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Google圖書搜尋
Complex Analysis and Special Topics in Harmonic Analysis
Carlos A. Berenstein
Roger Gay
出版
Springer New York
, 1995-08-04
主題
Mathematics / Mathematical Analysis
Mathematics / Group Theory
Mathematics / Calculus
ISBN
0387944117
9780387944111
URL
http://books.google.com.hk/books?id=ISrvAAAAMAAJ&hl=&source=gbs_api
註釋
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.