Class information for:
Level 1: GABOR FRAMES//MODULATION SPACES//FRAMES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4664 1746 23.0 46%


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
1602 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 7120
4664 1                   GABOR FRAMES//MODULATION SPACES//FRAMES 1746

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 GABOR FRAMES authKW 2300887 9% 88% 150
2 MODULATION SPACES authKW 2021716 8% 87% 133
3 FRAMES authKW 1095657 19% 19% 325
4 G FRAME authKW 944299 3% 100% 54
5 GABOR SYSTEMS authKW 665996 3% 81% 47
6 FUSION FRAMES authKW 566572 2% 90% 36
7 DUAL FRAME authKW 499776 3% 56% 51
8 ZAK TRANSFORM authKW 466294 2% 67% 40
9 BANACH FRAMES authKW 455761 2% 74% 35
10 WEYL HEISENBERG FRAME authKW 442247 2% 90% 28

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 29227 56% 0% 972
2 Mathematics, Applied 24188 47% 0% 815
3 Physics, Mathematical 1926 10% 0% 172
4 Engineering, Electrical & Electronic 506 12% 0% 216
5 Computer Science, Information Systems 272 4% 0% 67
6 Computer Science, Software Engineering 232 3% 0% 55
7 Mathematics, Interdisciplinary Applications 195 3% 0% 50
8 Imaging Science & Photographic Technology 2 0% 0% 6
9 Computer Science, Cybernetics 1 0% 0% 3
10 Computer Science, Theory & Methods 1 1% 0% 17

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 NUHAG 179311 2% 35% 29
2 NUMER HARMON ANAL GRP NUHAG 139896 0% 100% 8
3 MOE INTELLIGENT COMP SIGNAL PROC 78689 0% 75% 6
4 NUMER HARMON ANAL GRP 54467 1% 35% 9
5 COMP SCI PHYS MATH 49235 1% 22% 13
6 NORBERT WIENER 40794 0% 33% 7
7 QUEENSBOROUGH 39344 0% 75% 3
8 LATPUMR7353 34974 0% 100% 2
9 LINEAR ALGEBRA OPTIMIZAT 34974 0% 100% 2
10 MATH MODELLING BK21 34974 0% 100% 2

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 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 257570 6% 13% 112
2 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 245482 6% 13% 111
3 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 51136 3% 7% 44
4 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 45093 1% 13% 20
5 ADVANCES IN COMPUTATIONAL MATHEMATICS 32513 2% 7% 28
6 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 10496 1% 4% 17
7 JOURNAL OF FUNCTIONAL ANALYSIS 9941 3% 1% 61
8 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 9389 1% 4% 14
9 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 6914 1% 3% 12
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6771 5% 0% 91

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 GABOR FRAMES 2300887 9% 88% 150 Search GABOR+FRAMES Search GABOR+FRAMES
2 MODULATION SPACES 2021716 8% 87% 133 Search MODULATION+SPACES Search MODULATION+SPACES
3 FRAMES 1095657 19% 19% 325 Search FRAMES Search FRAMES
4 G FRAME 944299 3% 100% 54 Search G+FRAME Search G+FRAME
5 GABOR SYSTEMS 665996 3% 81% 47 Search GABOR+SYSTEMS Search GABOR+SYSTEMS
6 FUSION FRAMES 566572 2% 90% 36 Search FUSION+FRAMES Search FUSION+FRAMES
7 DUAL FRAME 499776 3% 56% 51 Search DUAL+FRAME Search DUAL+FRAME
8 ZAK TRANSFORM 466294 2% 67% 40 Search ZAK+TRANSFORM Search ZAK+TRANSFORM
9 BANACH FRAMES 455761 2% 74% 35 Search BANACH+FRAMES Search BANACH+FRAMES
10 WEYL HEISENBERG FRAME 442247 2% 90% 28 Search WEYL+HEISENBERG+FRAME Search WEYL+HEISENBERG+FRAME

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 HEIL, C , (2007) HISTORY AND EVOLUTION OF THE DENSITY THEOREM FOR GABOR FRAMES.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 13. ISSUE 2. P. 113 -166 95 91% 59
2 GROCHENIG, K , (2014) THE MYSTERY OF GABOR FRAMES.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 20. ISSUE 4. P. 865 -895 45 96% 5
3 BALAN, R , CASAZZA, PG , HEIL, C , LANDAU, Z , (2006) DENSITY, OVERCOMPLETENESS, AND LOCALIZATION OF FRAMES. II. GABOR SYSTEMS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 12. ISSUE 3. P. 309 -344 37 97% 28
4 CASAZZA, PG , (2000) THE ART OF FRAME THEORY.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 4. ISSUE 2. P. 129 -201 46 75% 202
5 ASCENSI, G , FEICHTINGER, HG , KAIBLINGER, N , (2014) DILATION OF THE WEYL SYMBOL AND BALIAN-LOW THEOREM.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 366. ISSUE 7. P. 3865 -3880 31 91% 7
6 DORFLER, M , ROMERO, JL , (2014) FRAMES ADAPTED TO A PHASE-SPACE COVER.CONSTRUCTIVE APPROXIMATION. VOL. 39. ISSUE 3. P. 445-484 31 91% 4
7 PEHLIVAN, S , HAN, DG , MOHAPATRA, R , (2013) LINEARLY CONNECTED SEQUENCES AND SPECTRALLY OPTIMAL DUAL FRAMES FOR ERASURES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 11. P. 2855-2876 29 100% 3
8 CASAZZA, PG , (2001) MODERN TOOLS FOR WEYL-HEISENBERG (GABOR) FRAME THEORY.ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 115. VOL. 115. ISSUE . P. 1 -127 50 75% 18
9 CORDERO, E , TABACCO, A , WAHLBERG, P , (2013) SCHRODINGER-TYPE PROPAGATORS, PSEUDODIFFERENTIAL OPERATORS AND MODULATION SPACES.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 88. ISSUE . P. 375-395 29 94% 0
10 CORDERO, E , TOFT, J , WAHLBERG, P , (2014) SHARP RESULTS FOR THE WEYL PRODUCT ON MODULATION SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 267. ISSUE 8. P. 3016 -3057 27 96% 0

Classes with closest relation at Level 1


Rank Class id link
1 17462 SHEARLETS//CURVELETS//DIRECTIONAL WAVELETS
2 12574 GENERALIZED SAMPLING//AVERAGE SAMPLING//SAMPLING THEOREM
3 4187 MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS
4 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
5 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
6 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
7 26396 POSITIVE DEFINITE KERNELS//MERCERS THEOREM//FOURIER INVERSION FORMULA
8 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM
9 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
10 14828 TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE

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