Showing items with similar title or keywords.

• Singular integrals on regular curves in the Heisenberg group 

  Fässler, Katrin; Orponen, Tuomas (Elsevier BV, 2021)

  Let be the first Heisenberg group, and let be a kernel which is either odd or horizontally odd, and satisfies The simplest examples include certain Riesz-type kernels first considered by Chousionis and Mattila, and the ...

• Pauls rectifiable and purely Pauls unrectifiable smooth hypersurfaces 

  Antonelli, Gioacchino; Le Donne, Enrico (Elsevier, 2020)

  This paper is related to the problem of finding a good notion of rectifiability in sub-Riemannian geometry. In particular, we study which kind of results can be expected for smooth hypersurfaces in Carnot groups. Our main ...

• Quasispheres and metric doubling measures 

  Lohvansuu, Atte; Rajala, Kai; Rasimus, Martti (American Mathematical Society, 2018)

  Applying the Bonk-Kleiner characterization of Ahlfors 2-regular quasispheres, we show that a metric two-sphere X is a quasisphere if and only if X is linearly locally connected and carries a weak metric doubling measure, ...

• Unique Continuation Results for Certain Generalized Ray Transforms of Symmetric Tensor Fields 

  Agrawal, Divyansh; Krishnan, Venkateswaran P.; Sahoo, Suman Kumar (Springer Science and Business Media LLC, 2022)

  Let Im denote the Euclidean ray transform acting on compactly supported symmetric m-tensor field distributions f, and I∗m be its formal L2 adjoint. We study a unique continuation result for the operator Nm=I∗mIm. More ...

• Two examples related to conical energies 

  Dąbrowski, Damian (Suomen matemaattinen yhdistys ry, 2022)

  Viimeaikaisessa työssä (2021) esittelimme ja tutkimme uusia kartioenergioita, ja käytimme niitä kolmen tuloksen todistamiseen: antamaan riittävät ja välttämättömät ehdot toisaalta suoristuville mitoille ja toisaalta ...