Class information for:
Level 1: CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
12467 903 16.2 41%



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
94 3       MATHEMATICS//MATHEMATICS, APPLIED//MATH 76582
842 2             MATHEMATICS//MAXIMAL OPERATOR//BMO 11754
12467 1                   CONE MULTIPLIERS//FOURIER RESTRICTION//ORBITAL MEASURE 903

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 CONE MULTIPLIERS authKW 405768 1% 100% 12
2 FOURIER RESTRICTION authKW 324609 1% 80% 12
3 ORBITAL MEASURE authKW 228240 1% 75% 9
4 AFFINE ARCLENGTH authKW 202884 1% 100% 6
5 FOURIER INTEGRAL OPERATORS authKW 191148 2% 27% 21
6 AFFINE ARCLENGTH MEASURE authKW 169070 1% 100% 5
7 OSCILLATORY INTEGRALS authKW 169020 3% 17% 30
8 OSCILLATORY INTEGRAL OPERATOR authKW 165684 1% 70% 7
9 BESICOVITCH SET authKW 140890 1% 83% 5
10 RESTRICTION CONJECTURE authKW 135256 0% 100% 4

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 45863 96% 0% 864
2 Mathematics, Applied 3333 25% 0% 224
3 Multidisciplinary Sciences 0 0% 0% 3
4 Acoustics -0 0% 0% 3
5 Mathematical & Computational Biology -0 0% 0% 2
6 Computer Science, Theory & Methods -0 1% 0% 5
7 Statistics & Probability -1 0% 0% 3
8 Mathematics, Interdisciplinary Applications -1 0% 0% 2
9 Physics, Mathematical -2 0% 0% 3
10 Computer Science, Software Engineering -3 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 SCI ENGN OFF 322 50718 0% 50% 3
2 CAMILLE JORDANCNRSUMR 5208 MATH 33814 0% 100% 1
3 CIENCIAS C XV 33814 0% 100% 1
4 DEP MATEMAT C XV 33814 0% 100% 1
5 UNIV JEAN MONNETUMR 5208 33814 0% 100% 1
6 JCMB 30515 2% 6% 14
7 MATH ED 16906 0% 50% 1
8 MAX PLANCK MATH 16906 0% 50% 1
9 MATH 16445 50% 0% 453
10 DIPARTIMENTO INGN GESTIONALE INFORMAZ 8452 0% 25% 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 REVISTA MATEMATICA IBEROAMERICANA 32511 3% 4% 27
2 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 14526 9% 1% 85
3 MATHEMATICAL RESEARCH LETTERS 12863 3% 1% 26
4 JOURNAL OF FUNCTIONAL ANALYSIS 9140 5% 1% 42
5 DUKE MATHEMATICAL JOURNAL 9042 3% 1% 28
6 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 8911 2% 2% 15
7 MATHEMATIKA 8756 2% 2% 15
8 JOURNAL OF GEOMETRIC ANALYSIS 8377 2% 2% 15
9 JOURNAL D ANALYSE MATHEMATIQUE 8290 2% 1% 17
10 GEOMETRIC AND FUNCTIONAL ANALYSIS 8236 2% 2% 16

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 CONE MULTIPLIERS 405768 1% 100% 12 Search CONE+MULTIPLIERS Search CONE+MULTIPLIERS
2 FOURIER RESTRICTION 324609 1% 80% 12 Search FOURIER+RESTRICTION Search FOURIER+RESTRICTION
3 ORBITAL MEASURE 228240 1% 75% 9 Search ORBITAL+MEASURE Search ORBITAL+MEASURE
4 AFFINE ARCLENGTH 202884 1% 100% 6 Search AFFINE+ARCLENGTH Search AFFINE+ARCLENGTH
5 FOURIER INTEGRAL OPERATORS 191148 2% 27% 21 Search FOURIER+INTEGRAL+OPERATORS Search FOURIER+INTEGRAL+OPERATORS
6 AFFINE ARCLENGTH MEASURE 169070 1% 100% 5 Search AFFINE+ARCLENGTH+MEASURE Search AFFINE+ARCLENGTH+MEASURE
7 OSCILLATORY INTEGRALS 169020 3% 17% 30 Search OSCILLATORY+INTEGRALS Search OSCILLATORY+INTEGRALS
8 OSCILLATORY INTEGRAL OPERATOR 165684 1% 70% 7 Search OSCILLATORY+INTEGRAL+OPERATOR Search OSCILLATORY+INTEGRAL+OPERATOR
9 BESICOVITCH SET 140890 1% 83% 5 Search BESICOVITCH+SET Search BESICOVITCH+SET
10 RESTRICTION CONJECTURE 135256 0% 100% 4 Search RESTRICTION+CONJECTURE Search RESTRICTION+CONJECTURE

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 GRESSMAN, PT , (2013) UNIFORM SUBLEVEL RADON-LIKE INEQUALITIES.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 23. ISSUE 2. P. 611 -652 36 95% 1
2 HICKMAN, J , (2016) UNIFORM L-X(P)-L-X,R(Q) IMPROVING FOR DILATED AVERAGES OVER POLYNOMIAL CURVES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 270. ISSUE 2. P. 560 -608 25 96% 0
3 GREENLEAF, A , SEEGER, A , (2002) OSCILLATORY AND FOURIER INTEGRAL OPERATORS WITH DEGENERATE CANONICAL RELATIONS.PUBLICACIONS MATEMATIQUES. VOL. . ISSUE . P. 93-141 38 86% 14
4 STOVALL, B , (2016) UNIFORM ESTIMATES FOR FOURIER RESTRICTION TO POLYNOMIAL CURVES IN R-D.AMERICAN JOURNAL OF MATHEMATICS. VOL. 138. ISSUE 2. P. 449 -471 23 92% 0
5 LEE, S , ROGERS, KM , SEEGER, A , (2012) IMPROVED BOUNDS FOR STEIN'S SQUARE FUNCTIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 104. ISSUE . P. 1198-1234 22 100% 3
6 DENDRINOS, S , LAGHI, N , WRIGHT, J , (2009) UNIVERSAL L-P IMPROVING FOR AVERAGES ALONG POLYNOMIAL CURVES IN LOW DIMENSIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 257. ISSUE 5. P. 1355-1378 23 100% 10
7 BENNETT, J , SEEGER, A , (2009) THE FOURIER EXTENSION OPERATOR ON LARGE SPHERES AND RELATED OSCILLATORY INTEGRALS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 98. ISSUE . P. 45 -82 24 96% 4
8 CHOI, S , (2013) BOUNDS FOR A CONE-TYPE MULTIPLIER OPERATOR OF NEGATIVE INDEX IN R-3.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 94. ISSUE 3. P. 321-347 20 100% 0
9 HAM, S , LEE, S , (2014) RESTRICTION ESTIMATES FOR SPACE CURVES WITH RESPECT TO GENERAL MEASURES.ADVANCES IN MATHEMATICS. VOL. 254. ISSUE . P. 251-279 19 100% 0
10 DENDRINOS, S , STOVALL, B , (2012) UNIFORM ESTIMATES FOR THE X-RAY TRANSFORM RESTRICTED TO POLYNOMIAL CURVES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 262. ISSUE 12. P. 4986-5020 21 91% 0

Classes with closest relation at Level 1



Rank Class id link
1 8015 ROUGH KERNEL//MARCINKIEWICZ INTEGRAL//COMMUTATOR
2 22203 JACOBI EXPANSION//RIESZ TRANSFORM//FOURIER BESSEL EXPANSIONS
3 13837 SUM PRODUCT ESTIMATES//FERMAT QUOTIENTS//DISTINCT DISTANCES
4 32546 POTENTIAL TYPE OPERATORS//APPROXIMATIVE INVERSE OPERATORS//METAHARMONIC SEMIGROUP
5 35117 NORMAL J ALGEBRA//HOMOGENEOUS SIEGEL DOMAIN//MINIMAL DOMAIN
6 33651 NORMAL NUMBERS//CANTOR SERIES//POLYNOMIAL TIME RANDOMNESS
7 29941 PINSKY PHENOMENON//SPHERICAL PARTIAL SUM//FAK 1
8 5720 NON DOUBLING MEASURE//CALDERON ZYGMUND OPERATOR//MULTILINEAR CALDERON ZYGMUND OPERATOR
9 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
10 5559 RIESZ TRANSFORM//SPECTRAL MULTIPLIERS//HARDY SPACE

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