2 papers
math.FA2023
On positive fixed points of operator of Hammerstein type with degenerate kernel and Gibbs Measures
I. M. Mavlonov, Kh. N. Khushvaktov, G. P. Arzikulov +1
From \cite{re} From \cite{re} it is known that ``translation-invariant Gibbs measures" of the model with an uncountable set of spin values can be described by positive fixed points…
math.FA2015
Spectrum of partial integral operators with degenerate kernel
Y. K. Eshkavilov, G. P. Arzikulov, F. H. Haydarov
In the paper we consider self-adjoint partial integral operators of Fredholm type with a degenerate kernel on the space Essential and discrete spectra…