APPROXIMATION OF ABSTRACT FUNCTIONS WITH VALUES IN THE HILBERT SPACE,
GENERAL DYNAMICS/ASTRONAUTICS SAN DIEGO CALIF
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The report describes the problem of finding the polynomial which deviates least from the given abstract function, that is, a polynomial for which the best approximation is obtained. This problem is a natural generalization of Chebyshevs problem of approximating real functions by real polynomials, approximating complex functions by complex polynomials, and vector functions with values in a finite-dimensional unitary space by vector polynomials.
- Theoretical Mathematics