caa a22 4500 465809693 CHVBK 20180323112112.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02887293 doi (NATIONALLICENCE)springer-10.1007/BF02887293 Special cases of the regularisation of the conformal inversion transform by Cesàro summability [Elektronische Daten] [C. Basili, E. Etim, M. Pallotta] Summary: Hankel transforms are representations of the conformal inversion operator in Hilbert space. Their action on eigenfunctions of the dilatation operator exists and is consistent, however, only in the sense of analytically regularised integrals. Special cases of this action reduce to Fourier transforms, more specifically to sine and cosine transforms, of these eigenfunctions. These transforms are, in general, not Cauchy-convergent. It is shown here that they may be analytically regularised by Cesàro summability. Società Italiana di Fisica, 1990 Miscellaneous theoretical ideas and models nationallicence Basili C. Laboratori Nazionali, INFN, Frascati (Roma) aut Etim E. Laboratori Nazionali, INFN, Frascati (Roma) aut Pallotta M. Laboratori Nazionali, INFN, Frascati (Roma) aut Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/12(1990-12-01), 1681-1692 103:12<1681 1990 103 40763 https://doi.org/10.1007/BF02887293 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02887293 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Basili C. Laboratori Nazionali, INFN, Frascati (Roma) aut NATIONALLICENCE 700 1- Etim E. Laboratori Nazionali, INFN, Frascati (Roma) aut NATIONALLICENCE 700 1- Pallotta M. Laboratori Nazionali, INFN, Frascati (Roma) aut NATIONALLICENCE 773 0- Il Nuovo Cimento A (1965-1970) Società Italiana di Fisica 103/12(1990-12-01), 1681-1692 103:12<1681 1990 103 40763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer