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  • Beijing Lectures in Harmonic Analysis. (AM-112)by Elias M. Stein

    Princeton University Press 2016; US$ 102.00

    Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations.... more...

  • Singular Integrals and Differentiability Properties of Functions (PMS-30)by Elias M. Stein

    Princeton University Press 2016; US$ 120.00

    Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most... more...

  • Harmonic Analysis (PMS-43)by Elias M. Stein

    Princeton University Press 2016; US$ 145.00

    This book contains an exposition of some of the main developments of the last twenty years 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, relations of curvature to maximal inequalities, and... more...

  • Real Analysisby Elias M. Stein; Rami Shakarchi

    Princeton University Press 2009; US$ 105.00

    Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This... more...

  • Complex Analysisby Elias M. Stein; Rami Shakarchi

    Princeton University Press 2010; US$ 105.00

    With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the... more...

  • Fourier Analysisby Elias M. Stein; Rami Shakarchi

    Princeton University Press 2011; US$ 105.00

    This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that... more...

  • Functional Analysisby Elias M. Stein; Rami Shakarchi

    Princeton University Press 2011; US$ 99.00

    This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis.... more...

  • Introduction to Fourier Analysis on Euclidean Spaces (PMS-32)by Elias M. Stein; Guido Weiss

    Princeton University Press 2016; US$ 125.00

    The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g.,... more...

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