Baruh H and Tadikonda SSK (1989) Another look at admissi- ble functions. Journal of Sound and Vibration 132(1): 73-87.Baruh, H., & Tadikonda, S. S. K., 1989, Another look at admissible functions, vol. 132, n. 1, Journal of Sound and Vibration, pp. 73-87....
If X denotes the set of continuous curves (defined on a closed interval), then all the words are admissible: T (X) = {0, 1}∗ (or T (X) = {r, u, l, d}∗ if we deal with curves going in all directions). Proof. Given a word w, it suffices to construct a curve γ ...
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This method extends the invariance principle to a larger class of admissible functions. In particular, admissible functions need not be monotonic on any interval.doi:10.1007/s00220-002-0747-7Jingbo XiaDepartment of Mathematics State University of New York at Buffalo Buffalo NY 14260 USA. E-mail:...