1995 | Buch
Complex Analysis and Special Topics in Harmonic Analysis
Autoren: Carlos A. Berenstein, Roger Gay
Verlag: Springer New York
Print ISBN: 978-1-4613-8447-2
Electronic ISBN: 978-1-4613-8445-8
Enthalten in: Professional Book Archive
1995 | Buch
Autoren: Carlos A. Berenstein, Roger Gay
Verlag: Springer New York
Print ISBN: 978-1-4613-8447-2
Electronic ISBN: 978-1-4613-8445-8
Enthalten in: Professional Book Archive
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.
Version: 0.795.0