Self Adjoint Operators
Mostrando 13-14 de 14 artigos, teses e dissertações.
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13. Theoretical foundations of the chronometric cosmology
The derivation of the redshift (z)-distance (r) relation in the chronometric theory of the Cosmos is amplified. The basic physical quantities are represented by precisely defined self-adjoint operators in global Hilbert spaces. Computations yielding explicit bounds for the deviation of the theoretical prediction from the relation z = tan2(r/2R) (where R deno
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14. Spectral theory for domains in Rn of finite measure
Let Ω be a measurable subset of Rn of finite positive Lebesgue measures. The following two problems are considered: (i) Find commuting self-adjoint extensions of the minimal operators -i∂/∂xk, k = 1,..., n (Ω open). (ii) Find a set Λ ⊂ Rn such that the functions eλ = exp(iλ1x1 +... + iλnxn) for λ ∈ Λ form an orthonormal basis for L2(Ω). The