We present a new inversion formula for the classical, finite, and asymptotic Laplace transform f̂ of continuous or generalized functions f . The inversion is given as a limit of a sequence of finite linear combinations of exponential functions whose construction requires only the values of f̂ evaluated on a Müntz set of real numbers. The inversion sequence converges in the strongest possible sens...

We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c0(Γ). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c0(Γ), all isomorphism between subspaces of C(K) of size less than אω extend to automorphisms of C(K).

Let Ω be an open convex domain of C. We study constants K such that Ω is K-spectral or complete K-spectral for each continuous linear Hilbert space operator with numerical range included in Ω. Several approaches are discussed.

Recall the following notation. Let F be either R or C. Let GF = GL2(F) and K be a maximal compact, so K = O(2, R) in the case F = R and U(2) in the case F = C. Let g denote the lie algebra of GF, viewed as a Lie algebra over the reals and let gC := g⊗R C denote its complexification. Let μ1, μ2 : F× → C× denote two quasi-characters of F, which are by definition to be continuous maps, F× → C×. We...

Let a and q be two units of Zp, q not a root of unity, and let Vq be the closure of the set {aqn | n = 0, 1, 2, ..}. K is a non-archimedean valued field, K contains Qp, and K is complete for the valuation |.|, which extends the p-adic valuation. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Let E and Dq be the operators on C(Vq → K) defined...

This paper describes the modifications and evolution of a thermal pulse combustionmodel for predicting the combustion oscillations of an aerovalved 250 kW pulse combustorincorporating a soot formation-combustion model. Validation of the model is carried out from theexperimental data of an aerovalved Helmholtz type pulse combustor, where a sinusoidal air inlet massflow coupled with pressure osci...

Extended Abstract. Let Xi1 ,..., Xini   ,i=1,2,3,....,k  be independent random samples from distribution $F^{alpha_i}$،  i=1,...,k, where F is an absolutely continuous distribution function and $alpha_i>0$ Also, suppose that these samples are independent. Let Mi,ni and  M'i,ni  respectively, denote the maximum and minimum of the ith sa...

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces

A b-coloring of the vertices of a graph is a proper coloring where each color class contains a vertex which is adjacent to each other color class. The b-chromatic number of G is the maximum integer b(G) for which G has a b-coloring with b(G) colors. A graph G is b-continuous if G has a b-coloring with k colors, for every integer k in the interval [χ(G), b(G)]. It is known that not all graphs ar...