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Results tagged with fourier-analysis
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user 94631
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.
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Accepted
Basis on the sphere in multidimensions
Ivan Izmestiev answered my question, see comments below.
In addition, the question above inspired me to find the explicit result for such integrals (they arise in the framework of generalized Radon …
- 537
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Basis on the sphere in multidimensions
I'm interested if there is the explicit forms of basis functions in $L^2(S^n), n\geq 3$.
For $n=1, n=2$ basis functions are well known: $\{e^{ik\phi}\}_{k\in\mathbb{Z}}$, $\{p^{|m|}_n(\cos \gamma) e …
- 537