| 書目名稱 | Integral Equations with Difference Kernels on Finite Intervals | | 副標(biāo)題 | Second Edition, Revi | | 編輯 | Lev A. Sakhnovich | | 視頻video | http://file.papertrans.cn/469/468305/468305.mp4 | | 概述 | Provides a new and effective method for solving integral equations with difference kernels.Uses the results obtained to investigate a number of theoretical and applied problems.Presents solutions to s | | 叢書名稱 | Operator Theory: Advances and Applications | | 圖書封面 |  | | 描述 | .This book focuses on solving integral equations with difference kernels on finite intervals. The corresponding problem on the semiaxis was previously solved by N. Wiener–E. Hopf and by M.G. Krein. The problem on finite intervals, though significantly more difficult, may be solved using our method of operator identities. This method is also actively employed in inverse spectral problems, operator factorization and nonlinear integral equations. Applications of the obtained results to optimal synthesis, light scattering, diffraction, and hydrodynamics problems are discussed in this book, which also describes how the theory of operators with difference kernels is applied to stable processes and used to solve the famous M. Kac problems on stable processes. In this second edition these results are extensively generalized and include the case of all Levy processes. We present the convolution expression for the well-known Ito formula of the generator operator, a convolution expression thathas proven to be fruitful. Furthermore we have added a new chapter on triangular representation, which is closely connected with previous results and includes a new important class of operators with non- | | 出版日期 | Book 2015Latest edition | | 關(guān)鍵詞 | Levy processes; equations of the first kind; generalized solutions; method of operator identities; trian | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-319-16489-2 | | isbn_softcover | 978-3-319-30763-3 | | isbn_ebook | 978-3-319-16489-2Series ISSN 0255-0156 Series E-ISSN 2296-4878 | | issn_series | 0255-0156 | | copyright | Springer International Publishing Switzerland 2015 |
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