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math.CA2017
A Generalized Function defined by the Euler first kind integral and its connection with the Dirac delta function
Vagner Jikia, Ilia Lomidze
We have shown that in some region where the Euler integral of the first kind diverges, the Euler formula defines a generalized function. The connected of this generalized function…
math.CA2016
Symbolic estimation of distances between eigenvalues of Hermitian operator
Ilia Lomidze, Natela Chachava
We find out a method for symbolic estimation of a minimal (maximal) distance between eigenvalues of a Hermitian matrix (or roots of a polynomial with real (maybe degenerated) roots…