Course Catalog
MATH 402 Hilbert Space Techniques | 3 Credits | ||||||||||||||||||||||||
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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. | |||||||||||||||||||||||||
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Prerequisite: __ | |||||||||||||||||||||||||
Corequisite: __ | |||||||||||||||||||||||||
ECTS Credit: 6 ECTS (6 ECTS for students admitted before 2013-14 Academic Year) | |||||||||||||||||||||||||
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