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Author: Ricardo A. Sáenz Publisher: American Mathematical Society ISBN: 147047199X Category : Mathematics Languages : en Pages : 297
Book Description
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.
Author: Ricardo A. Sáenz Publisher: American Mathematical Society ISBN: 147047199X Category : Mathematics Languages : en Pages : 297
Book Description
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.
Author: Dirk Heremans Publisher: Leuven University Press ISBN: 9789058673855 Category : Business & Economics Languages : en Pages : 308
Book Description
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.
Author: Académie de Droit International de la Ha Staff Publisher: Martinus Nijhoff Publishers ISBN: 9789024736225 Category : Law Languages : en Pages : 532
Book Description
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 .
Author: Joel H. Shapiro Publisher: American Mathematical Soc. ISBN: 1470441160 Category : Mathematics Languages : en Pages : 240
Book Description
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.
Author: Shenghong Chen Publisher: Springer Nature ISBN: 9811974276 Category : Technology & Engineering Languages : en Pages : 782
Book Description
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.
Author: Ricardo A. Sáenz
Author: Ricardo A. Sáenz
Author: Princeton University. Library
Author: Dirk Heremans
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Author: Académie de Droit International de la Ha Staff
Author: Joel H. Shapiro
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Author: 
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Author: Shenghong Chen