Introduction to Harmonic Analysis
Introduction to Harmonic Analysis

Author: Ricardo A. Sáenz

Publisher: American Mathematical Society

Published: 2023-06-29

Total Pages: 297

ISBN-13: 147047199X

DOWNLOAD EBOOK

This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure theory, Lebesgue integration and approximation theorems. The book motivates the study of harmonic functions by describing the Dirichlet problem, and discussing examples such as solutions to the heat equation in equilibrium, the real and imaginary parts of holomorphic functions, and the minimizing functions of energy. It then leads students through an in-depth study of the boundary behavior of harmonic functions and finishes by developing the theory of harmonic functions defined on fractals domains. The book is designed as a textbook for an introductory course on classical harmonic analysis, or for a course on analysis on fractals. Each chapter contains exercises, and bibliographic and historical notes. The book can also be used as a supplemental text or for self-study.

Current Developments in European Integration
Current Developments in European Integration

Author: Dirk Heremans

Publisher: Leuven University Press

Published: 2004

Total Pages: 308

ISBN-13: 9789058673855

DOWNLOAD EBOOK

The subjects dealt with in the papers include the relationship between the freedoms in the EC treaty and private international law, financial regulation and supervision of banks, the international insurance market and the Euro in the new member states.

Recueil Des Cours, 1986
Recueil Des Cours, 1986

Author: Académie de Droit International de la Ha Staff

Publisher: Martinus Nijhoff Publishers

Published: 1987-10-06

Total Pages: 532

ISBN-13: 9789024736225

DOWNLOAD EBOOK

The Academy is a prestigious international institution for the study and teaching of Public and Private International Law and related subjects. The work of the Hague Academy receives the support and recognition of the UN. Its purpose is to encourage a thorough and impartial examination of the problems arising from international relations in the field of law. The courses deal with the theoretical and practical aspects of the subject, including legislation and case law. All courses at the Academy are, in principle, published in the language in which they were delivered in the "Collected Courses of the Hague Academy of International Law .

Volterra Adventures
Volterra Adventures

Author: Joel H. Shapiro

Publisher: American Mathematical Soc.

Published: 2018-06-14

Total Pages: 240

ISBN-13: 1470441160

DOWNLOAD EBOOK

This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.

Advanced Computational Methods and Geomechanics
Advanced Computational Methods and Geomechanics

Author: Shenghong Chen

Publisher: Springer Nature

Published: 2023-01-01

Total Pages: 782

ISBN-13: 9811974276

DOWNLOAD EBOOK

The aim of this book is intended, through parallel expounding, to help readers comprehensively grasp the intrinsic features of typical advanced computational methods. These methods are created in recent three decades for the understanding of the post-failure of geo-materials accompanied with discontinuous and finite deformation/dislocation, as well as the violent fluid-structure interaction accompanied with strong distortion of water surface. The strong points and weak points of the formalisms for governing equations, the discretization schemes, the nodal interpolation /approximation of field variables, and their connectivity (via support domains, covers, or enrichments), the basic algorithms, etc., are clarified. Being aware of that the differences in these methods are not so large as at the first glance, this book will help readers to select appropriate methods, to improve the methods for their specific purpose, and to evaluate the reliability/applicability of the outcomes in the hazard evaluation of geotechnical (hydraulic) structures beyond extreme work situation. This book may be looked at as an advanced continuation of “Computational Geomechanics and Hydraulic Structures” by the author (2018) (Springer-Verlag, ISBN 978-981-10-8134-7) which elaborates the fundamental computational methods in geomechanics for the routine design of geotechnical (hydraulic) engineering.