UDC 517.988
HERMIT–BIRKHOFF INTERPOLATION POLYNOMIAL
OF MINIMUM NORM IN HILBERT SPACE
Abstract. The Hermite–Birkhoff interpolation problem for a nonlinear operator in the Hilbert space is considered.
For this problem, the theorem on the interpolation polynomial of minimum norm generated by a scalar product
with a Gaussian measure is proved. It is shown that such interpolant is unique.
Keywords: Hermit–Birkhoff interpolation polynomial, Gato differential, Hilbert space, minimum norm.
FULL TEXT
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