caa a22 4500 475839854 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1004892412210 doi (NATIONALLICENCE)springer-10.1023/A:1004892412210 Jones D.S. Department of Mathematics, The University, DD1 4HN, Dundee, Scotland aut Singularities of Fourier transforms: A tribute to M. J. Lighthill [Elektronische Daten] [D.S. Jones] Some singular generalised functions of several variables are introduced and their properties described. They are used to support some general theorems to the effect that (a) the singularities of a generalised function are responsible for the behaviour of its Fourier transform at infinity and (b) the behaviour of a generalised function at infinity determines the singularities of its Fourier transform. Kluwer Academic Publishers, 2000 generalised functions nationallicence distributions nationallicence integral transforms nationallicence asymptotics nationallicence Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 439-470 0022-0833 38:4<439 2000 38 10665 https://doi.org/10.1023/A:1004892412210 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004892412210 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Jones D.S. Department of Mathematics, The University, DD1 4HN, Dundee, Scotland aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/4(2000-11-01), 439-470 0022-0833 38:4<439 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer