Wavelet Analysis on a Boehmian Space
نویسنده
چکیده
We extend the wavelet transform to the space of periodic Boehmians and discuss some of its properties. 1. Introduction. The concept of Boehmians was introduced by J. Mikusi´nski and P. Mikusi´nski [7], and the space of Boehmians with two notions of conver-gences was well established in [8]. Many integral transforms have been extended to the context of Boehmian spaces, for example, Fourier transform On the other hand, the theory of wavelet transform is recently developed, and it has various applications in signal processing, especially to analyze non-stationary signals by providing the time-frequency representation of the signal. For a fixed g ∈ ᏸ 2 (R), called a mother wavelet, the wavelet transform
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