We shall prove a type of Mardešić factorization theorem for extension theory over an arbitrary stratum of CW-complexes in the class of arbitrary compact Hausdorff spaces. Our result provides that the ...
In this note we shall generalize the Paley-Wiener theorem to self-adjoint operators similar to (−id/dx). By using a simple factorization result, it is shown that the Paley-Wiener theorem holds if Γ′(λ ...
Abstract: In his doctoral dissertation in 1797, Gauss proved the fundamental theorem of algebra, which states that any one-dimensional (1-D) polynomial of degree n with complex coefficients can be ...
Abstract: Factorization is one of the most important problems in the theory of numbers and a modern asymmetric cryptography. Known methods of factorization are quite cumbersome; therefore, require ...