Fractal functions and Schauder bases

Z. Ciesielski

Banach Center Publications (1995)

  • Volume: 34, Issue: 1, page 47-54
  • ISSN: 0137-6934

How to cite


Ciesielski, Z.. "Fractal functions and Schauder bases." Banach Center Publications 34.1 (1995): 47-54. <>.

author = {Ciesielski, Z.},
journal = {Banach Center Publications},
keywords = {Hölder classes; box dimension; Haar bases; Schauder bases; fractal functions; fractal sets},
language = {eng},
number = {1},
pages = {47-54},
title = {Fractal functions and Schauder bases},
url = {},
volume = {34},
year = {1995},

AU - Ciesielski, Z.
TI - Fractal functions and Schauder bases
JO - Banach Center Publications
PY - 1995
VL - 34
IS - 1
SP - 47
EP - 54
LA - eng
KW - Hölder classes; box dimension; Haar bases; Schauder bases; fractal functions; fractal sets
UR -
ER -


  1. [C1] Z. Ciesielski, On the isomorphism of the space H α and m, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 8 (1960), 217-222. 
  2. [C2] Z. Ciesielski, Haar orthogonal functions in analysis and probability, in: Alfred Haar Memmorial Conference (Budapest, 1985), 25-56. Colloq. Math. Soc. János Bolyai 49, North Holland 1987. 
  3. [F] K. Falconner, Fractal Geometry, Mathematical Foundations and Applications. John Wiley & Sons Ltd. Chichester 1990. 
  4. [R] J. Ryll, Schauder bases for the space of continuous functions on an n-dimensional cube, Comment. Math. Prace Mat. 27 (1973), 201-213. 
  5. [Se] Z. Semadeni, Schauder Bases in Banach Spaces of Continuous Functions, Lecture Notes in Math. 918, Springer-Verlag Berlin 1982. Zbl0478.46014
  6. [Sh] A. S. Shvedov, Construction of functions by prescribing their values at binary-rational points of an m-dimensional cube. Mat. Zametki 44.2 (1988), 250-261; transl. in Math. Notes 44 (1988), 620-626. 

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