MIT - Functional Analysis 1

This book addresses problems driven by differential operators that lack monotonicity. The authors’ methods rely on coercivity and continuity, allowing for the construction of an approximative scheme……続きを見る

This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD ma……続きを見る

There has been a lot of innovation in systems engineering and some fundamental advances in the field of optics, imaging, lasers, and photonics that warrant attention. This volume focuses on applicat……続きを見る

There has been a lot of innovation in systems engineering and some fundamental advances in the fields of optics, imaging, lasers, and photonics that warrant attention. This volume focuses on concept……続きを見る

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon ー the functional equation of the associated zeta-function. It starts from the basics……続きを見る

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equation……続きを見る

Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of p……続きを見る

This book develops a C*-algebraic approach to the notion of principal symbol on Heisenberg groups and, using the fact that contact manifolds are locally modeled by Heisenberg groups, on compact cont……続きを見る

This self-contained book lays the foundations for a systematic understanding of potential theoretic and uniformization problems on fractal Sierpiński carpets, and proposes a theory based on the late……続きを見る

Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided int……続きを見る

- Follows a standard course curriculum. - Includes both polar coordinates and complex numbers, unlike the competition. 続きを見る

This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Anal……続きを見る

This book introduces readers to the fundamentals of transportation problems under the fuzzy environment and its extensions. It also discusses the limitations and drawbacks of (1) recently proposed a……続きを見る

The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction t……続きを見る

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi……続きを見る

This volume provides a systematic survey of almost all the equivalent assertions to the functional equations ー zeta symmetry ー which zeta-functions satisfy, thus streamlining previously published ……続きを見る

This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as origina……続きを見る

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many diffe……続きを見る