Search results for ‘Irina Mitrea,Marius Mitrea’

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      Cover image for Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains
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      Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains

      Irina Mitrea,Marius Mitrea

      Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. This book includes boundary…

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      Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces

      Dorina Mitrea,Irina Mitrea,Marius Mitrea

      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…

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      Geometric Harmonic Analysis II: Function Spaces Measuring Size and Smoothness on Rough Sets

      Dorina Mitrea,Irina Mitrea,Marius Mitrea

      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…

      $423.99

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      Cover image for Weighted Morrey Spaces
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      Weighted Morrey Spaces

      Marcus Laurel, Marius Mitrea

      This research monograph provides a functional analytic treatment of Muckenhoupt-weighted Morrey spaces and their pre-duals, weighted Block spaces. This includes a robust Calderon-Zygmund theory for these scales of spaces with…

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      Cover image for The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds
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      The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds

      Dorina Mitrea,Irina Mitrea,Marius Mitrea,Michael Taylor

      The core of this monograph is the development of tools to derive well-posedness results in very general geometric settings for elliptic differential operators. A new generation of Calderon-Zygmund theory is…

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      Cover image for Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
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      Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

      Dorina Mitrea,Irina Mitrea,Marius Mitrea,Sylvie Monniaux

      The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric…

      $276.99

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      Cover image for Clifford Wavelets, Singular Integrals, and Hardy Spaces
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      Clifford Wavelets, Singular Integrals, and Hardy Spaces

      Marius Mitrea

      The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on…

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      Singular Integral Operators, Quantitative Flatness, and Boundary Problems

      Juan Jose Marin,Jose Maria Martell,Dorina Mitrea,Irina Mitrea,Marius Mitrea

      This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a…

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      Cover image for Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory
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      Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces: A Sharp Theory

      Ryan Alvarado,Marius Mitrea

      Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces.

      $138.99

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