Abstract
We introduce the windowed Fourier transform connected with some singular partial differential operators defined on the half plane $\left [0,+\infty \right [\,\times \mathbb {R}$. Then, we investigate localization operators and show that these operators are not only bounded but also in the Shatten-von Neumann class. We give a trace formula when the symbol function is a nonnegative function.
Citation
Nadia Ben Hamadi. "Localization operators for the windowed Fourier transform associated with singular partial differential operators." Rocky Mountain J. Math. 47 (7) 2179 - 2195, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2179
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