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math.SP2018★ 1 cited
Resolvent of the generator of the -group with non-basis family of eigenvectors and sharpness of the XYZ theorem
Grigory M. Sklyar, Vitalii Marchenko
The paper presents an explicit form of the resolvent for the class of generators of -groups with purely imaginary eigenvalues, clustering at , and complete minimal no…
math.SP2014
Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors
Grigory M. Sklyar, Vitalii Marchenko
Some special Hilbert spaces are introduced to present the class of infinitesimal operators with complete minimal non-basis family of eigenvectors. The discrete Hardy inequality pla…