Advances in Analysis and Geometry – serie
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14 produkter
Qα Analysis on Euclidean Spaces
Av Jie Xiao
Inbunden, 2019
1701 kr
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Starting with the fundamentals of Qα spaces and their relationships to Besov spaces, this book presents all major results around Qα spaces obtained in the past 16 years. The applications of Qα spaces in the study of the incompressible Navier-Stokes system and its stationary form are also discussed. …
Sub-Laplacian Operators of Some Model Domains
Av Der-Chen Chang, Jingzhi Tie
Inbunden, 2022
1929 kr
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The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied …
Mathematical Legacy of Victor Lomonosov
Operator Theory
Av Richard M. Aron, Eva A. Gallardo Gutiérrez m. fl.
Inbunden, 2020
1954 kr
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The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside’s theorem, and the …
Real Hypersurfaces in Hermitian Symmetric Spaces
Av Jürgen Berndt, Young Jin Suh
Inbunden, 2022
2549 kr
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Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, …
Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Av Alexander Grigor'yan, Yuhua Sun
Inbunden, 2021
2549 kr
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The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced …
Quantum Harmonic Analysis
An Introduction
Inbunden, 2021
2206 kr
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Quantum mechanics is arguably one of the most successful scientific theories ever and its applications to chemistry, optics, and information theory are innumerable. This book provides the reader with a rigorous treatment of the main mathematical tools from harmonic analysis which play an essential …
Introduction to Potential Theory
Maximal Operators and Weights
Av Hitoshi Tanaka, Hiroki Saito
Inbunden, 2024
1813 kr
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This monograph is devoted to harmonic analysis and potential theory. The authors study these essentials carefully and present recent researches based on the papers including by authors in an accessible manner for graduate students and researchers in pure and applied analysis.
Geometric Potential Analysis
Av Mario Milman, Jie Xiao m. fl.
Inbunden, 2022
2621 kr
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This monograph contains papers that were delivered at the special session on Geometric Potential Analysis, that was part of the Mathematical Congress of the Americas 2021, virtually held in Buenos Aires. The papers, that were contributed by renowned specialists worldwide, cover important aspects of …
Harmonic Analysis and Convexity
Av Alexander Koldobsky, Alexander Volberg
Inbunden, 2023
2703 kr
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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for …
Dynamics of Discrete Group Action
Inbunden, 2024
4304 kr
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Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups …
Potentials and Partial Differential Equations
The Legacy of David R. Adams
Inbunden, 2023
2687 kr
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This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Tomography of Measures on Convex Bodies
Av Apostolos Giannopoulos, Alexander Koldobsky
Inbunden, 2026
2092 kr
Kommande
In this book, we present a collection of results situated at the confluence of two vibrant and rapidly developing areas within convex geometry: the functional approach, which seeks to reinterpret and extend classical theorems of convex geometry by replacing volume with more general measures, and …
p-Adic Analysis
Stochastic Processes and Pseudo-Differential Equations
Inbunden, 2024
2429 kr
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This book is intended to provide a fast, interdisciplinary introduction to the basic results of p-adic analysis and its connections with mathematical physics and applications. The book revolves around three topics: (1) p-adic heat equations and ultradiffusion; (2) fundamental solutions and local …
Capacitary Calculus
With Special Attention to Sobolev Multiplier Spaces and Their Preduals
Av Keng Hao Ooi
Inbunden, 2026
2077 kr
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This book offers a unified framework for the analysis of function spaces associated with non-additive measures. Motivated by questions arising in nonlinear potential theory and super-critical PDEs, it develops the calculus of Choquet integration and studies the structural properties of Lorentz-type …
