Class information for:
Level 2: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
1761 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 6749
4533 1                   GABOR FRAMES//MODULATION SPACES//FRAMES 1799
5290 1                   MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS 1675
9812 1                   B SPLINE WAVELET ON THE INTERVAL//WAVELET GALERKIN METHOD//WAVELETS 1151
11255 1                   AVERAGE SAMPLING//SAMPLING THEOREM//GENERALIZED SAMPLING 1023
20725 1                   SHEARLETS//NUMER HARMON ANAL GRP NUHAG//CURVELETS 472
22071 1                   SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS 418
32883 1                   MUON BUNDLES//MUON HODOSCOPE//ALBEDO MUONS 146
38316 1                   WAVELET TRANSFORM PROCESSOR//VACUUM MICROELECT//SURFACE ACOUSTIC WAVESAW 65

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS journal 752010 6% 42% 383
2 FRAMES authKW 698848 8% 29% 513
3 GABOR FRAMES authKW 671309 2% 90% 160
4 WAVELETS authKW 562459 12% 15% 805
5 MODULATION SPACES authKW 539571 2% 85% 136
6 SHIFT INVARIANT SPACES authKW 538396 2% 85% 135
7 MULTIWAVELETS authKW 467797 2% 73% 138
8 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS journal 364997 4% 30% 262
9 REFINABLE FUNCTIONS authKW 338443 1% 84% 86
10 MULTIRESOLUTION ANALYSIS authKW 304779 3% 31% 208

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 82849 44% 1% 2973
2 Mathematics 49492 38% 0% 2533
3 Physics, Mathematical 7007 10% 0% 646
4 Mathematics, Interdisciplinary Applications 3490 6% 0% 378
5 Engineering, Electrical & Electronic 2880 14% 0% 975
6 Computer Science, Software Engineering 1771 4% 0% 284
7 Computer Science, Information Systems 415 3% 0% 181
8 Engineering, General 351 2% 0% 154
9 Computer Science, Artificial Intelligence 245 2% 0% 150
10 Mechanics 243 3% 0% 214

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 NUMER HARMON ANAL GRP NUHAG 60683 0% 100% 13
2 MATH 60495 36% 1% 2419
3 NUHAG 60476 0% 39% 33
4 GEOMETRIE PRAKT MATH 47357 1% 24% 43
5 MATH INFORMAT FB12 42434 0% 91% 10
6 COMPUTAT MATH SCI TECHNOL 37649 0% 73% 11
7 EUITT 29855 0% 40% 16
8 LEHRSTUHL NUMER MATH 29127 0% 39% 16
9 FB MATH INFORMAT 12 22869 0% 70% 7
10 DIP ME MO MAT 21003 0% 75% 6

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 752010 6% 42% 383
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 364997 4% 30% 262
3 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 218739 3% 26% 182
4 ADVANCES IN COMPUTATIONAL MATHEMATICS 54446 1% 14% 82
5 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 35770 1% 15% 52
6 CONSTRUCTIVE APPROXIMATION 34446 1% 9% 87
7 JOURNAL OF APPROXIMATION THEORY 30219 2% 4% 150
8 IEEE TRANSACTIONS ON SIGNAL PROCESSING 26065 4% 2% 240
9 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 16165 0% 14% 25
10 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 14214 2% 3% 108

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 FRAMES 698848 8% 29% 513 Search FRAMES Search FRAMES
2 GABOR FRAMES 671309 2% 90% 160 Search GABOR+FRAMES Search GABOR+FRAMES
3 WAVELETS 562459 12% 15% 805 Search WAVELETS Search WAVELETS
4 MODULATION SPACES 539571 2% 85% 136 Search MODULATION+SPACES Search MODULATION+SPACES
5 SHIFT INVARIANT SPACES 538396 2% 85% 135 Search SHIFT+INVARIANT+SPACES Search SHIFT+INVARIANT+SPACES
6 MULTIWAVELETS 467797 2% 73% 138 Search MULTIWAVELETS Search MULTIWAVELETS
7 REFINABLE FUNCTIONS 338443 1% 84% 86 Search REFINABLE+FUNCTIONS Search REFINABLE+FUNCTIONS
8 MULTIRESOLUTION ANALYSIS 304779 3% 31% 208 Search MULTIRESOLUTION+ANALYSIS Search MULTIRESOLUTION+ANALYSIS
9 REFINEMENT EQUATION 301666 1% 91% 71 Search REFINEMENT+EQUATION Search REFINEMENT+EQUATION
10 DUAL FRAME 300305 1% 81% 79 Search DUAL+FRAME Search DUAL+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.

Classes with closest relation at Level 2


rank cluster_id2 link
1 4177 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
2 177 COMPRESSED SENSING//IMAGE DENOISING//IMAGE RESTORATION
3 2452 DUNKL TRANSFORM//DUNKL OPERATORS//DEFORMATION QUANTIZATION
4 1311 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
5 2167 SPHERICAL DESIGNS//PROLATE SPHEROIDAL WAVE FUNCTIONS//SPECTRAL METHODS
6 2770 JOURNAL OF COMPLEXITY//QUASI MONTE CARLO METHODS//QUASI MONTE CARLO
7 1159 RESIDUE NUMBER SYSTEM//DIGITAL FILTERS//IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS
8 1428 FRACTIONAL FOURIER TRANSFORM//FAULT DIAGNOSIS//MECHANICAL SYSTEMS AND SIGNAL PROCESSING
9 3207 COLOMBEAU ALGEBRA//GENERALIZED FUNCTIONS//NEUTRIX LIMIT
10 3592 FRACTAL INTERPOLATION FUNCTIONS//FRACTAL IMAGE COMPRESSION//FRACTAL IMAGE CODING

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