We provide a short proof of that case of the Gilbert-Pearson theorem that is most often used: That all eigenfunctions bounded implies purely a.c. spectrum. Two appendices illuminate Weidmann's result that potentials of bounded variation have strictly a.c. spectrum on a half-axis. 5

Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation (Lipschitzian or monotonic) are given. Applications in relation with the well-known Čebyšev, Grüss, Ostrowski and Lupaş inequalities are provided as well.

We prove that the number of conjugacy classes of maximal subgroups of bounded order in a finite group of Lie type of bounded rank is bounded. For exceptional groups this solves a longstanding open problem. The proof uses, among other tools, some methods from Geometric Invariant Theory. Using this result we provide a sharp bound for the total number of conjugacy classes of maximal subgroups of L...

The classical Sobolev embedding theorem of the space of functions of bounded variation BV (Rn) into Ln (Rn) is proved in a sharp quantitative form.

Let X = (X; . . . ; X) be a continuous semimartingale and let b : IR 1 ! IR be a continuous function such that the process b = b(X; . . . ; X ) is a semimartingale. Setting C = f (x1; . . . ; xn) 2 IR j xn < b(x1; . . . ; xn 1) g and D = f (x1; . . . ; xn) 2 IR j xn > b(x1; . . . ; xn 1) g suppose that a continuous function F : IR ! IR is given such that F is C1n on C and F is C1 ;...;in on D w...

An interfacing circuit for piezoresistive pressure sensors based on CMOS current conveyors is presented. The main advantages of the proposed interfacing circuit include the use of a single piezoresistor, the capability of offset compensation, and a versatile current-mode configuration, with current output and current or voltage input. Experimental tests confirm linear relation of output voltage...

The major event of the 9/11 terror attacks is likely to have induced an increase in antiimmigrant and anti-foreigner sentiments, not only among US residents but also beyond US borders. Using longitudinal data from the German Socio-Economic Panel and exploiting exogenous variation in interview timing throughout 2001, I find that the terror attacks in the US caused an immediate shift of around 40...

We will expand on the first part of Section 3.5 of Folland's text, which covers functions of bounded variation on the real line and related topics. We begin with functions defined on finite closed intervals in R (note that Folland's approach and notation is slightly different, as he begins with functions defined on R and uses T F (x) instead of our V [f ; a, b]).

The goal of this chapter is to shed light on the notion of pronominal anaphora and to take a closer look at their syntactic behaviour. After a brief definition of the term itself, we will investigate in which contexts they occur. Of course, one question that arises is whether some general patterns can be observed – how do pronominal anaphora generally behave, and do we find exceptions? Moreover...

The English stop voicing contrast is examined in both wordinitial position (via VOT) and word-final position (via the duration of the preceding vowel) in young adult speakers born and brought up in the Shetland Isles. The subjects’ parents were either also from Shetland, from elsewhere in Scotland, or England. All have identical phonemic stop systems, unambiguously so in initial position. The q...