Fractal functions and Schauder bases

• Autorzy: Z. Ciesielski
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1995
• Tom: 34
• Numer: 1
• Strony: 47-54

Daty

wydano

1995

Twórcy

autor

Z. Ciesielski

• Instytut Matematyczny PAN, Abrahama 18, 81-825 Sopot, Poland

Bibliografia

• [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.
• [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.
• [F] K. Falconner, Fractal Geometry, Mathematical Foundations and Applications. John Wiley & Sons Ltd. Chichester 1990.
• [R] J. Ryll, Schauder bases for the space of continuous functions on an n-dimensional cube, Comment. Math. Prace Mat. 27 (1973), 201-213.
• [Se] Z. Semadeni, Schauder Bases in Banach Spaces of Continuous Functions, Lecture Notes in Math. 918, Springer-Verlag Berlin 1982.
• [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.