Geometric Harmonic Analysis Ii PDF Download
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| Author | : Dorina Mitrea |
| Publisher | : Springer Nature |
| Total Pages | : 938 |
| Release | : 2023-03-03 |
| Genre | : Mathematics |
| ISBN | : 3031137183 |
Download Geometric Harmonic Analysis II Book in PDF, ePub and Kindle
This monograph is part of a larger program, materializing in five volumes, whose principal 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. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.
| 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.
| Author | : Giovanna Citti |
| Publisher | : Birkhäuser |
| Total Pages | : 178 |
| Release | : 2015-04-28 |
| Genre | : Mathematics |
| ISBN | : 3034804083 |
Download Harmonic and Geometric Analysis Book in PDF, ePub and Kindle
This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.
| Author | : Akram Aldroubi |
| Publisher | : Springer Nature |
| Total Pages | : 335 |
| Release | : 2019-11-26 |
| Genre | : Mathematics |
| ISBN | : 3030323536 |
Download New Trends in Applied Harmonic Analysis, Volume 2 Book in PDF, ePub and Kindle
This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in both harmonic analysis and geometric measure theory, particularly focusing on their impact on image and signal processing. The wide range of expertise present in these articles will help readers contextualize how these breakthroughs have been instrumental in resolving deep theoretical problems. Some topics covered include: Gabor frames Falconer distance problem Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in geometric measure theory This volume is ideal for applied and pure mathematicians interested in the areas of image and signal processing. Electrical engineers and statisticians studying these fields will also find this to be a valuable resource.
| Author | : A.A. Kirillov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 274 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662097567 |
Download Representation Theory and Noncommutative Harmonic Analysis II Book in PDF, ePub and Kindle
Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
| Author | : Massimo Picardello |
| Publisher | : CRC Press |
| Total Pages | : 180 |
| Release | : 2019-05-08 |
| Genre | : Mathematics |
| ISBN | : 148228569X |
Download Harmonic Analysis and Integral Geometry Book in PDF, ePub and Kindle
Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lecture
| Author | : Dorina Mitrea |
| Publisher | : Springer Nature |
| Total Pages | : 1004 |
| Release | : 2023-07-09 |
| Genre | : Mathematics |
| ISBN | : 3031291794 |
Download Geometric Harmonic Analysis IV 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. Traditionally, the label “Calderón-Zygmund theory” has been applied to a distinguished body of works primarily pertaining to the mapping properties of singular integral operators on Lebesgue spaces, in various geometric settings. Volume IV amounts to a versatile Calderón-Zygmund theory for singular integral operators of layer potential type in open sets with uniformly rectifiable boundaries, considered on a diverse range of function spaces. Novel applications to complex analysis in several variables are also explored here.
| Author | : Paolo Ciatti |
| Publisher | : Springer Nature |
| Total Pages | : 488 |
| Release | : 2021-09-27 |
| Genre | : Mathematics |
| ISBN | : 3030720586 |
Download Geometric Aspects of Harmonic Analysis Book in PDF, ePub and Kindle
This volume originated in talks given in Cortona at the conference "Geometric aspects of harmonic analysis" held in honor of the 70th birthday of Fulvio Ricci. It presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest mathematicians working in these areas. The subjects dealt with are topics of current interest in closely interrelated areas of Fourier analysis, singular integral operators, oscillatory integral operators, partial differential equations, multilinear harmonic analysis, and several complex variables. The work is addressed to researchers in the field.
| Author | : Dorina Mitrea |
| Publisher | : Springer Nature |
| Total Pages | : 940 |
| Release | : 2022-11-04 |
| Genre | : Mathematics |
| ISBN | : 3031059506 |
Download Geometric Harmonic Analysis I 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. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
| Author | : Dorina Mitrea |
| Publisher | : Springer Nature |
| Total Pages | : 980 |
| Release | : 2023-05-12 |
| Genre | : Mathematics |
| ISBN | : 3031227352 |
Download Geometric Harmonic Analysis III 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. Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.
