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// Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
// Archive
Proceedings of the YSU, Physical and Mathematical Sciences,
2004
Issue 2,
Pages
3–6
(Mi uzeru476)
Mathematics
On the inversibility of some Furier type integral operators
I. G. Khachatryan
Chair of differential equations, YSU, Armenia
Abstract:
The paper considers in the space
$L^2(0, \infty)$
a Fourier type integral operator
$U$
, which arise in the inverse problem of the quantum scattering theory. It is proved, that either operator
$U$
or its conjugate
$U^*$
is invertible.
UDC:
517.53
Received:
11.06.2003
Accepted:
20.11.2003
Fulltext:
PDF file (248 kB)
References
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