Constructing prolate spheroidal quaternion wave functions on the sphere
From MaRDI portal
Publication:3187845
DOI10.1002/mma.3838zbMath1345.30076OpenAlexW2469595742MaRDI QIDQ3187845
Kit Ian Kou, João Pedro Morais
Publication date: 5 September 2016
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3838
quaternionic analysisprolate spheroidal wave functionsquaternionic functionsquaternionic Fourier transform
Related Items
Quaternion Zernike spherical polynomials, On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators, Towards a quaternionic function theory linked with the Lamé's wave functions, On 3D orthogonal prolate spheroidal monogenics, A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations, Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem
Cites Work
- Unnamed Item
- Local distortion of M-conformal mappings
- Computational aspects of the continuum quaternionic wave functions for hydrogen
- Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
- Generalized holomorphic Szego kernel in 3D spheroids
- Approximation of bandlimited functions
- Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit
- Prolate spheroidal wave functions on a disc -- integration and approximation of two-dimensional bandlimited functions
- A note on a generalized Joukowski transformation
- Approximation of an analytic function on a finite real interval by a bandlimited function and conjectures on properties of prolate spheroidal functions
- Prolate spheroidal wavelets: translation, convolution, and differentiation made easy
- Prolate spheroidal wave functions, an introduction to the Slepian series and its properties
- Wavelets based on prolate spheroidal wave functions
- Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
- Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\)
- An orthogonal system of monogenic polynomials over prolate spheroids in \(\mathbb R^3\)
- A new friendly method of computing prolate spheroidal wave functions and wavelets
- Orthogonal harmonic polynomials
- Fractional Fourier series expansion for finite signals and dual extension to discrete-time fractional Fourier transform
- Real-part estimates for solutions of the Riesz system in ℝ3
- A generalization of the prolate spheroidal wave functions
- Hypercomplex Fourier Transforms of Color Images
- Fast Complexified Quaternion Fourier Transform
- 3D deformations by means of monogenic functions
- Quaternion Zernike spherical polynomials
- 3D‐mappings by means of monogenic functions and their approximation
- Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis
- Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
- A generalization of the prolate spheroidal wave functions with applications to sampling
- Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions