Abstract
In this chapter, we provide the definition of the Clifford–Zak transform associated with the discrete version of the kernel of a windowed Clifford– Fourier transform. We proceed with deriving several important properties of such a transform. Finally, we establish the Balian–Low theorem for a Clifford frame under certain natural assumptions on the window function.
Mathematics Subject Classification (2010). 15A66; 30G35.
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Fu, Y., Kähler, U., Cerejeiras, P. (2013). The Balian–Low Theorem for the Windowed Clifford–Fourier Transform. In: Hitzer, E., Sangwine, S. (eds) Quaternion and Clifford Fourier Transforms and Wavelets. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0603-9_15
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DOI: https://doi.org/10.1007/978-3-0348-0603-9_15
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