Titlebook: Quaternionic Integral Transforms; A Machine-Generated Eckhard Hitzer Book 2023 The Editor(s) (if applicable) and The Author(s), under excl

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Octonion Fourier Transform,l linear time-invariant systems, to three-dimensional linear time-invariant differential systems, and to real valued Lipschitz functions of three variables. Finally, an octonion version of offset linear canonical transforms is introduced.

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Further Quaternion Integral Transforms, that often are motivated by generalizing known scalar integral transforms to higher dimensions, taking advantage of how quaternions geometrically meaningfully and efficiently combine several signal components. This chapter is devoted to survey these new types of quaternionic integral transforms.

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https://doi.org/10.1007/978-3-031-28375-8Quaternion integral transforms; Quaternion Fourier transforms; Quaternion wavelet transforms; Quaternio

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Quaternion Wavelet Transform (QWT),Fourier transforms lack localization, this is remedied using localized wavelets of various shapes that can be shifted, scaled and rotated. Naturally this has also been applied for obtaining ..

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Quaternionic Moments,This short chapter surveys five papers containing a variety of quaternionic moment applications in fields like color image watermarking, image representation and recognition, bio-signal watermarking, and quaternionic fractional-order pseudo-Jacobi Fourier moments.

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Eckhard HitzerA Machine-Generated Literature Overview of quaternionic integral transforms.Adopts a novel approach using state-of-the-art AI book content generation.A useful reference for those interested in explori