@misc{Mher_Martirosyan_On,
 author={Mher Martirosyan and Davit Martirosyan},
 howpublished={online},
 publisher={National Academy of Sciences of Armenia},
 abstract={Ultimately aiming to estimate Dirichlet polynomials, a representation problem for special biorthogonal systems of exponentials is explored in \$L^2(0,a)\$. If \$a=+\infty\$, a method of construction of such systems through suitable Blaschke products is known, but the method ceases to operate when \$a\$ is finite. It turns out that the Blaschke product cannot be even adjusted to maintain the old method for the new situation. The biorthogonal system is then represented by a single determinant of a modified Gram matrix of the original system. Bernstein-type inequalities for Dirichlet polynomials and their higher order derivatives are established. The best constants and extremal polynomials are obtained in terms of the Gram matrix.},
 title={On Biorthogonalization of a Dirichlet System Over a Finite Interval},
 type={Article},
 keywords={Functions of a complex variable, Approximations and expansions, Fourier analysis},
}