# Top fourier analysis (Trending topics)

The following are the current most viewed articles on Wikipedia within Wikipedia's Fourier analysis category. Think of it as a What's Hot list for Fourier analysis. More info »

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Rank Topic Wikipedia views
1 Fourier transform 6,928
2 Laplace transform 4,302
3 Unit circle 3,638
4 Convolution 3,390
5 Dirac delta function 2,707
6 Discrete Fourier transform 2,281
7 Bessel function 2,210
8 Autocorrelation 2,006
9 Nyquist–Shannon sampling theorem 1,772
10 Laplace operator 1,565
11 Discrete cosine transform 1,162
12 Fundamental frequency 1,149
13 Laplace's equation 1,130
14 Window function 1,087
15 Fourier analysis 1,073
16 LTI system theory 856
17 Spherical harmonics 843
18 Periodic function 821
19 Frequency spectrum 811
20 Fourier transform spectroscopy 567
21 Discrete-time Fourier transform 546
22 Reciprocal lattice 486
23 Orthonormal basis 441
24 Harmonic function 388
25 Parseval's theorem 381
26 Convolution theorem 378
27 Sobolev space 300
28 Short-time Fourier transform 299
29 Sine and cosine transforms 239
30 Topological group 193
31 Fourier optics 193
32 Periodogram 190
33 Fourier 180
34 Final value theorem 180
35 Autocovariance 174
36 Haar measure 168
37 DFT matrix 153
38 Modified discrete cosine transform 147
39 Analytic signal 145
40 Banach algebra 140
41 List of cycles 137
42 Poisson summation formula 134
43 Basis function 131
44 List of Fourier-related transforms 128
45 Poisson kernel 126
46 Fourier inversion theorem 123
47 Parseval's identity 117
48 Instantaneous phase 116
49 Pontryagin duality 115
50 Ewald summation 114
51 Wiener–Khinchin theorem 112
52 S plane 109
54 Dirichlet problem 105
55 Fractional Fourier transform 103
56 Trigonometric polynomial 99
57 Spectral leakage 97
58 Schwartz space 95
59 Compact group 89
60 Plancherel theorem 87
61 Projection-slice theorem 87
62 Whittaker–Shannon interpolation formula 75
63 Paley–Wiener theorem 67
64 Relations between Fourier transforms and Fourier series 63
65 Chirplet transform 62
66 Discrete sine transform 58
67 Generalized Fourier series 57
68 Almost periodic function 53
69 Peter–Weyl theorem 51
70 Modulus of continuity 51
71 Multitaper 48
72 Overlap-save method 47
73 Number-theoretic transform 46
74 Calderón–Zygmund lemma 44
75 Bispectrum 43
76 Microlocal analysis 41
77 Multiplier (Fourier analysis) 39
78 S transform 38
79 A derivation of the discrete Fourier transform 38
80 Discrete Hartley transform 37
81 Linear canonical transformation 37
82 Fourier operator 31
83 Solid harmonics 30
84 Riesz–Thorin theorem 29
85 Marcinkiewicz interpolation theorem 28
86 Algebraic analysis 25
87 Hartley transform 24
88 Arithmetic complexity of the discrete Fourier transform 23
89 Metaplectic group 22
90 Spin-weighted spherical harmonics 22
91 Hausdorff–Young inequality 22
92 Gabor atom 21
93 Discrete Fourier transform (general) 21
94 Fourier transform on finite groups 20
95 List of Fourier analysis topics 19
96 Interpolation space 19
97 Cone-shape distribution function 18
98 FBI transform 15
99 Non-uniform discrete Fourier transform 15
100 SigSpec 15
101 Homogeneous distribution 15
102 Segal-Shale-Weil distribution 14
103 Regressive discrete Fourier series 14
104 Bicoherence 13
105 Balian–Low theorem 12
106 Bilinear time-frequency distribution 12
107 Choi–Williams distribution function 12
108 Spectral concentration problem 12
109 Wirtinger's inequality for functions 11
110 Convolution power 11
111 Fast Fourier Transform Telescope 11
112 Carleson's theorem 10
113 Littlewood–Paley theory 10
114 Discrete Fourier series 10
115 Triple correlation 9
116 Friedel's law 9
117 Conjugate Fourier series 9
118 Parametrix 9
119 Indirect Fourier transform 7
120 Uncertainty principle for the short-time Fourier transform 7
121 Shapiro polynomials 6
122 Motions in the time-frequency distribution 6
123 Set of uniqueness less than 5 views
124 Photon Doppler velocimetry less than 5 views
125 Metaplectomorphism less than 5 views
126 Fourier-related transforms less than 5 views
127 Cycles less than 5 views
128 Fourier analysis topics less than 5 views
129 Spectrum continuation analysis less than 5 views
130 Modulated complex lapped transform less than 5 views

# Encyclopedia

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Fourier analysis"

The following 123 pages are in this category, out of 123 total. This list may not reflect recent changes (learn more).

# Study guide

Up to date as of January 14, 2010

## Pages in category "Fourier analysis"

The following 10 pages are in this category, out of 10 total.