Conformally covariant operators in Clifford analysis

DOI10.4171/ZAA/647zbMath0841.30039MaRDI QIDQ1909622

Yanyan Li

Publication date: 17 March 1996

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Harmonic analysis in several variables (42B99) Boundary value problems for linear higher-order PDEs (35G15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items

Some conformally flat spin manifolds, Dirac operators and automorphic forms ⋮ Fischer decomposition for the symplectic group ⋮ Some Rarita-Schwinger type operators ⋮ Construction of arbitrary order conformally invariant operators in higher spin spaces ⋮ Higher Order Fermionic and Bosonic Operators ⋮ \(Q_p\)-spaces in Clifford analysis ⋮ Conformally invariant first order equations, their analysis and geometry ⋮ Spinor-valued \(L^2\)-spaces on \(S^{m-1}\) and representations of \(\mathrm{Spin}^+(1,m)\) ⋮ Conformally invariant powers of the Dirac operator in Clifford analysis ⋮ Symmetries of slice monogenic functions ⋮ Unnamed Item ⋮ Clifford and harmonic analysis on cylinders and tori ⋮ Dirac and Laplace operators on some non-orientable conformally flat orbifolds ⋮ Quaternionic \(F (p,q,s)\) function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• H\({}^ p\)-theory on Euclidean space and the Dirac operator
• Wave and Dirac operators, and representations of the conformal group
• Clifford wavelets, singular integrals, and Hardy spaces
• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
• Clifford modules
• Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
• A Cauchy integral formula for a class of elliptic systems of partial differential equations of first order in the space
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Modified clifford analysis
• Convolution Singular Integrals on Lipschitz Surfaces
• Arithmetic Applications of the Hyperbolic Lattice Point Theorem