In this paper, we deal with the second order difference equation asymmetric nonlinearities on integer lattice and investigate distribution of zeros for continuous extensions positive semi-waves. The distance between two consecutive different semi-waves depends not only parameters problem but also position one these respect to lattice. We provide an explicit formula distance, which allows us obt...

Abstract We give a new class of equivalent norms for modulation spaces by replacing the window short-time Fourier transform Hilbert–Schmidt operator. The main result is applied to Cohen’s time-frequency distributions, Weyl operators and localization operators. In particular, any positive distribution with Schwartz kernel can be used an norm spaces. also obtain description as Wiener amalgam oper...

We define a Schrödinger operator on the half-space with discontinuous magnetic field having piecewise-constant strength and uniform direction. Motivated by applications in theory of superconductivity, we study infimum spectrum operator. give sufficient conditions direction such that aforementioned is an eigenvalue reduced model half-plane. use to new semiclassical problem bounded domains space,...

Abstract An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes fact that such operator strictly less than supremum symbol. Consequences time-frequency localization are also given.

in this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $l^{2}(sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$a$. then we show that weighted composition operators can separate these classes.

The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.