Harmonic Analysis Smooth And Non Smooth PDF Download
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| Author | : Palle E.T. Jorgensen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 266 |
| Release | : 2018-10-30 |
| Genre | : Harmonic analysis |
| ISBN | : 1470448807 |
Download Harmonic Analysis: Smooth and Non-smooth Book in PDF, ePub and Kindle
There is a recent and increasing interest in harmonic analysis of non-smooth geometries. Real-world examples where these types of geometry appear include large computer networks, relationships in datasets, and fractal structures such as those found in crystalline substances, light scattering, and other natural phenomena where dynamical systems are present. Notions of harmonic analysis focus on transforms and expansions and involve dual variables. In this book on smooth and non-smooth harmonic analysis, the notion of dual variables will be adapted to fractals. In addition to harmonic analysis via Fourier duality, the author also covers multiresolution wavelet approaches as well as a third tool, namely, L2 spaces derived from appropriate Gaussian processes. The book is based on a series of ten lectures delivered in June 2018 at a CBMS conference held at Iowa State University.
| Author | : Luca Capogna |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 170 |
| Release | : 2001 |
| Genre | : Mathematics |
| ISBN | : 0821827456 |
Download Harmonic Analysis and Boundary Value Problems Book in PDF, ePub and Kindle
This volume presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
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| Total Pages | : |
| Release | : 1971 |
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Download Harmonic Analysis Book in PDF, ePub and Kindle
| Author | : Ji Li |
| Publisher | : |
| Total Pages | : 185 |
| Release | : 2009 |
| Genre | : Calderón-Zygmund operator |
| ISBN | : |
Download Harmonic Analysis Book in PDF, ePub and Kindle
| Author | : Vladimir Georgiev |
| Publisher | : Springer Nature |
| Total Pages | : 317 |
| Release | : 2020-11-07 |
| Genre | : Mathematics |
| ISBN | : 3030582159 |
Download Advances in Harmonic Analysis and Partial Differential Equations Book in PDF, ePub and Kindle
This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
| Author | : Carlos E. Kenig |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 345 |
| Release | : 2020-12-14 |
| Genre | : Education |
| ISBN | : 1470461277 |
Download Harmonic Analysis and Applications Book in PDF, ePub and Kindle
The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.
| Author | : V.P. Havin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 272 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642578543 |
Download Commutative Harmonic Analysis III Book in PDF, ePub and Kindle
Aimed at readers who have learned the principles of harmonic analysis, this book provides a variety of perspectives on this very important classical subject. The authors have written a truly outstanding book which distinguishes itself by its excellent expository style.
| Author | : J. Carmona |
| Publisher | : Springer |
| Total Pages | : 241 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540375244 |
Download Non-Commutative Harmonic Analysis Book in PDF, ePub and Kindle
| Author | : Camil Muscalu |
| Publisher | : Cambridge University Press |
| Total Pages | : 341 |
| Release | : 2013-01-31 |
| Genre | : Mathematics |
| ISBN | : 1139620460 |
Download Classical and Multilinear Harmonic Analysis: Volume 2 Book in PDF, ePub and Kindle
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.
| Author | : Dorina Mitrea |
| Publisher | : Springer Nature |
| Total Pages | : 1006 |
| Release | : 2023-08-22 |
| Genre | : Mathematics |
| ISBN | : 3031315618 |
Download Geometric Harmonic Analysis V Book in PDF, ePub and Kindle
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 Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.
