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MATH 402 Hilbert Space Techniques 3 Credits
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.
Last Offered Terms Course Name SU Credit
Spring 2020-2021 Hilbert Space Techniques 3
Fall 2019-2020 Hilbert Space Techniques 3
Spring 2012-2013 Hilbert Space Techniques 3
Spring 2010-2011 Hilbert Space Techniques 3
Spring 2009-2010 Hilbert Space Techniques 3
Fall 2004-2005 Hilbert Space Techniques 3
Spring 2003-2004 Hilbert Space Techniques 3
Prerequisite: __
Corequisite: __
ECTS Credit: 6 ECTS (6 ECTS for students admitted before 2013-14 Academic Year)
General Requirements: