Signatur:
7120
In:
Mathematische Forschungsberichte, 23
Materialart:
Schriftenreihen ausleihbar
Seiten:
98 Seiten
,
Illustrationen
Serie:
Mathematische Forschungsberichte 23
URL:
http://www.gbv.de/dms/hbz/toc/ht000911213.pdf
Sprache:
Englisch
Anmerkung:
TABLE OF CONTENTS
Abstract
Introduction
Chapter I. The algebras H and L
1. Notation. General conventions
2. Fundamental notions and definitions
3. Geometrical interpretation
4. Summary
Chapter II. Monogenic functions
1. Functions which have hypercomplex values
2. Monogenic functions
3. Representatives of monogenic functions in the Banach algebra Lγ
4. Analyticity of monogenic functions
Chapter III. Some elementary monogenic functions
I. Introduction
2. The inverse function ζ-1
3. The exponential function
4. The components of a power series with real coefficients
5. Trigonometric and hyperbolic functions
6. The logarithmic function
7. The inverse function ζ*-1
8. The singular manifold of (ζ-α*)-1
Chapter IV. Hypercomplex integrals and theorems of Cauchy's type
1. Introduction. Integrals of hypercomplex-valued functions
2. Integrals of monogenic functions over closed curves and surfaces
3. Cauchy's second theorem for monogenic functions of ζ
4. An application of Cauchy's second theorem
Chapter V. On some results of Marcel N. Roşuleţ
1. Introduction
2. An algebra associated with Laplace's equation
3. Summary of analysis
4. On the relation between the algebras U and L
Appendix. The product of two algebra elements
Bibliography
Standort:
Kompaktmagazin oben
Zweigbibliothek:
GFZ Bibliothek
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