Fourier multipliers in Hilbert spaces

Julio Delgado; Michael Ruzhansky

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arXiv · 1707.03062

Fourier multipliers in Hilbert spaces

Julio Delgado·Michael Ruzhansky

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Abstract

This is a survey on a notion of invariant operators, or Fourier multipliers on Hilbert spaces. This concept is defined with respect to a fixed partition of the space into a direct sum of finite dimensional subspaces. In particular this notion can be applied to the important case of $L^2(M)$ where $M$ is a compact manifold $M$ endowed with a positive measure. The partition in this case comes from the spectral properties of a a fixed elliptic operator $E$.

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BibTeX RIS

Julio Delgado, Michael Ruzhansky. 2017-07-10. Fourier multipliers in Hilbert spaces. https://arxiv.org/abs/1707.03062

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