## Rocky Mountain Journal of Mathematics

### Localization operators for the windowed Fourier transform associated with singular partial differential operators

#### 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.

#### Article information

Source
Rocky Mountain J. Math., Volume 47, Number 7 (2017), 2179-2195.

Dates
First available in Project Euclid: 24 December 2017

https://projecteuclid.org/euclid.rmjm/1514084424

Digital Object Identifier
doi:10.1216/RMJ-2017-47-7-2179

Mathematical Reviews number (MathSciNet)
MR3748227

Zentralblatt MATH identifier
1381.42010

#### Citation

Hamadi, Nadia Ben. Localization operators for the windowed Fourier transform associated with singular partial differential operators. Rocky Mountain J. Math. 47 (2017), no. 7, 2179--2195. doi:10.1216/RMJ-2017-47-7-2179. https://projecteuclid.org/euclid.rmjm/1514084424

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