• Estimates for maximal functions associated to hypersurfaces in ℝ³ with height h < 2: Part I 

  Buschenhenke, Stefan; Dendrinos, Spyridon; Ikromov, Isroil A.; Müller, Detlef (American Mathematical Society, 2019-07-15)

  In this article, we continue the study of the problem of Lp-boundedness of the maximal operator M associated to averages along isotropic dilates of a given, smooth hypersurface S of finite type in 3-dimensional Euclidean ...
• The capacity of sets of divergence of Certain Taylor Series on the unit circle 

  Twomey, J. Brian (Springer, 2019-05-09)

  A simple and direct proof is given of a generalization of a classical result on the convergence of ∑∞k=0ak e ikx outside sets of x of an appropriate capacity zero, where f(z)=∑∞k=0akzk is analytic in the unit disc U ...
• On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3 

  Dendrinos, Spyridon; Zimmermann, Eugen (Springer, 2019-07-12)

  We establish Lp-Lq estimates for averaging operators associated to mixed homogeneous polynomial hypersurfaces in R3. These are described in terms of the mixed homogeneity and the order of vanishing of the polynomial ...
• Stable injection locking with slotted Fabry–Perot lasers at 2 μm 

  Kavanagh, Niamh; Goulding, David; Gunning, Fatima C. Garcia (IOP Publishing Ltd., 2018-12-06)

  Injection locking has many applications in telecommunications systems, such as narrowing linewidths, increasing bandwidth and improving filtering. Beyond telecommunications, injection locking is widely used in remote ...
• Nonhydrostatic Pollard-like internal geophysical waves 

  Kluczek, Mateusz (American Institute of Mathematical Sciences, 2019-05-01)

  We present a new exact and explicit Pollard-like solution describing internal water waves representing the oscillation of the thermocline in a nonhydrostatic model. The derived solution is a modification of Pollard's surface ...

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