A class of quaternionic Fourier orthonormal bases
From MaRDI portal
Publication:6500040
DOI10.1515/FORUM-2023-0190MaRDI QIDQ6500040
Publication date: 10 May 2024
Published in: Forum Mathematicum (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) General harmonic expansions, frames (42C15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some results on the lattice parameters of quaternionic Gabor frames
- The quaternion domain Fourier transform and its properties
- Multidimensional quaternionic Gabor transforms
- The Balian-Low theorem for the windowed quaternionic Fourier transform
- Function theory in plane and space
- Windowed Fourier transform of two-dimensional quaternionic signals
- Structural results for quaternionic Gabor frames
- Some results for the two-sided quaternionic Gabor Fourier transform and quaternionic Gabor frame operator
- Paley-Wiener theorems for the two-sided quaternion Fourier transform
- An uncertainty principle for quaternion Fourier transform
- Quaternion Fourier transform on quaternion fields and generalizations
- The logic of quantum mechanics
- Relaxed quaternionic Gabor expansions at critical density
- Hypercomplex Fourier Transforms of Color Images
- Uncertainty principle for the two-sided quaternion windowed Fourier transform
- The Two-Sided Gabor Quaternionic Fourier Transform and Uncertainty Principles
- Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
This page was built for publication: A class of quaternionic Fourier orthonormal bases