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In den WarenkorbZustand: New. Saitoh, SaburouSaitoh, SaburouThe general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for F.
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Sprache: Englisch
Verlag: Kluwer Academic Publishers, 2001
ISBN 10: 0792369505 ISBN 13: 9780792369509
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Zustand: New. Analytic Extension is a property of analytic functions. This title contains papers gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, and several complex variables. Editor(s): Saitoh, Saburou; Hayashi, Nakao; Yamamoto, Masahiro. Series: International Society for Analysis, Applications and Computation. Num Pages: 288 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 17. Weight in Grams: 597. . 2001. 2001st Edition. hardcover. . . . .
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 296 | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.
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Sprache: Englisch
Verlag: Kluwer Academic Publishers, 2001
ISBN 10: 0792369505 ISBN 13: 9780792369509
Anbieter: Kennys Bookstore, Olney, MD, USA
Zustand: New. Analytic Extension is a property of analytic functions. This title contains papers gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, and several complex variables. Editor(s): Saitoh, Saburou; Hayashi, Nakao; Yamamoto, Masahiro. Series: International Society for Analysis, Applications and Computation. Num Pages: 288 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 17. Weight in Grams: 597. . 2001. 2001st Edition. hardcover. . . . . Books ship from the US and Ireland.
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Sprache: Englisch
Verlag: Springer Verlag, Singapore, Singapore, 2018
ISBN 10: 9811091846 ISBN 13: 9789811091841
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Paperback. Zustand: new. Paperback. 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 and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory ofAkira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.