Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older-logarithmic stability in Fourier synthesis   We prove a H\"{o}lder-logarithmic stability estimate for the problem of
finding a sufficiently regular compactly supported function $v$ on
$\mathbb{R}^d$ from its Fourier transform $\mathcal{F} v$ given on $[-r,r]^d$.
This estimate relies on a H\"{o}lder stable continuation of $\mathcal{F}v$ from
$[-r,r]^d$ to a larger domain. The related reconstruction procedures are based
on truncated series of Chebyshev polynomials. We also give an explicit example
showing optimality of our stability estimates.

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The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
21
The categories of this paper are: adap-org