# Uncertainty principle for clifford geometric algebras Cln,0, n = 3 (mod 4) based on clifford fourier transform
> Hitzer E.S.M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_84957696217
Jurnal / Konferensi: Applied and Numerical Harmonic Analysis
Tahun terbit: 2007
DOI: https://doi.org/10.1007/978-3-7643-7778-6_6
ISSN: 22965009
Citations: 19

## Authors
- Hitzer E.S.M.

## Abstract
First, the basic concepts of the multivector functions, vector differential and vector derivative in geometric algebra are introduced. Second, we define a generalized real Fourier transform on Clifford multivector-valued functions (f : ℝn → Cl n,0, n = 3 (mod 4)). Third, we introduce a set of important properties of the Clifford Fourier transform on Cl n,0, n = 3 (mod 4) such as differentiation properties, and the Plancherel theorem. Finally, we apply the Clifford Fourier transform properties for proving a directional uncertainty principle for Cl n,0 n = 3 (mod 4) multivector functions.

## Keywords
- Multivector
- Clifford algebra
- Clifford analysis
- Geometric algebra
- Fourier transform
- Mathematics
- Classification of Clifford algebras
- Pure mathematics
- Algebra over a field
- Mod
- Mathematical analysis
- Discrete mathematics
- Filtered algebra
- Division algebra
- Dirac operator

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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