商品描述
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.
商品描述(中文翻譯)
這本書是與同一作者所著的《複變數：入門》相輔相成的著作，進一步發展了理論，持續強調 Cauchy-Riemann 方程在現代複分析中的重要角色。考慮的主題包括：在分佈意義下的全純函數的邊界值；具有增長條件的整函數代數中的插值問題和理想理論；指數多項式；G 變換及其在複分析和超越數論中的統一角色；求和方法；以及 L. Schwarz 的定理，該定理涉及實線上齊次卷積方程的解及其在調和函數理論中的應用。
