Applications of the Nilpotent Hardy-Littlewood Method PDF Download
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Author: Lilian Matthiesen
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Languages : en
Pages :
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Author: Lilian Matthiesen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Robert C. Vaughan
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Category :
Languages : en
Pages :
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Author: Jeffrey H. Law
Publisher:
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Category :
Languages : en
Pages : 0
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Author: Paula Schiesser
Publisher:
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Category :
Languages : en
Pages : 0
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Author: Robert Dautray
Publisher: Springer Science & Business Media
ISBN: 3642615295
Category : Mathematics
Languages : en
Pages : 552
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Book Description
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.
Author: Shiing-Shen Chern
Publisher: World Scientific
ISBN: 9789812811769
Category : Mathematics
Languages : en
Pages : 944
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Author: Michael Ruzhansky
Publisher: Springer
ISBN: 303002895X
Category : Mathematics
Languages : en
Pages : 579
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This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.
Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 140088392X
Category : Mathematics
Languages : en
Pages : 712
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Book Description
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Author:
Publisher:
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Category : Number theory
Languages : en
Pages : 1032
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Author: Gabor T. Herman
Publisher: Springer Science & Business Media
ISBN: 0817645438
Category : Technology & Engineering
Languages : en
Pages : 401
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Book Description
The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: theoretical results, algorithms, and practical applications. Following an historical and introductory overview of the field, the book explores the various mathematical and computational problems of discrete tomography with an emphasis on new applications.
