Hypercomplex Fourier and Laplace transforms I

Franciscus Sommen

Type: Article

Publication Date: 1982-06-01

Citations: 34

DOI: https://doi.org/10.1215/ijm/1256046802

Abstract

In this paper the exponential function introduced in [14] and the Cauchy kernel introduced in [7] are used to study new kinds of Fourier, Laplace, Cauchy and Hilbert transforms of A valued L 2-func...

Locations

Illinois Journal of Mathematics - View - PDF

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+	All Fourier-Clifford Transforms	2021	Valeriy Labunets Victor Chasovskikh Nicolas Ostheimer
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+ PDF Chat	Characterization of Clifford-valued Hardy spaces and compensated compactness	2003	Lizhong Peng Jiman Zhao
+	Quaternion Ridgelet Transform and Curvelet Transform	2018	Guangsheng Ma Jiman Zhao
+	Hardy spaces on the Quaternions	2003	Jiman Zhao
+	The Paley–Wiener Theorem in Rn with the Clifford Analysis Setting	2002	Kit Ian Kou Tao Qian
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Works Cited by This (5)

Action	Title	Year	Authors
+	A product and an exponential function in hypercomplex function theory	1981	F. Sommen
+	Hypercomplex fourier and laplace transforms II	1983	Franciscus Sommen
+	Distributions and the Boundary Values of Analytic Functions	1966
+	Linear Partial Differential Operators	1969	Lars Hörmander
+	Distributions, complex variables, and Fourier transforms	1965	Hans J. Bremermann