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New convolution related theorems and applications associated with offset linear canonical transform

Published 2 May 2025 in math.FA, math-ph, math.MP, and math.OA | (2505.01046v1)

Abstract: In this paper, we define new type of convolution and correlation theorems associated with the offset linear canonical transform (OLCT). Additionally, we discuss their applications in multiplicative filter design, which may prove useful in optics and signal processing for signal recovery. Furthermore, we explore the real Paley-Wiener (PW) and Boas theorems for the OLCT, analyzing signal characteristics for OLCT within the L2 domain.

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