BGA
Reputation
Next privilege 250 Rep.
10
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### Questions (11)

 11 Is $\int_0^\infty \left (\int_0^\infty f(k) k \sin kr \, \mathrm dk \right) \mathrm dr = \int_0^\infty f(k) \, \mathrm dk$ correct? 9 Conjecture: the function $d(x, y):=\frac{||x-y||}{\max(||x||, ||y||)}$ is a distance 6 What is the closure of the Laplacian on $L^2(0, \infty)$ with domain $D(\Delta):=C^\infty_0(0, \infty)$? 6 Does the quotient manifold inherit the Riemannian structure? 5 Prove the equation: $\frac{2}{\pi} \int_0^\infty \frac{\cos kr - ak \sin kr}{k^2a^2 +1} \ldots$

### Reputation (171)

 +5 A conjecture about lines and points in the plane +5 Structure of the space $X:=\{x \subset \mathbb{R}^3: |x| < \infty\}$, where $|x|$ is the cardinality of $x$ +5 A problem relative to skew-symmetric bilinear forms +5 Does the quotient manifold inherit the Riemannian structure?

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### Tags (15)

 0 functional-analysis × 3 0 measure-theory 0 fourier-analysis × 2 0 riemannian-geometry 0 integration × 2 0 spectral-theory 0 metric-spaces × 2 0 stochastic-processes 0 linear-algebra × 2 0 lebesgue-measure

### Accounts (2)

 Mathematics 171 rep 10 MathOverflow 94 rep 4