Deviations of Riesz Projections of Hill Operators with Singular Potentials
نویسنده
چکیده
منابع مشابه
Bari-markus Property for Riesz Projections of Hill Operators with Singular Potentials
A. Savchuk and A. Shkalikov [17] gave thorough spectral analysis of such operators. In particular, they consider a broad class of boundary conditions (bc) – see (1.6), Theorem 1.5 there – in terms of a function y and its quasi–derivative u = y′ −Qy. The natural form of periodic or antiperiodic (Per±) bc is the following one: (1.3) Per± : y(π) = ±y(0), u(π) = ±u(0) If the potential v happens to ...
متن کاملNew characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
In this paper we investigate a new notion of bases in Hilbert spaces and similar to fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introduce a new denition of fusion dual sequence associated with a fusion basis and show that the operators of a fusion dual sequence are continuous projections. Next we dene the fusion biorthogonal sequence, Bessel fusion basis, Hil...
متن کاملBari–Markus property for Riesz projections of 1D periodic Dirac operators
The Dirac operators Ly = i 1 0 0 −1 dy dx + v(x)y, y = y1 y2 , x ∈ [0, π], with L 2-potentials v(x) = 0 P (x) Q(x) 0 , P,Q ∈ L 2 ([0, π]), considered on [0, π] with periodic, antiperiodic or Dirichlet boundary conditions (bc), have discrete spectra, and the Riesz projections SN = 1 2πi |z|=N− 1 2 (z − L bc) −1 dz, Pn = 1 2πi |z−n|= 1 2 (z − L bc) −1 dz are well-defined for |n| ≥ N if N is suffi...
متن کاملOn L Modulus of Continuity of Brownian Local times and Riesz Potentials
Abstract. This article is concerned with modulus of continuity of Brownian local times. Specifically, we focus on 3 closely related problems: (a) Limit theorem for a Brownian modulus of continuity involving Riesz potentials, where the limit law is an intricate Gaussian mixture. (b) Central limit theorems for the projections of L modulus of continuity for a 1-dimensional Brownian motion. (c) Ext...
متن کاملOn L2 Modulus of Continuity of Brownian Local times and Riesz Potentials by Aurélien Deya,
This article is concerned with modulus of continuity of Brownian local times. Specifically, we focus on three closely related problems: (a) Limit theorem for a Brownian modulus of continuity involving Riesz potentials, where the limit law is an intricate Gaussian mixture. (b) Central limit theorems for the projections of L2 modulus of continuity for a one-dimensional Brownian motion. (c) Extens...
متن کامل