𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A characterization of uniformly bounded cosine functions generators

✍ Scribed by Ioana Cioranescu; Pedro Ubilla


Publisher
SP Birkhäuser Verlag Basel
Year
1989
Tongue
English
Weight
315 KB
Volume
12
Category
Article
ISSN
0378-620X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Bases Consisting of Rational Functions o
✍ Pencho Petrushev 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 347 KB

We prove in this paper the existence of a Schauder basis for C[0, 1] consisting of rational functions of uniformly bounded degrees. This solves an open question of some years standing concerning the possible existence of such bases. This result follows from a more general construction of bases on R

Uniformly continuous superposition opera
✍ Janusz Matkowski 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB

## Abstract Let __I__, __J__ ⊂ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ × __J__ → ℝ, __H__ (__φ__)(__x__) ≔ __h__ (__x__, __φ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,