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Interpolation dyadique. (Dyadic interpolation). (French) Zbl 0645.42010

Fractals. Dimensions non entières et applications 1051, 44-55 (1987).
[For the entire collection see Zbl 0634.00002.]
We describe a new method of interpolation called dyadic interpolation. Under a very simple condition on the parameters, a Schwartz distribution is always associated with the fundamental function of the process. We give properties and applications of this interpolation.
Reviewer: G.Deslauriers

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
42A16 Fourier coefficients, Fourier series of functions with special properties, special Fourier series
65Q05 Numerical methods for functional equations (MSC2000)
47B37 Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

Citations:

Zbl 0634.00002