The tempered spectrum of the similitude groups of non-degenerate symplectic, hermitian, or split orthogonal forms defined over p-adic groups of characteristic zero is studied. The components of representations induced from discrete series of proper parabolic subgroups are classified in terms of R-groups. Multiplicity one is proved. The tempered elliptic spectrum is identified, and the relation ...

In this investigation we propose a novel approach for classifying polyphonic melodies. Our main idea comes from for automatic classi cation of polyphonic melodies by Hidden Markov model where the states correspond to well-tempered chords over the music and the observation sequences to some feature values called pitch spectrum. The similarity among harmonies can be considered by means of the fea...

We explore the use of the Spiral Array spatial visualization of tonal evolution through time for the visual analysis of P.D.Q. Bach’s The ShortTempered Clavier. In particular, we analyze situations in which we can see some of the humour devices abstracted in an earlier study by David Huron. We conclude that although we can see a good number of Schickele’s humour devices − such as incongruent st...

Abstract We consider a version of the pole placement problem for tempered one-sided linear discrete-time time-varying systems. prove sufficient condition assignability nonuniform dichotomy spectrum by feedback. The main result is that assignable if system completely controllable and certain lower asymptotic bound controllability Gramian holds.

Fractional derivatives and integrals are convolutions with a power law. Multiplying by an exponential factor leads to tempered fractional derivatives and integrals. Tempered fractional diffusion equations, where the usual second derivative in space is replaced by a tempered fractional derivative, govern the limits of random walk models with an exponentially tempered power law jump distribution....

The inverse tempered stable subordinator is a stochastic process that models power law waiting times between particle movements, with an exponential tempering that allows all moments to exist. This paper shows that the probability density function of an inverse tempered stable subordinator solves a tempered time-fractional diffusion equation, and its ‘‘folded’’ density solves a tempered time-fr...

The deep cryogenic treatment is a complementary operation that is done on a variety of tool steels aimed at improving their abrasion resistance and hardness. In the case of the H13 hot-work steel, which is widely used at high temperatures as a hot-deformation tool, we need to determine the efficiency of subzero treatment on it at the working temperature. In this regard, this paper is focu...