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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.
Autorius: | Roger Gay, Carlos A. Berenstein, |
Leidėjas: | Springer US |
Išleidimo metai: | 2011 |
Knygos puslapių skaičius: | 496 |
ISBN-10: | 1461384478 |
ISBN-13: | 9781461384472 |
Formatas: | 235 x 155 x 27 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „Complex Analysis and Special Topics in Harmonic Analysis“