The reader is assumed to know the elementary part of complex funCtion theory, general topology, integration, and linear spaces. All the needed information is contained in a usual first-year graduate course on analysis. These prerequisites are modest but essential. To be sure there is a big gap between learning the Banach-Steinhaus theorem, for example, and applying it to a real problem. Filling that gap is one of the objectives of this book. It is a natural objective, because integration theory and functional analysis to a great extent developed in response to the problems of Fourier series! The exposition has been condensed somewhat by relegating proofs of some technical points to the problem sets. Other problems give results that are needed in subsequent sections; and many problems simply present interesting results of the subject that are not otherwise covered. Problems range in difficulty from very simple to very hard. The system of numeration is simple: Sec. 3. 2 is the second section of Chapter 3. The second section of the current chapter is Sec. 2. Formula (3. 2) is the second formula of Sec. 3, of the current chapter unless otherwise mentioned. With pleasure I record the debt to my notes from a course on Real Variables given by R. Salem in 1945. I wish to thank R. Fefferman, Y. Katznelson, and A. 6 Cairbre for sympathetic criti cism of the manuscript. Mr. Carl Harris of the Addison-Wesley Publishing Company has been most helpful in bringing the book to publication.

The Operator Theory conferences, organized by the Department of Mathematics of INCREST and the University of Timi~oara, are conceived as a means to promote cooperation and exchange of information between specialists in all areas of operator theory. This volume consists of a careful selecGBPion of papers contributed by the participants of the 1986 Conference. They reflect most of the topics dealt with by the modern operator theory, including recent advances in dual operator algebras and the fnvariant subspace problem, operators in indefinite metric spaces, hyponormal, quasi triangular and decomposable operators, various problems in C*- and W*-algebras and so on. The research contracts of the Department of Mathematics of INCREST with the National Council for Science and Technology of Romania provided the means for developing the research activity in mathematics; they represent the generous framework of these meetings, too. It is our pleasure to acknowledge the financial support of UNESCO which also contributed to the success of this meeting. We are indebted to Professor Israel Gohberg for including these Proceedings in the OT Series and for valuable advice in the editing process. Birkhiiuser Verlag was very cooperative in publishing this volume. Camelia Minculescu, Iren Nemethi and Rodica Stoenescu dealt with the dif- ficult task of typing the whOle manuscript using a Rank Xerox 860 word processor; we thank them for the excellent job they did.

Commenced in 1958 with 142 young women who were seniors at Mills College, the Mills Study has become the largest and longest longitudinal study of women's adult development, with assessments of these women in their twenties, forties, fifties, sixties, and seventies. Women on the River of Life synthesizes five decades of research to paint a picture of women's personality and development across the lifespan. The book explores questions of family, work, life-path, maturity, wisdom, creativity, attachment, and purpose in life, unfolding in the context of a rapidly changing historical period with far-reaching consequences for the kinds of lives women would envision for themselves. Helson and Mitchell breathe life into abstract theories and concepts with the real-life stories and voices of the study's participants. Woven throughout the book are the authors' reminiscences on the profound endeavor of sustaining a longitudinal study of women's lives through time.

This second edition has been enlarged and considerably rewritten. Among the new topics are infinite product spaces with applications to probability, disintegration of measures on product spaces, positive definite functions on the line, and additional information about Weyl's theorems on equidistribution. Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem. Readers of the book should have studied the Lebesgue integral, the elementary theory of analytic and harmonic functions, and the basic theory of Banach spaces. The treatment is classical and as simple as possible. This is an instructional book, not a treatise. Mathematics students interested in analysis will find here what they need to know about Fourier analysis. Physicists and others can use the book as a reference for more advanced topics.

Commenced in 1958 with 142 young women who were seniors at Mills College, the Mills Study has become the largest and longest longitudinal study of women's adult development, with assessments of these women in their twenties, forties, fifties, sixties, and seventies. Women on the River of Life synthesizes five decades of research to paint a picture of women's personality and development across the lifespan. The book explores questions of family, work, life-path, maturity, wisdom, creativity, attachment, and purpose in life, unfolding in the context of a rapidly changing historical period with far-reaching consequences for the kinds of lives women would envision for themselves. Helson and Mitchell breathe life into abstract theories and concepts with the real-life stories and voices of the study's participants. Woven throughout the book are the authors' reminiscences on the profound endeavor of sustaining a longitudinal study of women's lives through time.