Iterated integral operators in Clifford analysis
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Publication:1301257
DOI10.4171/ZAA/887zbMath0940.31005OpenAlexW2015005957MaRDI QIDQ1301257
Publication date: 24 July 2000
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/48467
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Other generalizations of analytic functions (including abstract-valued functions) (30G30)
Related Items (33)
A Cauchy transform for polymonogenic functions on fractal domains ⋮ On \(k\)-regular functions with values in a universal Clifford algebra ⋮ Fourier multipliers and Dirac operators ⋮ A polyanalytic functional calculus of order 2 on the 𝑆-spectrum ⋮ Integral Representations Related to Complex Partial Differential Operators ⋮ The Schwarz lemma for functions with values in \(C(V_{n,0})\) ⋮ The Schwarz type lemma in upper half space in Clifford analysis ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ Dirichlet-type problems for n-Poisson equation in Clifford analysis ⋮ Integral formulas for higher order conformally invariant fermionic operators ⋮ Properties of a polyanalytic functional calculus on the S‐spectrum ⋮ The fine structure of the spectral theory on the \(S\)-spectrum in dimension five ⋮ New versions of the Plemelj-Sochocki formula in Clifford analysis ⋮ Generalized integral representations for functions with values in \(C(V_{3,3})\) ⋮ Riemann boundary value problems for triharmonic functions in Clifford analysis ⋮ Dirichlet problem for inhomogeneous biharmonic equation in Clifford analysis ⋮ Some integral representation for meta-monogenic function in Clifford algebras depending on parameters ⋮ Boundary value problems with higher order Lipschitz boundary data for polymonogenic functions in fractal domains ⋮ A bimonogenic Cauchy transform on higher order Lipschitz classes ⋮ Fundamental solutions for second order elliptic operators in Clifford-type algebras ⋮ The Schwarz lemma in Clifford analysis ⋮ Some properties of the higher spin Laplace operator ⋮ Riemann boundary value problem for harmonic functions in Clifford analysis ⋮ On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra ⋮ A laurent expansion and residue theorems of k-regular functions in clifford analysis ⋮ On the Bargmann-Fock-Fueter and Bergman-Fueter integral transforms ⋮ Some integral representations and singular integral over plane in Clifford analysis ⋮ Higher order gradients of monogenic functions ⋮ Higher order Borel-Pompeiu representations in Clifford analysis ⋮ Some Riemann boundary value problems in Clifford analysis ⋮ On the Plemelj-Privalov theorem in Clifford analysis involving higher order Lipschitz classes ⋮ Axially harmonic functions and the harmonic functional calculus on the \(S\)-spectrum ⋮ On the global operator and Fueter mapping theorem for slice polyanalytic functions
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