✦ LIBER ✦

Hermitian Clifford analysis and resolutions

✍ Scribed by Irene Sabadini; Frank Sommen

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 165 KB
Volume: 25
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.378

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we discuss the so‐called Witt basis in a Clifford algebra and we axiomatically define an algebra of abstract Hermitian vector variables similar to the ‘radial algebra’. In this setting, we introduce some linear partial differential operators and we study their resolutions. Copyright © 2002 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Clifford analysis on spheres and hyperbo

Clifford analysis on spheres and hyperbolae

✍ John Ryan 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 263 KB

We develop aspects of Clifford analysis over the sphere and hyperbolae. We focus primarily on the hyperbola lying in the Minkowski type space 1L. We show that in order to give a proper extension of basic results on Clifford analysis in Euclidean space to this context one needs to consider both hyper

Multidimensional inverse-scattering and

Multidimensional inverse-scattering and clifford analysis

✍ S. Bernstein 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 393 KB

we present a higher-dimensional 8 method based on Clifford analysis. To explain the method we consider, the formal solution of the inverse scattering problem for the n-dimensional time-dependent Schriidinger equations given by Nachman and Ablowitz [l]. F&placing the general complex Cauchy formula by

Clifford Analysis and Commutators on the

Clifford Analysis and Commutators on the Besov Spaces

✍ Zhijian Wu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 264 KB

Convolution kernels in Clifford analysis

Convolution kernels in Clifford analysis: old and new

✍ Fred Brackx; Hennie De Schepper 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 107 KB

New singular integral operators are constructed involving the so-called spherical monogenics of Cli ord analysis, as special cases of broad families of speciÿc Cli ord distributions. They constitute reÿnements of the classical singular integral operators involving spherical harmonics and give rise t

Special functions in Clifford analysis a

Special functions in Clifford analysis and axial symmetry

✍ F Sommen 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 933 KB

Introduction to Clifford analysis

✍ F. Sommen; W. Sprößig 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 59 KB