102,109 research outputs found
Pseudodifferential operators with completely periodic symbols
No full textMotivated by the recent paper of Boggiatto-Garello (J Pseudo-Differ Oper Appl 11:93-117, 2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p(x, \omega) periodic on both the variables, we study the continuity and invertibility, on general time frequency invariant spaces, of pseudodifferential operators with completely periodic symbol and general t quantization
Lp microlocal properties for vector weighted pseudodifferential operators with smooth symbols
No full textThe authors introduce a class of pseudodifferential operators, whose symbols satisfy completely inhomogeneous estimates at infinity for the derivatives. Continuity properties in suitable weighted Sobolev spaces of Lp type are given and Lp microlocal properties studied
L p continuity and microlocal properties for pseudodifferential operators
No full textThe aim of this paper is to give a brief survey about L p continuity and microlocal regularity for classical pseudodifferential operators, with p≠ 2. In particular, we focus on some classes of operators with smooth symbol satisfying decay properties of quasi-homogeneous or completely non-homogeneous type
Microlocal regularity of Besov type for solutions to quasi-elliptic nonlinear partial differential equations
No full textUsing a standard linearization technique and previously obtained microlocal properties for pseudodifferential operators with smooth coefficients, the authors state results of microlocal regularity in generalized Besov spaces for solutions to nonlinear PDE
Microlocal regularity of nonlinear PDE in quasi-homogeneous Fourier–Lebesgue spaces
No full textWe study the continuity in weighted Fourier–Lebesgue spaces for a class of pseudodifferential operators, whose symbol has finite Fourier–Lebesgue regularity with respect to x and satisfies a quasi-homogeneous decay of derivatives with respect to the ξ variable. Applications to Fourier–Lebesgue microlocal regularity of linear and nonlinear partial differential equations are given
L^p microlocal properties for multi-quasi-elliptic pseudodifferential operators
No full textIn the present paper microlocal properties of a class of suitable Lp bounded pseudodifferential operators are stated in the framework of weighted Sobolev spaces of Lp type. Applications to microlocal regularity of solutions to multi-quasi-elliptic partial differential equations are also given
Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
No full textStarting from the study of pseudodifferential operators with completely periodic symbols, we obtain results of continuity and invertibility of a class of Gabor operators on time-frequency invariant Banach spaces. As an application, we find sufficient conditions for the existence of Gabor frames on L^2, associated with a general lattice LZ^{2d}, where L is an invertible square matrix
Pseudodifferential Operators with Completely Periodic Symbols and Gabor Frames
No full textWe investigate continuity and invertibility of a family of pseudodifferential operators with symbol p(x,ω) periodic on both variables (x,ω). Some applications to Gabor frames are considered
Implementation of 5G beamforming techniques on cylindrical arrays
No full textIn this paper we study the performance of a Uniform Cylindrical Array for a 5G base station working in the mmW region. Conventional and Capon beamforming design are considered. A comparison against a base station equipped with three Uniform Planar Arrays, one per sector, is presented. Average per-user achievable rate results are provided with different system configuration in terms of network loading and number of antennas, showing that Uniform Cylindrical Array could represent an interesting solution for 5GmmW networks
L^p continuity for pseudodifferential operators
No full textThe authors give a short survey about the LP-continuity of pseudo-differential operators both with smooth and non-smooth symbols
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