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Results tagged with fourier-analysis
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user 20186
The representation of functions (or objects which are in some generalize the notion of function) as constant linear combinations of sines and cosines at integer multiples of a given frequency, as Fourier transforms or as Fourier integrals.
4
votes
Accepted
Convergence of complex series that are not absolutely convergent?
If your $a_n$s are nonnegative, decrease monotonically, and approach zero, and the $b_n$s are such that $\sum e^{i x b_n}$ remains bounded, then Dirichlet's test would apply here and give you converge …
- 5,971
13
votes
Accepted
General Isoperimetric Inequality via Representation Theory of SO(n)
For the second time today (see Bodies of constant width?), I give the answer: see "Geometric Applications of Fourier Series and Spherical Harmonics" by Helmut Groemer. That book deals exactly with you …
- 5,971