(Izdošanas datums: 28-Feb-2025, Hardback, Izdevniecība: 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...Lasīt vairāk
This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory...Lasīt vairāk
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...Lasīt vairāk
A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserve...Lasīt vairāk
A comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book giv...Lasīt vairāk
Contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics in fractal theory, fractal geometry, dynamical systems, and the application o...Lasīt vairāk
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 23-May-2024, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009123181)
Research in recent years has highlighted the deep connections between the algebraic, geometric, and analytic structures of a discrete group. New methods and ideas have resulted in an exciting field, with many opportunities for new researchers. This b...Lasīt vairāk
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...Lasīt vairāk
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 problem...Lasīt vairāk
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...Lasīt vairāk
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...Lasīt vairāk
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 ......Lasīt vairāk
Provides a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is in...Lasīt vairāk
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. ......Lasīt vairāk
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 problem...Lasīt vairāk
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....Lasīt vairāk
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...Lasīt vairāk
Akman and colleagues study two classical potential-theoretic problems in convex geometry. The first problem in an inequality of Brunn-Minkowski type for a nonlinear capacity, CapA, where A-capacity is associated with a nonlinear elliptic partial...Lasīt vairāk
Delorme, Harinck, and Sakellaridis characterize the spectral transform of the spaces of Schwartz and Harish-Chandra Schwartz functions on the points of a homogeneous spherical variety over a p-adic field, and produce rings of multipliers, that is...Lasīt vairāk
