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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

4 votes
1 answer
150 views

Modular S transformation on higher order $\vartheta$-functions using Poisson summation

I am trying to understand the action of a modular S transformation on a $\vartheta$-function. To do this for the problem I'm considering I first need to understand the following. Given a $\vartheta$ …