# Tagged Questions

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### $L^{2}$ convergence should imply convergence in infinity norm

My situation is the following: suppose we have a Lie group $G=G_{1} \times G_{2}$ and let $X = \Gamma \backslash G$ a homogeneous space arising from a lattice, i.e. we have a $G$ invariant ...
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### Integrating over a flag manifold

I need to calculate an integral over the flag manifold $U(4)/U(1)\times U(1)\times U(1)\times U(1)=U(4)/T^4$. How can I derive the correct Haar measure to use?
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### decomposition of Haar measure and Fubini theorem

Let $G$ have a unique decomposition $G=AB$, where $G,A,B$ are linear Lie groups with $G,A$ unimodular. Suppose we have Haar measure decomposition $dg=dad_rb$ where $d_rb$ is the right Haar measure on ...
### Performing integration over $U(d)$
Is there any more or less efficient way to integrate a function (not necessarily a polynomial) over $U(d)$?
Given the formula $$F(x)= \sum_{n=-\infty}^{\infty}f(x+n)$$ We know that is invariant under translations of the form $y=x+n$ for any integer $n$. However can we find a similar formula for dilations ...