fourier series modern introduction volume de edwards robert edmund (1 résultats)

Hardcover. Etat : Very Good. Etat de la jaquette : Good+. 1st Edition. A modern presentation of Fourier series which uniquely does not emphasize point-wise convergence and summability nor trigonometric series in general form. The principal aim of this book has been to provide an introduction, barely more, to some aspects of Fourier series and related topics liberally using modem techniques. This guides the reader toward problems of current interest in harmonic analysis generally. The use of modem concepts and techniques is as wide­ spread as was deemed to be compatible with a presentation that is aimed toward senior undergraduates and beginning graduate students. Presentation is designed as preparation for material in Rudin's "Harmonic Analysis on Groups" and the 1971 second volume of Hewitt and Ross's "Abstract Harmonic Analysis." The emphasis on modem techniques and outlook has affected not only the type of arguments favored, but also to a considerable extent the choice of material. Above all, it has led to a minimal treatment of point-wise convergence and summability: as is argued in Chapter 1, Fourier series are not necessarily seen in their best or most natural role through "pointwise-tinted spectacles." Volume I was designed to provide material of a one semester course in the subject. Robert Edmund Edwards (1926?2000), usually cited simply as R. E. Edwards, was a British-born Australian mathematician who specialized in functional analysis. He is the author of several volumes (including 2nd Edition of this title) in Springer's Graduate Texts in Mathematics. Hardcover with tan and black cloth boards with B&W lettering on front & spine in good dust jacket with design matching covers. Dust Jacket has closed tears, good condition. Interior is tight, clean and unmarked except for ownership stamp of individual on rfep. Near Fine text. Copyright 1967. Full print-line indicates 1st printing. Printed in U.S.A. HRW catalog: 262003. No ISBN. LCCN: 67-11745. No MSR.