Difference functions of periodic measurable functions
Fundamenta Mathematicae (1998)
- Volume: 157, Issue: 1, page 15-32
- ISSN: 0016-2736
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] M. Balcerzak, Z. Buczolich and M. Laczkovich, Lipschitz differences and Lipschitz functions, Colloq. Math. 72 (1997), 319-324. Zbl0877.26004
- [2] N. K. Bary, Trigonometric Series, Fizmatgiz, Moscow, 1961 (in Russian); English transl.: A Treatise on Trigonometric Series, Macmillan, New York, 1964.
- [3] N. G. de Bruijn, Functions whose differences belong to a given class, Nieuw Arch. Wisk. 23 (1951), 194-218. Zbl0042.28805
- [4] N. G. de Bruijn, A difference property for Riemann integrable functions and for some similar classes of functions, Indag. Math. 14 (1952), 145-151. Zbl0047.06202
- [5] L. Bukovský, N. N. Kholshchevnikova and M. Repický, Thin sets of harmonic analysis and infinite combinatorics, Real Anal. Exchange 20 (1994-1995), 454-509. Zbl0835.42001
- [6] B. Host, J-F. Méla and F. Parreau, Non singular transformations and spectral analysis of measures, Bull. Soc. Math. France 119 (1991), 33-90. Zbl0748.43001
- [7] S. Kahane, Antistable classes of thin sets in harmonic analysis, Illinois J. Math. 37 (1993), 186-223. Zbl0793.42003
- [8] T. Keleti, On the differences and sums of periodic measurable functions, Acta Math. Hungar. 75 (1997), 279-286. Zbl0929.26002
- [9] T. Keleti, Difference functions of periodic measurable functions, PhD thesis, Eötvös Loránd University, Budapest, 1996 (http://www.cs.elte.hu/phd_th/). Zbl0910.28003
- [10] T. Keleti, Periodic functions with difference functions, Colloq. Math. 76 (1998), 99-103. Zbl0896.26005
- [11] T. Keleti, Periodic functions with difference functions, Real Anal. Exchange, to appear. Zbl0943.28002
- [12] M. Laczkovich, Functions with measurable differences, Acta Math. Acad. Sci. Hungar. 35 (1980), 217-235. Zbl0468.28006
- [13] M. Laczkovich, On the difference property of the class of pointwise discontinuous functions and some related classes, Canad. J. Math. 36 (1984), 756-768. Zbl0564.39001
- [14] M. Laczkovich and Sz. Révész, Periodic decompositions of continuous functions, Acta Math. Hungar. 54 (1989), 329-341.
- [15] M. Laczkovich and I. Z. Ruzsa, Measure of sumsets and ejective sets I, Real Anal. Exchange 22 (1996-97), 153-166.
- [16] W. Sierpiński, Sur les translations des ensembles linéaires, Fund. Math. 19 (1932), 22-28.
- [17] A. Zygmund, Trigonometric Series, Vols. I-II, Cambridge Univ. Press, 1959.