Skip to main content

All Questions

Filter by
Sorted by
Tagged with
-1 votes
2 answers
409 views

$X$ is Polish and $N$ is countable. Is $N^X$ Polish? [closed]

$X$ is a separable, completely metrizable topological space equipped with its sigma algebra of Borel sets. $N$ is a countable space. $X^N$ is the collection of all mappings from $N$ to $X$. It is ...
High GPA's user avatar
  • 263
-2 votes
1 answer
314 views

Series representation for $\log(|\zeta(\frac{1}{2}+it)|)$

(Question is short and straight-forward. ) What is/are "nice and non-trivial" series representation/s of $\log(|\zeta(\frac{1}{2}+it)|)$ ?? By "nice and non-trivial" I mean contains no ...
bambi's user avatar
  • 375
-3 votes
1 answer
76 views

Minimal norm problem with linear combination of translation operator to be estimated

Follow up question from this one Suppose $X = L^2(G)$, where $G$ is some locally compact group. Let $x, y \in G$ I for fixed $n$ I am seeking for an operator $H \in B(X)$ of the form $$ H = H(\alpha_1,...
user8469759's user avatar
-4 votes
2 answers
530 views

Inverse square-law as a positive definite kernel?

Newtons law for gravity states that: $$F_{12} = \frac{G m_1 m_2} {|x_1-x_2|^2}$$ The function : $$k(x,y):=\exp(-| x-y|^2)$$ is known to be a positive definite function, called the RBF-kernel. It ...
mathoverflowUser's user avatar

1
20 21 22 23
24