Where can I read more about generalized Fourier Analysis?
I know about Fourier series on Hilbert Spaces, Fourier Transforms, and all that jazz for [math] L^2(\mathbb{R})[/math] functions, but I'd like to know how it works for more general spaces. I'm specifically interested in Fourier Analysis on the [math]d[/math]-dimensional torus [math]\mathbb{T}^d[/math].
Tolstov my man. Read him in high school and he's stayed with me ever since. Plus it's a dover text so it's cheap
>>9067661
This deals with Fourier analysis on the (discrete) torus as well?
>>9067647
An Introduction to Abstract Harmonic Analysis Loomis
>>9067745
Sounds interesting. I'm going to order this book man, thanks.
>>9067754
it's free https://ia600309.us.archive.org/10/items/introductiontoab031610mbp/introductiontoab031610mbp.pdf
>>9067777
I'm not piss poor like you so I can afford a book.
Thank you anyway.
>>9067843
This is not me.