% 38% 5
7 ARBEITSBEREICH TECH MATH 82523 0% 60% 3
8 CRREF 61129 0% 67% 2
9 EQUIPE ANAL ALGEBRIQUE NON LINEAIRE 45848 0% 100% 1
10 EQUIPE ANALYSE ALGEB NON LINEAIRE 45848 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 58796 6% 3% 40
2 MONATSHEFTE FUR MATHEMATIK 23395 5% 2% 34
3 CLASSICAL AND QUANTUM GRAVITY 11018 8% 0% 51
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5847 8% 0% 52
5 ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS 3801 2% 1% 16
6 GENERAL RELATIVITY AND GRAVITATION 3313 3% 0% 18
7 ACTA APPLICANDAE MATHEMATICAE 3086 2% 1% 12
8 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 3068 1% 1% 7
9 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 2953 2% 1% 10
10 APPLICABLE ANALYSIS 2521 1% 1% 9

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 COLOMBEAU ALGEBRA 1931215 7% 86% 49 Search COLOMBEAU+ALGEBRA Search COLOMBEAU+ALGEBRA
2 ALGEBRAS OF GENERALIZED FUNCTIONS 1477976 5% 92% 35 Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS Search ALGEBRAS+OF+GENERALIZED+FUNCTIONS
3 COLOMBEAU GENERALIZED FUNCTIONS 1102104 4% 96% 25 Search COLOMBEAU+GENERALIZED+FUNCTIONS Search COLOMBEAU+GENERALIZED+FUNCTIONS
4 GENERALIZED FUNCTIONS 595941 8% 25% 52 Search GENERALIZED+FUNCTIONS Search GENERALIZED+FUNCTIONS
5 NONLINEAR GENERALIZED FUNCTIONS 553444 2% 93% 13 Search NONLINEAR+GENERALIZED+FUNCTIONS Search NONLINEAR+GENERALIZED+FUNCTIONS
6 SHARP TOPOLOGY 366781 1% 100% 8 Search SHARP+TOPOLOGY Search SHARP+TOPOLOGY
7 ASSOCIATED HOMOGENEOUS DISTRIBUTION 280815 1% 88% 7 Search ASSOCIATED+HOMOGENEOUS+DISTRIBUTION Search ASSOCIATED+HOMOGENEOUS+DISTRIBUTION
8 IMPULSIVE GRAVITATIONAL WAVES 275086 1% 100% 6 Search IMPULSIVE+GRAVITATIONAL+WAVES Search IMPULSIVE+GRAVITATIONAL+WAVES
9 ALGEBRA OF GENERALIZED FUNCTIONS 229238 1% 100% 5 Search ALGEBRA+OF+GENERALIZED+FUNCTIONS Search ALGEBRA+OF+GENERALIZED+FUNCTIONS
10 HOLOMORPHIC GENERALIZED FUNCTIONS 229238 1% 100% 5 Search HOLOMORPHIC+GENERALIZED+FUNCTIONS Search HOLOMORPHIC+GENERALIZED+FUNCTIONS

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 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
9 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
10 ARAGONA, J , FERNANDEZ, R , JURIAANS, SO , OBERGUGGENBERGER, M , (2012) DIFFERENTIAL CALCULUS AND INTEGRATION OF GENERALIZED FUNCTIONS OVER MEMBRANES.MONATSHEFTE FUR MATHEMATIK. VOL. 166. ISSUE 1. P. 1-18 16 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 17441 KUNDT//CLASSICAL AND QUANTUM GRAVITY//ALGEBRAIC CLASSIFICATION
2 16577 LARGE EXTRA DIMENSIONS//HEPCOS//BLACK HOLES
3 24288 ASYMPTOTIC BEHAVIOR OF GENERALIZED FUNCTIONS//QUASIASYMPTOTICS//DISTRIBUTIONAL POINT VALUES
4 13205 DELTA SHOCK WAVE//TRANSONIC SHOCK//DELTA SHOCKS
5 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
6 24201 GRAV GRP//NSI//REGULAR BLACK HOLE
7 25130 NEUTRIX LIMIT//BOEHMIANS//NEUTRIX
8 35122 ALPHA CONCAVITY//ALGEBRA OF CONTINUOUS VECTOR VALUED FUNCTIONS//ANTI HOMOMORPHISMS
9 17690 NONLINEAR GEOMETRIC OPTICS//IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS//PLASMA VACUUM INTERFACE
10 36376 RADIATION TRANSFER EQUATION//FRESNEL INTERFACE CONDITIONS//FRESNEL MATCHING CONDITIONS

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