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Presents an overview of the developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. This book emphasises on so-called 'non-perturbative' methods and the role of subharmonic function theory and semi-algebraic set methods.

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(Hardback)

Contains an exposition of some of the main developments in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, and relations of curvature to maximal inequalities.

(Hardback)

Featuring a challenging exposition of calculus in the European style, this text is suitable for a first-year university honors course or for a third-year analysis course. It uses applications of derivatives and integrals to show how calculus is applied in these disciplines. It also offers both routine and demanding exercises.

(Paperback)

(Paperback)

The theory of automorphic forms is playing increasingly important roles in several branches of mathematics, even in physics, and is almost ubiquitous in number theory. This book introduces the reader to the subject and, in particular, to elliptic modular forms with emphasis on their number-theoretical aspects.

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Based on a series of lectures given by Harish-Chandra at the Institute for Advanced Study in 1971-1973, this book provides an introduction to the theory of harmonic analysis on reductive p-adic groups. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pr

(Hardback, Second Edition)

Serves as a text for mathematics students at the intermediate graduate level. This book aims to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers.

(Paperback)

Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn). Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Car

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(Paperback)

(Hardback)

(Paperback)

This book is a sequel to Lectures on Complex Analytic Varieties: The Local Paranwtrization Theorem (Mathematical Notes 10, 1970). Its unifying theme is the study of local properties of finite analytic mappings between complex analytic varieties; these mappings are those in several dimensions that most closely resemble general complex analytic mappi

(Paperback)

Mathematical Notes, 29 Originally published in 1983. 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. These editions preserve the original texts of these important books while presenting them in durable paper

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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

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(Paperback)

Offers an account of Kiyosi Ito's program. This book offers an account of integral curves on the space of probability measures. It provides a systematic development of Ito's theory of stochastic integration: first for Brownian motion and then for continuous martingales.

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A collection of papers on mathematical aspects of nonlinear dispersive equations, including both expository and technical papers that reflect a number of advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis.

(Hardback)

Intensive research in matrix completions, moments, and sums of Hermitian squares has yielded a multitude of results. This book provides a comprehensive account of this area of mathematics and applications and gives complete proofs of solved problems.

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Includes fifteen articles which focus on the developments in complex analysis. This work covers a spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. It covers topics that include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, and more.

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This book develops a new theory of multi-parameter singular integrals associated with Carnot-Caratheodory balls. Brian Street first details the classical theory of Calderon-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Caratheodory geometry, where the main

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The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), will be forthcoming.

(Paperback)

Offers an explanation of the development and applications of non-standard analysis. This title treats in detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids.