query: Haar measure on $G \rtimes_\phi H$
positive_passages.docid: 142550
positive_passages.text: Haar Measure on Semidirect Product of Unimodular Groups
negative_passages.docid: 42355
negative_passages.text: Double check $G\sim H$ iff $G≈H$
negative_passages.docid: 16692
negative_passages.text: a representation condition of Hilbert space
negative_passages.docid: 128256
negative_passages.text: How to prove $H_1(\mathbb{C}/\Lambda, \mathbb{Z})$ to the lattice $\Lambda$ ,$\gamma \mapsto \int_\gamma dz$ is well defined?
negative_passages.docid: 98098
negative_passages.text: Show that $\mu_{F}$ is a measure on $(\mathbb{R},\mathcal{S})$.
negative_passages.docid: 129170
negative_passages.text: Deriving the expectation of $[\hat X,\hat H]$
negative_passages.docid: 37206
negative_passages.text: $\mathbb{R}^n\times\{0\}$ has measure zero in $\mathbb{R}^{n+1}$
negative_passages.docid: 53425
negative_passages.text: Prove that there exists a Borel measurable function $h: \mathbb R \to \mathbb R$ such that $g= h\circ f$.
negative_passages.docid: 124844
negative_passages.text: Show that $\phi \circ f$ belongs to $L_p$ for each $f \in L_p$
negative_passages.docid: 16048
negative_passages.text: Approximating a $\sigma$-algebra by a generating algebra
negative_passages.docid: 17191
negative_passages.text: How to verify $H\otimes K \cong \bigoplus\limits_{i\in I}H$
negative_passages.docid: 108785
negative_passages.text: Generalized Second Borel-Cantelli lemma
negative_passages.docid: 124335
negative_passages.text: An identity for Fourier transform of measure
negative_passages.docid: 127663
negative_passages.text: Haar measure from axis-angle representation of $SO(3)$
negative_passages.docid: 3023
negative_passages.text: Construction of a Borel set with positive but not full measure in each interval
negative_passages.docid: 118353
negative_passages.text: For set of positive measure $E$, $\alpha \in (0, 1)$, there is interval $I$ such that $m(E \cap I) > \alpha \, m(I)$
negative_passages.docid: 52301
negative_passages.text: Omitting the hypotheses of finiteness of the measure in Egorov theorem