# Titchmarsh's-type theorem for two-sided quaternion Fourier transform and sharp Hausdorff–Young inequality for quaternion linear canonical transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85200329395
Jurnal / Konferensi: Examples and Counterexamples
Tahun terbit: 2024
DOI: https://doi.org/10.1016/j.exco.2024.100154
ISSN: 2666657X
Kuartil SJR: Q3
Citations: 3

## Authors
- Bahri M.

## Abstract
In this work, we first introduce the two-sided quaternion Fourier transform and demonstrate its essential properties. We generalize Titchmarsh’s-type theorem in the framework of the two-sided quaternion Fourier transform. Based on the interaction between the quaternion Fourier transform and quaternion linear canonical transform we explore sharp Hausdorff–Young inequality for the quaternion linear canonical transform. The obtained result can be considered as a generalized version of sharp Hausdorff–Young inequality for the two-dimensional quaternion Fourier transformation in the literature.

## Keywords
- Quaternion
- Mathematics
- Fourier transform
- Type (biology)
- Hausdorff space
- Mathematical analysis
- Pure mathematics
- Geometry
- Biology
- Ecology

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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