Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra

Wavelet Transform of Dini Lipschitz Functions on the Quaternion Algebra

In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on R . Secondly, we studied...

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Veröffentlicht in:Advances in applied Clifford algebras 2021-02, Vol.31 (1), Article 8
Hauptverfasser: Bouhlal, A., Safouane, N., Achak, A., Daher, R.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Lipschitz condition
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quaternions
Theoretical
Wavelet transforms
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Beschreibung
Zusammenfassung:In this present work, we generalize Titchmarsh’s theorem for the complex- or hypercomplex-valued functions. Firstly, we examine the order of magnitude of the windowed linear canonical transform (WLCT) of complex-valued functions that achieved certain Lipschitz conditions on R . Secondly, we studied the order of magnitude of the 2-D continuous quaternion wavelet transform (CQWT) of certain quaternionic valued Lipschitz functions.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-020-01112-5