At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.
"synopsis" may belong to another edition of this title.
Book Description Academic Press, New York, 1971. Hard Cover. Book Condition: Good. No Jacket. xvi-554pp. Index. This book has had a bit of reference use, but it has been covered neatly in contact since new and it is in good shape, with no evidence of who the previous owner was. Bookseller Inventory # 021750
Book Description Academic Pr, 1971. Book Condition: Good. Volume 1. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Bookseller Inventory # 5348742
Book Description Basel / Stuttgart, Birkhäuser Vlg., 1971. Hardcover/Leder. 553 S., mit zahlr. Abb., 24 cm, Guter Zustand / good condition. Sprache: Englisch Gewicht in Gramm: 1318. Bookseller Inventory # 560363
Book Description Academic Pr, 1971. Hardcover. Book Condition: Very Good. Dust Jacket Condition: Good. Volume 1: lightly crimped corner, otherwise text clean and tight; some wear and tear to dust jacket with sticker scar to front ; Pure and applied mathematics; a series of monographs and textbooks; 0 pages. Bookseller Inventory # 153610
Book Description Academic Pr, 1971. Hardcover. Book Condition: Good. Good Hard cover in dust jacket.Â Clean text -- NO writing, NO highlighting to text.Â DJ price-clipped at front & rear. DJ shows edgewear & rubbing. Good condition. Bookseller Inventory # mon0000115257
Book Description Academic Press, 1971. Hardcover. Book Condition: Good. Hardcover; Pure and Applied Mathematics; fading and light shelf wear to exterior; former owner's stamping on inside front board; otherwise contents in good condition with clean text, firm binding. Size: 24 cm. Bookseller Inventory # 56126
Book Description Birkhäuser, Basel, 1971. Okst. 553 S. Mathematische Reihe 40. Sprache: Englisch Gewicht in Gramm: 783. Bookseller Inventory # 98372