Tag: fourier-analysis

95 Is Fourier analysis a special case of representation theory or an analogue? 2010-08-29T03:47:43.850

62 Quasicrystals and the Riemann Hypothesis 2013-06-13T00:37:01.480

59 How Does My Radio Work? 2012-06-14T04:32:29.493

52 Square root of dirac delta function 2016-04-10T14:49:45.767

51 What are fixed points of the Fourier Transform 2010-01-16T23:46:46.403

42 How does one use the Poisson summation formula? 2010-06-20T10:29:04.503

40 Is there an "elegant" non-recursive formula for these coefficients? Also, how can one get proofs of these patterns? 2011-03-07T02:10:05.307

36 Fourier transform for dummies 2009-10-13T20:21:11.780

35 Intuition for Integral Transforms 2009-10-27T13:32:05.020

34 Truth of the Poisson summation formula 2010-02-07T23:19:59.960

32 Learning roadmap for harmonic analysis 2011-06-03T07:57:16.937

32 How should an analytic number theorist look at Bessel functions? 2012-08-30T17:09:38.020

32 Is this Riemann zeta function product equal to the Fourier transform of the von Mangoldt function? 2014-04-01T15:37:27.830

32 For which maps $S^1\to S^1$ is the winding number defined? 2014-04-12T07:17:06.513

31 Do convolution and multiplication satisfy any nontrivial algebraic identities? 2009-10-30T17:06:37.457

31 Is square of Delta function defined somewhere? 2010-12-02T17:10:11.030

31 What does Mellin inversion "really mean"? 2011-11-02T21:55:32.913

31 Fourier transform on the discrete cube 2012-12-31T19:45:03.023

30 Is the set of primes "translation-finite"? 2009-10-29T21:52:50.233

30 Fourier vs Laplace transforms 2010-02-24T16:09:33.370

29 Why is Fourier analysis so handy for proving the isoperimetric inequality? 2010-06-05T15:53:22.100

25 Explicit formula for Riemann zeros counting function 2011-12-04T17:40:13.240

24 Furstenberg's Conjecture on 2-3-invariant continuous probability measures on the circle 2010-10-30T10:32:43.803

24 Can Hölder's Inequality be strengthened for smooth functions? 2011-03-30T16:55:41.390

22 Does there exist a continuous function of compact support with Fourier transform outside L^1? 2009-11-02T07:34:46.173

22 Range of the Fourier transform on $L^1$ 2009-12-07T07:22:49.760

21 How do I compare the different notions of Fourier transform for sheaves? 2009-10-28T20:49:59.897

21 Parametrization of the boundary of the Mandelbrot set 2010-12-08T13:39:24.433

21 What can be said about the Fourier transforms of characteristic functions? 2014-04-22T18:52:50.537

20 What's the relationship between Gauss sums and the normal distribution? 2010-01-07T18:18:22.240

20 In what ways is the standard Fourier basis optimal? 2013-07-23T23:23:04.583

20 Uncertainty principle for Mellin transform 2013-07-31T14:51:14.693

19 Convergence of Fourier Series of $L^1$ Functions 2010-06-16T19:08:02.170

19 Is this statement which relates the Fourier transform of a function to its singularities correct? 2014-05-03T02:57:26.570

18 Is there an L^p tauberian theorem? 2009-11-05T05:12:52.767

18 Image of L^1 under the Fourier Transform 2013-04-09T01:10:08.443

17 FFTs over finite fields? 2010-09-29T15:49:21.667

17 A curious sin-integral 2017-06-16T20:05:26.483

16 What is the shortest route to Roth's theorem? 2010-11-22T20:45:06.433

16 complex fourier coefficients, introduced by? 2011-03-13T11:07:17.957

16 Nice applications for Schwartz distributions 2017-01-17T17:57:58.900

15 Fast Fourier Transform for Graph Laplacian? 2010-03-01T02:08:57.330

15 Let a function f have all moments zero. What conditions force f to be identically zero? 2010-07-10T13:34:50.393

15 Evil Fourier Coefficients 2010-11-05T18:23:14.450

15 A Fourier-analytic inequality used by Jean Bourgain 2012-07-10T15:09:40.877

15 An algebraic approach to the thermodynamic limit $N\rightarrow\infty$? 2013-07-29T08:34:50.107

15 What geometric information is carried by the Fourier coefficients of the components of a closed curve? 2014-03-27T16:26:42.727

15 Can a continuous function on a compact group $G$ be interpreted as the sum in $C(G)$ of its Fourier series? 2014-05-18T15:15:47.517

15 Is there a $C_c^{\infty}( \mathbb{R}^d)$ function whose Fourier transform we can explicitly write down? 2016-04-23T23:45:12.903

15 Eigenvectors of the Fourier transformation 2016-05-10T12:47:33.280

15 Are Fourier transforms of L^p stable under diffeomorphisms? 2016-08-18T17:12:43.700

14 Comparison of the classical Fourier transform and the Fourier-Mukai transform 2012-10-08T09:41:59.440

14 A question in Fourier analysis 2013-06-21T14:38:41.060

13 Why do Littlewood-Paley projections behave like iid random variables 2010-04-03T10:47:01.327

13 When I can safely assume that a function is a Laplace transform of other function? 2010-11-03T19:24:39.203

13 Fourier decay rate of Cantor measures 2012-05-30T18:13:49.417

13 On the $L^1$-norm of certain exponential sums. 2013-03-06T16:59:00.653

13 Correlation of Fourier transforms of characteristic functions 2013-12-02T16:40:51.813

13 Laplace Transform in the context of Gelfand/Pontryagin 2014-02-11T14:23:22.267

13 Completeness of nonharmonic Fourier Series 2015-11-19T09:07:17.003

12 Introduction to wavelets? 2009-11-10T10:06:40.677

12 Tanh version of a Fourier Transform? 2011-07-26T03:33:29.467

12 General Isoperimetric Inequality via Representation Theory of SO(n) 2012-01-26T21:51:23.427

12 Analogues of the Riemann-Roch Theorem 2012-04-16T00:30:15.347

11 Motivation for BMO 2009-11-03T06:53:29.660

11 level sets of multivariate polynomials 2009-11-08T20:16:21.793

11 Characterization of Boolean-valued functions on the discrete cube based on its Fourier coefficients. 2010-01-12T22:24:50.023

11 Hypoellipticity of square root of laplacian 2010-02-16T20:32:31.340

11 A two-variable Fourier series and a strange integral 2010-02-18T20:40:47.333

11 Lower bounds on (truncated) Fourier transform of functions of constant modulus and bounded derivative 2010-03-01T18:25:47.723

11 Is the Fourier-Transform a bounded operator on Lorentz spaces L(2,q)? 2010-06-21T12:01:25.650

11 Fourier transforms of compactly supported functions 2010-06-30T00:43:22.937

11 Does Weyl's Inequality prove equidistribution? 2010-08-17T20:14:01.243

11 Is the Fourier transform of 1/(1-log(1-x^2)) (supported in [-1,1]) integrable? 2010-10-25T17:34:27.167

11 Fourier transforms of functions not in $L^2.$ 2011-11-14T10:11:16.493

11 What's the role of $H^{p}(\mathbb{R}^{n})$ in modern (harmonic) analysis? 2012-08-28T14:08:37.807

11 Fourier Coefficients and Hölder Continuity 2013-01-30T16:28:34.873

11 Uncertainty principle on finite groups 2013-06-13T16:52:01.630

11 Is there something wrong with Hörmander's theorem on stationary phase method 2013-07-01T06:10:28.917

11 Heuristic interpretation of the 'third index' for Besov and Triebel-Lizorkin spaces 2014-07-12T15:51:26.503

11 Is every continuous endomorphism of the Schwartz space a pseudo-differential operator? 2017-11-03T15:19:44.790

10 Cone shaped solutions to wave equation 2009-10-28T03:37:09.223

10 Why sin and cos in the Fourier Series? 2010-01-14T16:01:07.193

10 Number of lattice points in a random disk of radius r 2011-08-03T00:37:20.920

10 An exponential polynomial with at least one bounded positivity component 2011-08-21T16:15:03.033

10 A problem concerning $L^2([0,1]\times[0,1])$ 2011-11-20T10:01:53.430

10 Connections of results in Harmonic analysis in the theory of Transcendental Numbers 2012-02-06T10:10:17.450

10 Eigenvalues of a sum of Hermitian positive definite circulant matrix and a positive diagonal matrix 2012-05-30T22:53:46.410

10 Uncertainty principle in Entropy terms 2013-02-01T10:33:53.780

10 Questions on de Branges' work on the Riemann hypothesis 2013-11-11T04:53:48.423

10 Determinant of $V^* V$ where $V$ is rectangular Vandermonde matrix with nodes on unit circle 2014-01-22T12:47:55.187

10 Error of Discrete Fourier Transform on Finite Domain (vs. Continuous FT) in terms of Sobolev order 2014-03-19T15:50:06.317

10 Is a Bessel function larger than all other Bessel functions when evaluated at its first maximum? 2014-06-04T23:43:10.947

10 Bounding exponential sum with square roots 2015-10-01T17:45:36.220

10 Positivity of certain Fourier transform 2016-12-06T09:45:19.613

10 Function and Fourier transform vanish on an interval 2017-07-10T02:23:28.747

10 A modified Heisenberg uncertainty relation 2018-03-04T17:28:43.433

9 Fourier transform of exp(-||x||_p): more general question 2009-10-17T23:52:33.290

9 approximate a probability distribution by moment matching 2010-04-08T21:46:53.680