| Title:
             | 
On a set in ${\mathbbm R}^n$ under coordinate transformations (English) | 
| Author:
             | 
Miller, Harry I. | 
| Author:
             | 
Pal, Mukul | 
| Language:
             | 
English | 
| Journal:
             | 
Časopis pro pěstování matematiky | 
| ISSN:
             | 
0528-2195 | 
| Volume:
             | 
109 | 
| Issue:
             | 
3 | 
| Year:
             | 
1984 | 
| Pages:
             | 
225-235 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
26B10 | 
| idZBL:
             | 
Zbl 0561.26009 | 
| idMR:
             | 
MR755586 | 
| DOI:
             | 
10.21136/CPM.1984.108436 | 
| . | 
| Date available:
             | 
2009-09-23T09:26:14Z | 
| Last updated:
             | 
2020-07-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/108436 | 
| . | 
| Reference:
             | 
[1] T. Apostol: Mathematical Analysis, second edition.Addison-Wesley, Reading Massachusetts, 1974. MR 0344384 | 
| Reference:
             | 
[2] P. Billingsley: Ergodic Theory and Information.Wiley, New York, 1965. Zbl 0141.16702, MR 0192027 | 
| Reference:
             | 
[3] P. Billingsley: Measure and Probability.Wiley, New York, 1979. MR 0534323 | 
| Reference:
             | 
[4] J. P. Kahane: Some Random Series of Functions.Heath, Lexington Massachusetts, 1968. Zbl 0192.53801, MR 0254888 | 
| Reference:
             | 
[5] S. Kurepa: Note on the difference set of two measurable sets in ${\mathbb R}^n.Glasnik Mat. 15 (1960), 99-105. MR 0124456 | 
| Reference:
             | 
[6] S. Kurepa: On transformations of measurable sets in $E^n$.Glasnik Mat. 20 (1965), 235-242. MR 0202972 | 
| Reference:
             | 
[7] H. I. Miller: On a paper of Saha and Ray.Publ. Inst. Math. 27 (41) (1980), 175- 178. Zbl 0472.28003, MR 0621949 | 
| Reference:
             | 
[8] H. I. Miller: On transformations of sets in ${\mathbb R}^n$.Čas. pěst. mat. 106 (1981), 422-430. MR 0637823 | 
| Reference:
             | 
[9] T. Neubrunn T. Saldt: Distance sets, ration sets and certain transformations of set of real numbers.Čas. pěst. mat. 94 (1969), 381-393. MR 0257309 | 
| Reference:
             | 
[10] M. Pal: On certain transformations of sets in RN.Acta Facult. Rerum Nat. Univ. Comenianae Mathematica, XXIX (1974), 43-53. MR 0377024 | 
| Reference:
             | 
[11] S. Piccard: Sur les ensemble de distances des ensembles de points d'un espace Euclidean.Neuchatel, 1933. | 
| Reference:
             | 
[12] H. Steinhaus: Sur les distances des points des ensembles de measure positive.Fund. Math. 1 (1920), 93-104. | 
| . |