On the asymptotic formulae for the spectral matrix of a differential operator

N K CHAKRAVARTY

Abstract


In the present paper we obtain certain asymptotic formula for the spectral matrix of a self-adjoint second-order differential system We base our derivation of the formula on a Tauberian theorem due to N. Wiener.

Keywords


Spectral matrix; isometric mapping; null and C-Fourier transforms; Cauchy-type equations; Riemann matrix function; majorize; convolution; Wiener's Tauberian theorem.

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