- #1
thegreenlaser
- 525
- 16
I'd like to see if/how the spectral theorem(s) can be used to derive a range of mathematical techniques used in electrical engineering/physics:
Are there any books that go through this sort of thing? I've read Kreyszig's functional analysis book, which gave me a decent introduction to the subject, but I felt like it wasn't quite deep enough. I still can't fully see how to get from the spectral theorem to all the things I listed above. Any help is appreciated...
- (Generalized) Fourier series
- Fourier transforms
- Laplace transforms
- Green's functions
- Sturm-Liouville problem solution method
- Dirac notation QM
- etc.
Are there any books that go through this sort of thing? I've read Kreyszig's functional analysis book, which gave me a decent introduction to the subject, but I felt like it wasn't quite deep enough. I still can't fully see how to get from the spectral theorem to all the things I listed above. Any help is appreciated...