An alternative proof of Fueter's theorem
From MaRDI portal
Publication:3423537
DOI10.1080/17476930600667650zbMath1117.30039OpenAlexW1967001539MaRDI QIDQ3423537
Dixan Peña Peña, Tao Qian, Fransiscus Sommen
Publication date: 14 February 2007
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930600667650
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Functions of hypercomplex variables and generalized variables (30G35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)
Related Items (18)
The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels ⋮ The Bergman-Sce transform for slice monogenic functions ⋮ On the inversion of Fueter's theorem ⋮ Cauchy-Kowalevski extensions and monogenic plane waves using spherical monogenics ⋮ Uniform generalizations of Fueter's theorem ⋮ The Fueter primitive of biaxially monogenic functions ⋮ Cauchy-Kowalevski extensions and monogenic plane waves in Clifford analysis ⋮ Deriving harmonic functions in Dunkl-Clifford analysis and applications ⋮ The Fueter-Sce mapping and the Clifford–Appell polynomials ⋮ Coherent state transforms and the Weyl equation in Clifford analysis ⋮ On the connection between the Fueter-Sce-Qian theorem and the generalized CK-extension ⋮ The inverse Fueter mapping theorem in integral form using spherical monogenics ⋮ Clifford coherent state transforms on spheres ⋮ Fueter's theorem for monogenic functions in biaxial symmetric domains ⋮ A nonconstant coefficients differential operator associated to slice monogenic functions ⋮ The Fueter mapping theorem in integral form and the ℱ-functional calculus ⋮ Monogenic Gaussian distribution in closed form and the Gaussian fundamental solution ⋮ Extending coherent state transforms to Clifford analysis
Cites Work
This page was built for publication: An alternative proof of Fueter's theorem
