Clifford Wavelets, Singular Integrals, and Hardy Spaces, Marius Mitrea
Автор: Hitzer Eckhard Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034806027 ISBN-13(EAN): 9783034806022 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
Автор: Eckhard Hitzer; Stephen J. Sangwine Название: Quaternion and Clifford Fourier Transforms and Wavelets ISBN: 3034807775 ISBN-13(EAN): 9783034807777 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses the state of the art of hypercomplex Fourier and Wavelet Transformations, both from the side of theoretical investigations and in the context of applications. Draws attention to matrix isomorphisms for hypercomplex algebras.
Описание: This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac ?-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
Описание: This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory.
Автор: Albeverio, Sergio Hoegh-krohn, Rafael Mazzucchi, Sonia Название: Mathematical theory of feynman path integrals ISBN: 3540769544 ISBN-13(EAN): 9783540769545 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Ideas based on Feynman path integrals have played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. This edition is based on the two first authors` mathematical approach of this theory presented in the 1st edition.
Автор: Daisuke Fujiwara Название: Rigorous Time Slicing Approach to Feynman Path Integrals ISBN: 4431565515 ISBN-13(EAN): 9784431565512 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Basic properties of oscillatory integrals and the stationary phase method are explained in the book in detail.Those finite-dimensional integrals form a sequence of approximation of the Feynman path integral when the division goes finer and finer.
Автор: Dragoslav S. Mitrinovic; J. Pecaric; A.M Fink Название: Inequalities Involving Functions and Their Integrals and Derivatives ISBN: 0792313305 ISBN-13(EAN): 9780792313304 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Provides a comprehensive survey of inequalities that involve a relationship between a function and its derivatives or integrals. This book is divided into 18 chapters dealing with specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, and others. It is for those involved in differential and integral equations.
Описание: A comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalized function theory. All the major modern techniques and approaches used in quantum mechanics are introduced.
Автор: Peter S. Bullen; Peng Yee Lee; Jean L. Mawhin; Pat Название: New Integrals ISBN: 3540523227 ISBN-13(EAN): 9783540523222 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Boris Makarov; Anatolii Podkorytov Название: Real Analysis: Measures, Integrals and Applications ISBN: 1447151216 ISBN-13(EAN): 9781447151210 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It features over 600 examples.
Автор: Velho Luiz Название: From Fourier Analysis to Wavelets ISBN: 3319220748 ISBN-13(EAN): 9783319220741 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed.Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets.
Автор: Emmanuele DiBenedetto; Prof. Ugo Pietro Gianazza U Название: Harnack`s Inequality for Degenerate and Singular Parabolic Equations ISBN: 1489999760 ISBN-13(EAN): 9781489999764 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and porous medium type, while raised by several authors, has remained basically open. Recently considerable progress has been made on this issue, to the point that, except for the singular sub-critical range, both for the p-laplacian and the porous medium equations, the theory is reasonably complete.
It seemed therefore timely to trace a comprehensive overview, that would highlight the main issues and also the problems that still remain open. The authors give a comprehensive treatment of the Harnack inequality for non-negative solutions to p-laplace and porous medium type equations, both in the degenerate (p>2 or m>1) and in the singular range (1pmThe book is self-contained. Building on a similar monograph by the first author, the authors of the present book focus entirely on the Harnack estimates and on their applications: indeed a number of known regularity results are given a new proof, based on the Harnack inequality. It is addressed to all professionals active in the field, and also to advanced graduate students, interested in understanding the main issues of this fascinating research field.
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