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Results tagged with sobolev-spaces
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user 49208
A Sobolev space is a vector space of functions equipped with a norm that is a combination of Lp-norms of the function itself and its derivatives up to a given order.
1
vote
Error of Discrete Fourier Transform on Finite Domain (vs. Continuous FT) in terms of Sobolev...
Also note a paper, but it is in Russian:
Kurbatov A.V., Kurbatov V.G. Approximation of (integral) FT via DFT.
http://www.vestnik.vsu.ru/program/view/view.asp?sec=physmath&year=2012&num=02&f_name=2012 …
- 1,560
0
votes
Derivatives of radial functions can be bounded by derivatives in terms of radial distance?
There are many estimates of Sobolev type of the form
$$
||D^{\alpha}f||_1 \le ||\Delta f||_2
$$
for different pairs of norms. For your case the r.h.s. will be one-dimensional in r
$||(D^2-\frac{n-1}{r …
- 1,560