On a spatial generalization of the complex \(\Pi\)-operator
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Publication:1915217
DOI10.4171/ZAA/700zbMath0864.30039WikidataQ58038967 ScholiaQ58038967MaRDI QIDQ1915217
Publication date: 13 June 1996
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions of hypercomplex variables and generalized variables (30G35) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)
Related Items (13)
Fourier multipliers and Dirac operators ⋮ Spherical \(\Pi \)-type operators in Clifford analysis and applications ⋮ On a Dirichlet problem for a generalized Beltrami equation ⋮ On the \(\Pi\)-operator in Clifford analysis ⋮ Nonlinear Riemann-Hilbert problems for axial- and bi-axial-monogenic functions ⋮ Quaternionic Beltrami-type equations and homeomorphic solutions ⋮ The intrinsic \(\pi \)-operator on domain manifolds in \(\mathbb C^{n+1}\) ⋮ On the \(\Pi\)-operator in hyperholomorphic function theory ⋮ On the \(\phi \)-hyperderivative of the \(\psi \)-Cauchy-type integral in Clifford analysis ⋮ A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions ⋮ A short note on the local solvability of the quaternionic Beltrami equation ⋮ Weighted solution of the Dirac Beltrami equation with coefficient in VMO ⋮ Quaternionic Beltrami equations with \(VMO\) coefficients
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