Positivity in twisted convolution algebra and Fourier modulation spaces | Zendy

Joachim Toft | Zendy

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Positivity in twisted convolution algebra and Fourier modulation spaces

Author(s) -

Joachim Toft

Publication year - 2006

Publication title -

bulletin classe des sciences mathematiques et natturalles

Language(s) - English

Resource type - Journals

eISSN - 2406-0909

pISSN - 0561-7332

DOI - 10.2298/bmat0631010t

Subject(s) - convolution (computer science) , modulation space , mathematics , fourier transform , modulation (music) , space (punctuation) , fourier series , mathematics subject classification , pure mathematics , fourier analysis , algebra over a field , mathematical analysis , physics , computer science , operating system , machine learning , artificial neural network , acoustics

Let Wp,q be the Fourier modulation space FMp,q and let *σ be the twisted convolution. Iƒ α Є D' such that (a *σ φ,φ)≥ 0 for every φ Є C∞0, and Χ Є such that X(0) ≠ 0, then we prove that χα Є Wp,∞ iff α Є Wp,∞. We also present some extensions to the case when weighted Fourier modulation spaces are used. AMS Mathematics Subject Classification (2000): 47B65, 35A21, 35S05.

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