书目名称 | Convolution Operators and Factorization of Almost Periodic Matrix Functions |
编辑 | Albrecht Böttcher,Yuri I. Karlovich,Ilya M. Spitko |
视频video | http://file.papertrans.cn/238/237877/237877.mp4 |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | Many problems of the engineering sciences, physics, and mathematics lead to con volution equations and their various modifications. Convolution equations on a half-line can be studied by having recourse to the methods and results of the theory of Toeplitz and Wiener-Hopf operators. Convolutions by integrable kernels have continuous symbols and the Cauchy singular integral operator is the most prominent example of a convolution operator with a piecewise continuous symbol. The Fredholm theory of Toeplitz and Wiener-Hopf operators with continuous and piecewise continuous (matrix) symbols is well presented in a series of classical and recent monographs. Symbols beyond piecewise continuous symbols have discontinuities of oscillating type. Such symbols emerge very naturally. For example, difference operators are nothing but convolution operators with almost periodic symbols: the operator defined by (A |
出版日期 | Book 2002 |
关键词 | convolution; harmonic analysis; operator; operator theory; transformation |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-8152-4 |
isbn_softcover | 978-3-0348-9457-9 |
isbn_ebook | 978-3-0348-8152-4Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Birkhäuser Verlag 2002 |