Course Details
Country:
Spain
Institution:
Universidad Carlos III de Madrid
Course Title:
Applied functional analysis
Course Number:
18281
Course Description:
1. Infinite dimensional vector spaces: Banach and Hilbert spaces. 2. Geometry of Hilbert spaces. 3. Orthonormal bases and Fourier analysis. 4. The problem of best approximation and other applications. 5. Linear operators on Hilbert spaces. 6. Self-adoint and unitary operators on Hilbert spaces: The Fourier transform. 7. The spectral theorem. 8. Applications to signal theory: sampling. 9. Applications to physical theories: quantum mechanics. 10. Applications to numerical analysis: Sobolev spaces.
Language:
English
Approved Equivalent:
Pending For Approval
Course URL:
https://aplicaciones.uc3m.es/cpa/cpa/generaFichaPDF?ano=2024&plan=433&asignatura=18281&idioma=2
Attachment Files:
