Integral Transforms, Reproducing Kernels and Their Applications, Saitoh, Saburou
Автор: Saitoh Название: Theory of Reproducing Kernels and Applications ISBN: 981100529X ISBN-13(EAN): 9789811005299 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
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 of Akira 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.
Автор: Lev A. Sakhnovich Название: Integral Equations with Difference Kernels on Finite Intervals ISBN: 3319164880 ISBN-13(EAN): 9783319164885 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Lev A. Sakhnovich Название: Integral Equations with Difference Kernels on Finite Intervals ISBN: 3319307630 ISBN-13(EAN): 9783319307633 Издательство: Springer Рейтинг: Цена: 79190.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: Daniel Alpay Название: Reproducing Kernel Spaces and Applications ISBN: 3034894309 ISBN-13(EAN): 9783034894302 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The notions of positive functions and of reproducing kernel Hilbert spaces play an important role in various fields of mathematics, such as stochastic processes, linear systems theory, operator theory, and the theory of analytic functions.
Автор: S. Saitoh; Daniel Alpay; Joseph A. Ball; Takeo Ohs Название: Reproducing Kernels and their Applications ISBN: 1441948090 ISBN-13(EAN): 9781441948090 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC`97) was held at the University of Delaware from 3 to 7 June 1997. Rather than restricting the papers to Congress participants, we asked the Ieading mathematicians in the field of the theory of reproducing kern eIs to submit papers.
Автор: Paulsen Название: An Introduction to the Theory of Reproducing Kernel Hilbert Spaces ISBN: 1107104092 ISBN-13(EAN): 9781107104099 Издательство: Cambridge Academ Рейтинг: Цена: 66530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covering the fundamental underlying theory as well as a range of applications, this unique text provides a unified overview of reproducing kernel Hilbert spaces. It offers an unrivalled and accessible introduction to the field, ideal for graduate students and researchers working in functional analysis or its applications.
Автор: Xiao Jun Yang Название: Local Fractional Integral Transforms and Their Applications ISBN: 0128040025 ISBN-13(EAN): 9780128040027 Издательство: Elsevier Science Рейтинг: Цена: 77470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.
Provides applications of local fractional Fourier Series
Discusses definitions for local fractional Laplace transforms
Explains local fractional Laplace transforms coupled with analytical methods
Автор: K.P. Das Название: Integral Transforms and their Applications ISBN: 1783324953 ISBN-13(EAN): 9781783324958 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 52670.00 T Наличие на складе: Невозможна поставка. Описание: INTEGRAL TRANSFORMS AND THEIR APPLICATIONS is about four important integral transforms, viz., Fourier transform, Laplace transform, Mellin transform and Hankel transform together with their application. These four integral transforms have been defined and their inversion formulas have been derived.
Автор: Olga Moreira Название: An Introduction to Integral Transforms and Their Applications ISBN: 1773615548 ISBN-13(EAN): 9781773615547 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 165390.00 T Наличие на складе: Невозможна поставка. Описание: Provides a detailed guide to integral transforms and their applications. For greater information on integral transforms, advanced topics like Dynamic Behavior of Axially Functionally Graded Pipes Conveying Fluid and Plane Wave Diffraction by a Finite Plate with Impedance Boundary Conditions are discussed.
Автор: Kierat, W. , Sztaba, Urszula Название: Distribution, Integral Transforms and Applications ISBN: 036739555X ISBN-13(EAN): 9780367395551 Издательство: Taylor&Francis Рейтинг: Цена: 65320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional analysis. The more elementary treatments that are available often consider distributions as limits of sequences of functions, but these usually present the theoretical foundations in a form too simplified for practical applications.
Distributions, Integral Transforms and Applications offers an approachable introduction to the theory of distributions and integral transforms that uses Schwartz's description of distributions as linear continous forms on topological vector spaces. The authors use the theory of the Lebesgue integral as a fundamental tool in the proofs of many theorems and develop the theory from its beginnings to the point of proving many of the deep, important theorems, such as the Schwartz kernel theorem and the Malgrange-Ehrenpreis theorem. They clearly demonstrate how the theory of distributions can be used in cases such as Fourier analysis, when the methods of classical analysis are insufficient. Accessible to anyone who has completed a course in advanced calculus, this treatment emphasizes the remarkable connections between distributional theory, classical analysis, and the theory of differential equations and leads directly to applications in various branches of mathematics.
Автор: Farmakis Ioannis Название: Fixed Point Theorems and Their Applications ISBN: 9814458910 ISBN-13(EAN): 9789814458917 Издательство: World Scientific Publishing Рейтинг: Цена: 84480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the only book that deals comprehensively with fixed point theorems throughout mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.
Автор: Jeff Winters Название: Wavelet Transforms and Their Recent Applications in Biology and Geoscience ISBN: 1681176610 ISBN-13(EAN): 9781681176611 Издательство: Gazelle Book Services Рейтинг: Цена: 230210.00 T Наличие на складе: Невозможна поставка. Описание: "Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, signal processing, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines and other medical image technology. Wavelets allow complex information such as music, speech, images and patterns to be decomposed into elementary forms at different positions and scales and subsequently reconstructed with high precision. The main advantages of wavelet methods over traditional Fourier methods are the use of localized basis functions and the faster computation speed. Localized basis functions are ideal for analyzing real physical situations in which a signal contains discontinuities and sharp spikes. One of the main advantages of wavelets is that they offer a simultaneous localization in time and frequency domain. The second main advantage of wavelets is that, using fast wavelet transform, it is computationally very fast. Wavelets have the great advantage of being able to separate the fine details in a signal. Very small wavelets can be used to isolate very fine details in a signal, while very large wavelets can identify coarse details. A wavelet transform can be used to decompose a signal into component wavelets. Wavelet Transforms and Their Recent Applications in Biology and Geoscience emphasize on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in Biology and Geoscience. It is a valuable tool for practitioners and professionals."
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