• The algebra of smooth functions of rapid descent 

      Oleche, Paul O.; Ongati, Naftali O.; Agure, John O. (2009)
      A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞ (V) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...
    • The algebra of smooth functions of rapid descent 

      Ongati, Naftali O.; Oleche, Paul O.; Agure, John O. (2009)
      A bounded operator with the spectrum lying in a compact set V ⊂ R, has C∞(V ) functional calculus. On the other hand, an operator H acting on a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...
    • Incremental modernization of statistics teaching and curriculum at Maseno University, Kenya 

      Stern, David; Ongati, Naftali O.; Agure, John O.; Ogange, Betty (ISI/IASE], 2010)
      Modernisation of statistics teaching is a continual problem the world over. The advances in statistical methods and tools along with the growing demand of applied practitioners creates a dual need of people with the ...
    • Operators with slowly growing resolvents towards the spectrum 

      Ongati, Naftali O.; Oleche, Paul O.; Agure, John O. (Academic Publications, 1/13/2009)
      A closed densely defined operator H, on a Banach space X, whose spectrum is contained in R and satisfies (z −H)−1 ≤ c hziα |=z|β ∀ z 6∈ R (0.1) for some α , β ≥ 0; c > 0, is said to be of (α, β)−type R . If instead of (0.1) ...