Premium
Integral Representations of Linear Operators by Smooth Carleman Kernels of Mercer Type
Author(s) -
Novitskii Igor M.
Publication year - 1994
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-68.1.161
Subject(s) - mathematics , bilinear interpolation , fourier integral operator , linear operators , operator theory , bounded function , spectral theorem , type (biology) , mathematical analysis , pure mathematics , ecology , statistics , biology
We characterize the families of bounded linear operators on L 2 which are simultaneously unitarily equivalent to integral operators having smooth Carleman kernels representable by absolutely and uniformly convergent bilinear series and by uniformly convergent principal value integrals with respect to spectral functions.