G. Ma & J. Zhao: Multilinear Localization Operators Associated to Quaternion Fourier Transforms


 

Ma G., Zhao J. (2017) Multilinear Localization Operators Associated to Quaternion Fourier Transforms. In: Wong M., Zhu H. (eds) Pseudo-Differential Operators: Groups, Geometry and Applications. Trends in Mathematics. Birkhäuser, Cham, DOI: https://doi.org/10.1007/978-3-319-47512-7_5

Abstract: In this article, we study the multilinear localization operator Lφ, ψ F f associated to quaternion Fourier transform(QFT). If F satisfies some conditions, we prove this kind of multilinear operator is bounded on L2(2;)×L2(2;)×L2(2;). Further more, if we fix F and φ, then Lφ, ψ F f is a bilinear compact operator.

Source: https://link.springer.com/chapter/10.1007/978-3-319-47512-7_5 [accessed 17 Jan. 2018]

 

 

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