since 2005 a new powerful invariant of an algebra has emerged using the earlier work of horvath, hethelyi, kulshammer and murray. the authors studied morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. it was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

The invariant subspaces of the Hardy space $$H^2(\mathbb {D})$$ unit disc are very well known; however, in several variables, structure classical spaces is not yet fully understood. In this study, we examine Poletsky–Stessin–Hardy which generalization to hyperconvex domains $$\mathbb {C}^n$$ . We showed that all $$H^{2}_{\tilde{u}}(\mathbb {D}^2)$$ Beurling-type. To characterize Beurling-type s...

— Let X be a Riemannian symmetric space of the noncompact type. We prove that the solution of the time-dependent Schrödinger equation on X with square integrable initial condition f is identically zero at all times t whenever f and the solution at a time t0 > 0 are simultaneously very rapidly decreasing. The stated condition of rapid decrease is of Beurling type. Conditions respectively of Gelf...

We investigate regularity properties of solutions Beltrami equation expressed in terms moduli continuity. In particular, we prove that a class Calderon–Zygmund operators, including Ahlfors–Beurling operator, preserves certain type modulus continuity compactly supported functions. also purely topological result which easily gives injectivity normal equation.

We study generalised prime systems P (1 < p1 ≤ p2 ≤ · · · , with pj ∈ R tending to infinity) and the associated Beurling zeta function ζP(s) = ∏∞ j=1(1 − p−s j )−1. Under appropriate assumptions, we establish various analytic properties of ζP(s), including its analytic continuation and we characterise the existence of a suitable generalised functional equation. In particular, we examine the rel...