| 书目名称 | Theory of Reproducing Kernels and Applications |
| 编辑 | Saburou Saitoh,Yoshihiro Sawano |
| 视频video | |
| 概述 | Presents a unified theory of reproducing kernels that is fundamental, beautiful and widely applicable in mathematics.Deals with the new discretizations and the Tikhonov regularization for practical co |
| 丛书名称 | Developments in Mathematics |
| 图书封面 |  |
| 描述 | This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications..In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book..Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations..In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results..Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical a |
| 出版日期 | Book 2016 |
| 关键词 | reproducing kernel; inverse problem; Hilbert space; operator equation; Tikhonov regularization (discreti |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-0530-5 |
| isbn_softcover | 978-981-10-9184-1 |
| isbn_ebook | 978-981-10-0530-5Series ISSN 1389-2177 Series E-ISSN 2197-795X |
| issn_series | 1389-2177 |
| copyright | Springer Science+Business Media Singapore 2016 |
发表于 2025-3-21 16:24:32
