3.8 Article

Construction of Continuous Frames in Hilbert Spaces

期刊

AZERBAIJAN JOURNAL OF MATHEMATICS
卷 7, 期 1, 页码 49-58

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INST MATH & MECHANICS AZERBAIJAN

关键词

frame; Bessel sequence; continuous frame; measure space; wavelet frame; short-time Fourier transform; Gabor frame

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Extending the concept of frame to continuous frame, in this manuscript we will show that under certain conditions on the measure space Omega and the dimension of the underlying Hilbert space H, we can construct continuous frames. Also, some examples are given.

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