(Ilmumisaeg: 28-Feb-2025, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470476236)
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequis...Loe edasi...
Contains the proceedings of the virtual AMS Special Session on Harmonic Analysis. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis and polynomial me...Loe edasi...
(Ilmumisaeg: 31-Dec-2023, Paperback / softback, Kirjastus: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611977660)
Divided into two self-contained parts, this textbook is an introduction to modern real analysis. More than 350 exercises and 100 examples are integrated into the text to help clarify the theoretical considerations and the practical applications to d...Loe edasi...
Defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined...Loe edasi...
Provides 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 the...Loe edasi...
Many smoothness spaces in harmonic analysis are decomposition spaces. In this paper we ask: Given two such spaces, is there an embedding between the two? A decomposition space ( equation) is determined by a covering ( equation) of the frequency ......Loe edasi...
The main purpose of this paper is to establish the theory of the multi-parameter Hardy spaces Hp (0 ( less than) p ( less than or equal to) 1) associated to a class of multi-parameter singular integrals extensively studied in the recent book of B. ......Loe edasi...
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardys inequalities, and partial differential equations....Loe edasi...
Harmonic analysis is the study of functions by decomposing them into components that are special functions, says Varadhan, and he considers here only those aspects of the vast field that were part of the course he taught at the Courant Institute...Loe edasi...
Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear PDE, which...Loe edasi...
We demonstrate and develop dyadic-probabilistic methods in connection with non-homogeneous bilinear operators, namely singular integrals and square functions. We develop the full non-homogeneous theory of bilinear singular integrals using a modern p...Loe edasi...
(Ilmumisaeg: 30-Jan-2019, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470441913)
The lectures are from the course on the Fourier transform that Osgood teaches at Stanford University for beginning graduate and advanced undergraduate students in engineering. It attracts all sorts of engineering and science majors, he says, and...Loe edasi...
Former collaborators, students, and colleagues honor Jawerth (1952-2013) with a collection of surveys and research articles in some of the areas of mathematics where his contributions were decisive. The topics include Jawerth-Milman extrapolation...Loe edasi...
There were five sessions in the conference, and this volume contains 13 papers from the session on several complex variables. Among the topics are pseudo-holomorphic discs and symplectic structures in Hilbert space, the pluri-polarity of graphs of qu...Loe edasi...
Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fract...Loe edasi...
(Ilmumisaeg: 01-Apr-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821891520)
Most functional inequalities are not merely the byproduct of ingenious guess work by a few wizard mathematicians, say Ghoussoub (mathematics, U. of British Columbia) and Moradifam (applied mathematics, Columbia U., New York City), but are often manif...Loe edasi...
Fifteen papers from two March 2011 conferences explore harmonic analysis techniques for studying higher order elliptic systems with irregular coefficients, the behavior of solutions to the focusing quintic nonlinear Schrodinger equation, nonlinear wa...Loe edasi...
Pereyra (U. of New Mexico) and Ward (U. of South Australia) introduce the theories and applications of serious analysis and computational harmonic analysis. They focus on the origin of the field with Fouriers 1822 article on heat and how it flows, a...Loe edasi...