Integral Transforms, Reproducing Kernels and Their Applications, Saitoh, Saburou
Автор: Debnath, Lokenath Название: Integral Transforms and Their Applications ISBN: 1482223570 ISBN-13(EAN): 9781482223576 Издательство: Taylor&Francis Рейтинг: Цена: 18374.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 19564.00 р. 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: Saitoh Название: Theory of Reproducing Kernels and Applications ISBN: 981100529X ISBN-13(EAN): 9789811005299 Издательство: Springer Рейтинг: Цена: 15372.00 р. 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: Saitoh Saburou, Sawano Yoshihiro Название: Theory of Reproducing Kernels and Applications ISBN: 9811091846 ISBN-13(EAN): 9789811091841 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Поставка под заказ.
Описание: Includes practical exercises on qualitative tests for carbohydrates, proteins, amino acids, lipids and non-protein nitrogenous substances, qualitative and quantitative analysis of urine and of various body fluids, quantitative estimation of various metabolites in serum/plasma, and estimation of various serum diagnostic enzymes.
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.
Описание: This textbook provides an in-depth exploration of statistical learning with reproducing kernels, an active area of research that can shed light on trends associated with deep neural networks.
Автор: Daniel Alpay Название: Reproducing Kernel Spaces and Applications ISBN: 3034894309 ISBN-13(EAN): 9783034894302 Издательство: Springer Рейтинг: Цена: 13974.00 р. 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: Lev A. Sakhnovich Название: Integral Equations with Difference Kernels on Finite Intervals ISBN: 3319307630 ISBN-13(EAN): 9783319307633 Издательство: Springer Рейтинг: Цена: 11878.00 р. 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: 3319164880 ISBN-13(EAN): 9783319164885 Издательство: Springer Рейтинг: Цена: 11878.00 р. 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: Xiao Jun Yang Название: Local Fractional Integral Transforms and Their Applications ISBN: 0128040025 ISBN-13(EAN): 9780128040027 Издательство: Elsevier Science Рейтинг: Цена: 11620.00 р. 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
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