Some Results on ω-Derivatives and BV-ω Functions

Some results on a generalized ω-Jacobi transform

New algorithm for solving variational problems in W (Ω) and BV (Ω): Application to image restoration

We propose a new unifying method for solving variational problems defined on the Sobolev spaces W (Ω) or on the space of functions of bounded variations BV (Ω) (Ω ⊂ R ). The method is based on a recent new characterization of these spaces by Bourgain, Brezis and Mironescu (2001), where norms can be approximated by a sequence of integral operators involving a differential quotient and a suitable...

Ideals over ω 2 and combinatorical principles on ω 1

An ideal I over Pκλ is said to be σ-strategically closed, proper or semiproper if the corresponding poset PI is σ-strategically closed, proper or semiproper, respectively. In this note we prove the following: • If there exists a σ-strategically closed, fine and κ-complete ideal over Pω2λ for some λ ≥ ω2 then ♦ω1 holds. • If there exists a proper, fine and κ-complete ideal over Pω2λ for some λ ≥...

On the Generative Power of ω-Grammars and ω-Automata

An ω-grammar is a formal grammar used to generateω-words (i.e. infinite length words), while an ω-automaton is an automaton used to recognize ω-words. This paper gives clean and uniform definitions for ω-grammars and ω-automata, provides a systematic study of the generative power of ω-grammars with respect to ω-automata, and presents a complete set of results for various types of ω-grammars and...

On Arcs and Ω

The gravitational lens effect of galaxy clusters can produce large arcs from source galaxies in their background. Typical source redshifts of ∼ 1 require clusters at z ∼ 0.3 for arcs to form efficiently. Given the cluster abundance at the present epoch, the fewer clusters exist at z ∼ 0.3 the higher Ω 0 is, because the formation epoch of galaxy clusters strongly depends on Ω 0. In addition, at ...