We analyze quasiasymptotic boundedness of distributions and their wavelet transforms, in general, as well as for a class of α− exponentially bounded distributions and their wavelet transforms in particular. The main idea of this paper is to use, instead of the quasiasymptotic behaviour, the notion of quasiasymptotic boundedness. In this way we obtain new Abelian type theorems for the wavelet transform of distributions with different growth. AMS Mathematics Subject Classification (2010): 46F12, 42C40

We show how leading radiative corrections can be implemented in the general description of $$h\rightarrow 4\ell $$h→4ℓ decays by means of pseudo observables (PO). With the inclusion of such corrections, the PO description of $$h\rightarrow 4\ell $$h→4ℓ decays can be matched to next-to-leading-order electroweak calculations both within and beyond the Standard Model (SM). In particular, we demonstrate that with the inclusion of such corrections the complete next-to-leading-order SM prediction for the $$h\rightarrow 2e2\mu $$h→2e2μ dilepton mass spectrum is recovered within $$1\,\%$$1% accuracy. The impact of radiative corrections for non-standard PO is also briefly discussed.

This paper describes an application of analytic hierarchy process (AHP) to enhance interactive budgeting in one of the biggest public university hospitals in Italy. AHP improved budget allocation facilitating elicitation and formalisation of units' needs. Furthermore, AHP facilitated vertical communication among managers and stakeholders, as it allowed multilevel hierarchical representation of hospital needs, and horizontal communication among staff of the same hospital, as it allowed units' need prioritisation and standardisation, with a scientific multi-criteria approach, without using complex mathematics. Finally, AHP allowed traceability of a complex decision-making process (as budget allocation), this aspect being of paramount importance in public sectors, where managers are called to respond to many different stakeholders about their choices.

Abstract Because of the great pharmacological potential of the pyrimidine motif, novel C-5 substituted N -3 acyclic and O -4 acyclic pyrimidine derivatives were prepared as an interesting class of compounds for biological evaluation. Introduction of the 2,3-dihydroxypropyl (DHP) and penciclovir (PCV)-like side chains to 2-methoxypyrimidin-4-one ( 2 ) afforded a mixture of N - and O -acyclic pyrimidine nucleosides in the ratio of 54: 29 ( 3 : 4 ) and 57:21 ( 5 : 6 ) with N -3 isomer being dominant. Distinction between N - and O -alkylated pyrimidine moiety was deduced from extensive experimental FT-IR, HPLC-MS and 1D ( 1 H, 13 C) and 2D (COSY, HMQC and HMBC) NMR analyses. The N -, O -regioisomers were also examined by computational method at density functional theory (DFT) RB3LYP/6-31G(d), 6-31G ∗∗ and 6-31+G ∗ levels. DFT global chemical reactivity descriptors (total energy, chemical hardness, electronic chemical potential and electrophilicity) were calculated for the isomers and used to predict and describe their relative stability and reactivity. The chemical reactivity indices were related to the C 2 N 3 C 4 bond angle. Theoretical predictions can be used to compare chemical reactivity and stability with future biological evaluation and behaviour of these compounds.