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arXiv · 1605.08136

Convolution kernels of 2D Fourier multipliers based on real analytic functions

Michael Greenblatt
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Abstract

In this paper, estimates are proven for convolution kernels associated to multipliers from a reasonably general class of compactly supported two-dimensional functions constructed out of real-analytic functions. These estimates are both for overall decay rate and decay rate in specific directions. The estimates are sharp for a certain range of exponents appearing in the theorems.

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Michael Greenblatt. 2016-05-26. Convolution kernels of 2D Fourier multipliers based on real analytic functions. https://arxiv.org/abs/1605.08136

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