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arXiv · 1902.08453

Stability of nearly optimal decompositions in Fourier Analysis

Anton Tselishchev
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Abstract

The question of existence is treated for near-minimizers for the distance functional (or $E$-functional in the interpolation terminology) that are stable under the action of certain operators. In particular, stable near-minimizers for the couple $(L^1, L^p)$ are shown to exist when the operator is the projection on wavelets and these wavelets possess only some weak conditions of decay at infinity.

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Anton Tselishchev. 2019-02-22. Stability of nearly optimal decompositions in Fourier Analysis. https://arxiv.org/abs/1902.08453

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