Clifford algebra approach to pointwise convergence of Fourier series on spheres
From MaRDI portal
Publication:867803
DOI10.1007/s11425-006-2053-xzbMath1140.42301OpenAlexW1564796119MaRDI QIDQ867803
Publication date: 16 February 2007
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-006-2053-x
Functions of hypercomplex variables and generalized variables (30G35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalization of Fueter's result to \(\mathbb{R}^{n+1}\)
- Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
- Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
- Deriving harmonic functions in higher dimensional spaces
- On convergence and growth of partial sums of Fourier series
- Differentiable manifolds in complex Euclidean space
- Generalizations of Fueter's theorem
- Divergent Jacobi Polynomial Series
- Pointwise convergence for expansions in surface harmonics of arbitrary dimension.
- Quaternionic analysis
- Unmittelbarer Beweis der Konvergenz einiger Reihen, die von mehreren Veränderlichen abhängen
- The Quaternion Calculus
- Fourier analysis on starlike Lipschitz surfaces