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MATH 402 Hilbert Space Techniques
Inner product, Hilbert space, examples, orthogonal expansions. Classical Fourier series; The Fejer kernel, Fejer's theorem, Parseval's formula, Weierstrass approximation theorem. Dual space, the Riesz-Frechet theorem. Linear operators, multiplication operators and infinite operator matrices, compact Hermitian and Hibert-Schmidt operators and the spectral theorem. Applications.
SU Credits : 3.000
ECTS Credit : 6.000
Prerequisite : -
Corequisite : -