The lectures deal with Fourier analysis and its applications. The contributors to the volume are W. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in
Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space. This work is aimed at those who have an interest in the differential geometry of submanifolds and foliations of Riemannian manifolds. The authors of Topics in Extrinsic Geometry of Codimension-One Foliations achieve a technical tour de force, which will lead to important geometric results.
The central topic of this book is Extrinsic Geometric Flow EGF on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. Stein, elliptic non-smooth PDE, nodal sets of eigenfunctions, removable sets for Sobolev spaces in the plane, nonlinear dispersive equations, bilinear operators and renormalization, holomorphic functions on wedges, singular Radon and related transforms, Hilbert transforms and maximal functions on curves, Besov and related function spaces on spaces of homogeneous type, and counterexamples with harmonic gradients in Euclidean space. Some special solutions called Extrinsic Geometric Solutions of EGF are presented and are of great interest, since they provide Riemannian Structures with very particular geometry of the leaves. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in
To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. The contributors to the volume are W.
The Integral Formulae, introduced in chapter 1, is a useful for problems such as: To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. The topics of the lectures are:
The central topic of this book is Extrinsic Geometric Flow EGF on foliated manifolds, which may be a tool for prescribing extrinsic geometric properties of foliations. The lectures deal with Fourier analysis and its applications.
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The topics of the lectures are: The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press.
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The Integral Formulae, introduced in chapter 1, is a useful for problems such as: This work is aimed at those who have an interest in the differential geometry of submanifolds and foliations of Riemannian manifolds.
The lectures deal with Fourier analysis and its applications. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press.
To develop EGF, one needs Variational Formulae, revealed in chapter 2, which expresses a change in different extrinsic geometric quantities of a fixed foliation under leaf-wise variation of the Riemannian Structure of the ambient manifold. Some special solutions called Extrinsic Geometric Solutions of EGF are presented and are of great interest, since they provide Riemannian Structures with very particular geometry of the leaves.
Chapter 3 defines a general notion of EGF and studies the evolution of Riemannian metrics along the trajectories of this flow e. The Integral Formulae steams from a Reeb formula, for foliations on space forms which generalize the classical ones.
For a special auxiliary functions the formulae involve the Newton transformations of the Weingarten operator. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in