Complex Analysis and Special Topics in Harmonic Analysis
Seiten
1995
Springer-Verlag New York Inc.
978-0-387-94411-1 (ISBN)
Springer-Verlag New York Inc.
978-0-387-94411-1 (ISBN)
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This companion volume to the authors' work "Complex Variables: An Introduction" continues to emphasize the role played by the Cauchy-Riemann equation in modern complex analysis.
A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy Riemann equation plays in modern complex analysis. Topics considered include: boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.
A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy Riemann equation plays in modern complex analysis. Topics considered include: boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.
| Zusatzinfo | 28 illustrations |
|---|---|
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 138 x 216 mm |
| Gewicht | 845 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-387-94411-7 / 0387944117 |
| ISBN-13 | 978-0-387-94411-1 / 9780387944111 |
| Zustand | Neuware |
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