caa a22 4500 386385602 CHVBK 20180307112057.0 cr unu---uuuuu 161130e198905 xx s 000 0 eng 10.1017/S0305004100077860 doi S0305004100077860 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100077860 Properties of Littlewood-Paley sets [Elektronische Daten] We give a combinatorial characterization of the known examples of intervals of ℤ having the Littlewood-Paley (LP) property. This leaves an interesting open problem. We also note that certain previously known necessary conditions are equivalent, and give two examples of intervals which are not LP but whose endpoints form thin sets (e.g. Sidon or Λ(p) for all p < ∞). Copyright © Cambridge Philosophical Society 1989 Hare Kathryn E. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Klemes Ivo Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 2K6, Canada Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 485-494 0305-0041 105:3<485 1989 105 PSP https://doi.org/10.1017/S0305004100077860 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100077860 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hare Kathryn E. Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada NATIONALLICENCE 700 1- Klemes Ivo Department of Mathematics and Statistics, McGill University, Montreal, Quebec H3A 2K6, Canada NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 105/3(1989-05), 485-494 0305-0041 105:3<485 1989 105 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge