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.

Rese�a del editor:

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.

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Anbieterinformationen

Second hand books

Zur Homepage des Verk�ufers

Unternehmensdaten des Verk�ufers

Stephen White Books
United Kingdom

Gesch�ftsbedingungen:

I can accept payments from credit/debit cards only through the abebooks website, I cannot process them over the phone unfortunately.

Business Information:

Owner: Stephen White (Sole Trader)

Business Address:
Stephen White Books
Albion Mills, Albion Road
Bradford
BD10 9TQ
United Kingdom

VAT Number - GB127541913

Email - info@stephenwhitebooks.co.uk
Phone - 01274 921 518

Versandinformationen:

Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.

Zahlungsarten
akzeptiert von diesem Verk�ufer

Zu Kaufgesuchen hinzuf�gen

Verwandte Artikel zu Fourier Analysis and Approximation: One Dimensional...

Fourier Analysis and Approximation: One Dimensional Theory (Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften)

Trebels,Nessel,Butzer, Paul

Gebraucht - Hardcover

Unternehmensdaten des Verk�ufers