Hankel operators lie at the junction of analytic and real-variables. We will explore this junction, from the point of view of Haar shifts and commutators. 1. Haar Functions We consider operators which satisfy invariance properties with respect to two well-known groups. The first group we take to the translation operators (1.1) Try f (x) := f (x − y) , y ∈ R . Note that formally, the adjoint ope...

among the therapeutic options for achalasia are pneumatic dilatation (pd), an appropriate long-term therapy, and botulinum toxin injection (bt) that is a relatively short-term therapy. this study aimed to compare therapeutic effect of repetitive pneumatic dilation with a combined method (botulinum toxin injection and pneumatic dilation) in a group of achalasia patients who are low responder to ...

the objective of this paper is to establish a complete characterization of multiwavelet packets associated with matrix dilation on general lattices $gamma$ in $mathbb r^d$ by virtue of time-frequency analysis, matrix theory and operator theory.

We report experiments on sender-receiver games with an incentive for senders to exaggerate. Subjects “overcommunicate”— messages are more informative of the true state than they should be, in equilibrium. Eyetracking shows that senders look at payoffs in a way that is consistent with a level-k model. A combination of sender messages and lookup patterns predicts the true state about twice as oft...

‎let $x,y$ be normed spaces with $l(x,y)$ the space of continuous‎ ‎linear operators from $x$ into $y$‎. ‎if ${t_{j}}$ is a sequence in $l(x,y)$,‎ ‎the (bounded) multiplier space for the series $sum t_{j}$ is defined to be‎ [ ‎m^{infty}(sum t_{j})={{x_{j}}in l^{infty}(x):sum_{j=1}^{infty}%‎ ‎t_{j}x_{j}text{ }converges}‎ ‎]‎ ‎and the summing operator $s:m^{infty}(sum t_{j})rightarrow y$ associat...

Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...

The main purpose of this paper is to briefly review the earlier works of multiparameter Hardy space theory and boundedness of singular integral operators on such spaces defined on product of Euclidean spaces, and to describe some recent developments in this direction. These recent works include discrete multiparameter Calderón reproducing formulas and Littlewood-Paley theory in the framework of...

Quantum systems which interact with their environment are often modeled by maximal dissipative operators or so-called Pseudo-Hamiltonians. In this paper the scattering theory for such open systems is considered. First it is assumed that a single maximal dissipative operator AD in a Hilbert space H is used to describe an open quantum system. In this case the minimal self-adjoint dilation e K of ...

Morphological image processing has been based traditionally on modeling images as sets or as points in a complete lattice of functions and viewing morphological image transformations as set or lattice operators. Thus, so far, the two classic approaches to analyzing or designing the deterministic systems of mathematical morphology have been (1) geometry, by viewing them as image set transformati...