HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS

• Published in: Chinese annals of mathematics. Serie B Vol. 26; no. 1; pp. 1 - 14
• Main Authors: BRACKX, F., DE SCHEPPER, H.
• Format: Journal Article
• Language: English
• Published: Clifford Research Group, Department of Mathematical Analysis, Faculty of Engineering, Ghent University, Galglaan 2, B-9000 Gent, Belgium 2005
• Subjects: 克里佛德分布; 希尔伯特变换; 迪拉克算子; 黎兹位势; Hilbert transformation; Clifford analysis; Riesz potentials; Distributions
• ISSN: 0252-9599; 1860-6261
• DOI: 10.1142/S0252959905000026

Around the central theme of """square root""" of the Laplace operator it is shown that the classical Riesz potentials of the first and of the second kind allow for an explicit expression of so-called Hilbert-Dirac convolution operators involving natural and complex powers of the Dirac operator。