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Results tagged with operator-theory
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user 8135
Spectrum, resolvent, numerical range, functional calculus, operator semigroups. Special classes of operators: compact, Fredholm, dissipative, differential, integral, pseudodifferential, etc.
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votes
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answer
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Integral operator with Bessel kernel
For $x,y\ge 0$, let
$$
k(x,y)= \frac {J_1(2\sqrt{xy})}{\sqrt{xy}},
$$
where $J_1$ is the the Bessel function of the first kind
$$
J_{1}(z)=\sum_{k=0}^{\infty}(-1)^{k} \frac{\left(\frac{z}{2}\right)^{2 …
- 650