Class information for:
Level 2: GABOR FRAME//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//SHIFT INVARIANT SPACE

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
1618 6507 20.9 44%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
604 11589 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//GABOR FRAME//SHIFT INVARIANT SPACE

Classes in level below (level 1)


ID, lev. below Publications Label for level below
3225 1959 REFINABLE FUNCTIONS//REFINEMENT EQUATIONS//REFINABLE FUNCTION
4356 1724 GABOR FRAME//MODULATION SPACES//G FRAME
10283 1011 NORM EQUIVALENCES//BEST N TERM APPROXIMATION//WAVELET GALERKIN METHOD
11875 883 AVERAGE SAMPLING//SAMPLING SERIES//CHROMATIC DERIVATIVES
21135 372 QUASI GREEDY BASIS//BEST M TERM APPROXIMATION//GREEDY BASES
21136 372 ORTHOGONAL EXPONENTIALS//SELF AFFINE MEASURE//COMPATIBLE PAIR
27536 186 AFFINE SYNTHESIS//REPRESENTATION SYSTEM//BEURLING MALLIAVIN DENSITY

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GABOR FRAME Author keyword 208 95% 1% 71
2 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS Journal 163 40% 5% 317
3 SHIFT INVARIANT SPACE Author keyword 119 87% 1% 59
4 MODULATION SPACES Author keyword 115 76% 1% 80
5 G FRAME Author keyword 93 100% 0% 28
6 MODULATION SPACE Author keyword 82 88% 1% 38
7 REFINEMENT EQUATIONS Author keyword 80 90% 1% 35
8 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS Journal 79 29% 4% 230
9 GABOR FRAMES Author keyword 78 71% 1% 63
10 ZAK TRANSFORM Author keyword 75 76% 1% 53

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 GABOR FRAME 208 95% 1% 71 Search GABOR+FRAME Search GABOR+FRAME
2 SHIFT INVARIANT SPACE 119 87% 1% 59 Search SHIFT+INVARIANT+SPACE Search SHIFT+INVARIANT+SPACE
3 MODULATION SPACES 115 76% 1% 80 Search MODULATION+SPACES Search MODULATION+SPACES
4 G FRAME 93 100% 0% 28 Search G+FRAME Search G+FRAME
5 MODULATION SPACE 82 88% 1% 38 Search MODULATION+SPACE Search MODULATION+SPACE
6 REFINEMENT EQUATIONS 80 90% 1% 35 Search REFINEMENT+EQUATIONS Search REFINEMENT+EQUATIONS
7 GABOR FRAMES 78 71% 1% 63 Search GABOR+FRAMES Search GABOR+FRAMES
8 ZAK TRANSFORM 75 76% 1% 53 Search ZAK+TRANSFORM Search ZAK+TRANSFORM
9 REFINABLE FUNCTIONS 74 78% 1% 49 Search REFINABLE+FUNCTIONS Search REFINABLE+FUNCTIONS
10 FRAMES 71 25% 4% 253 Search FRAMES Search FRAMES

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ATOMIC DECOMPOSITIONS 229 77% 2% 155
2 REFINABLE FUNCTIONS 189 80% 2% 117
3 WEYL HEISENBERG FRAMES 183 95% 1% 60
4 L 2R D 175 88% 1% 84
5 SUBDIVISION SCHEMES 166 83% 1% 95
6 L2RD 158 91% 1% 67
7 GABOR FRAMES 157 86% 1% 80
8 INTEGRABLE GROUP REPRESENTATIONS 157 71% 2% 128
9 CANTOR MEASURES 130 97% 1% 36
10 FRACTAL L 2 SPACES 130 97% 1% 36

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 163 40% 5% 317
2 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 79 29% 4% 230
3 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 39 25% 2% 140
4 ADVANCES IN COMPUTATIONAL MATHEMATICS 28 18% 2% 142
5 CONSTRUCTIVE APPROXIMATION 13 12% 2% 108
6 JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 5 20% 0% 24

Reviews


Title Publ. year Cit. Active references % act. ref.
to same field
Wavelet-based numerical analysis: A review and classification 2014 8 134 72%
Sampling - 50 years after Shannon 2000 444 69 67%
Nonuniform sampling and reconstruction in shift-invariant spaces 2001 258 55 85%
Wavelet Methods in Computational Fluid Dynamics 2010 47 107 67%
The lifting scheme: A construction of second generation wavelets 1998 431 52 62%
The art of frame theory 2000 180 61 87%
History and evolution of the Density Theorem for Gabor Frames 2007 48 99 95%
Review of wavelet methods for the solution of reaction-diffusion problems in science and. engineering 2014 4 80 30%
Wavelet methods for PDEs - some recent developments 2001 83 51 76%
Nonlinear methods of approximation 2003 93 37 57%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 NUHAG 17 42% 0.5% 31
2 MATH INFORMAT FB12 17 100% 0.1% 8
3 GEOMETRIE PRAKT MATH 16 29% 0.7% 45
4 FB MATH INFORMAT 12 15 88% 0.1% 7
5 LEHRSTUHL NUMER MATH 9 44% 0.2% 16
6 DIP ME MO MAT 8 75% 0.1% 6
7 NUMER HARMON ANAL GRP NUHAG 8 100% 0.1% 5
8 WYDZIAL MATEMAT INFORMAT EKONOMETRII 7 64% 0.1% 7
9 EUITT 7 38% 0.2% 15
10 MATH U9 6 80% 0.1% 4

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000024208 GEOMATH GRP//SPHERICAL DESIGNS//NEEDLETS
2 0.0000016495 IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS//DIGITAL FILTERS//PERFECT RECONSTRUCTION
3 0.0000014411 COMPUTER AIDED GEOMETRIC DESIGN//COMPUTER-AIDED DESIGN//GEOMETRIC CONTINUITY
4 0.0000012569 COMPRESSED SENSING//IEEE TRANSACTIONS ON IMAGE PROCESSING//IMAGE DENOISING
5 0.0000011694 WALSH KACZMARZ SYSTEM//FEJER MEANS//P ATOM
6 0.0000011062 ROUGH KERNEL//BMO//MARCINKIEWICZ INTEGRAL
7 0.0000010726 MECHANICAL SYSTEMS AND SIGNAL PROCESSING//INSTANTANEOUS FREQUENCY//EMPIRICAL MODE DECOMPOSITION
8 0.0000009062 HAUSDORFF DIMENSION//COMBINATORICS ON WORDS//OPEN SET CONDITION
9 0.0000008843 OPERATIONAL MATRIX//TAU METHOD//TAYLOR POLYNOMIALS AND SERIES
10 0.0000007136 RADIOSITY EQUATION//SCI TECHNOL UNIQUE RUMENTAT//NONLOCAL INTERFACE CONDITIONS