The generalized Funk transform is a integral transform acting from densities on a manifold X to functions defined on a family Σ of hypersurfaces in X. The dual operator M is again a Funk transform which is defined for densities on the manifold Σ. We state twoside estimates for the operator M and a description of the range of the Funk transform operatorM and approximation theorem for the kernel ...

Cuatrecasanthus is native to Ecuador and Peru and although several unusual characters define the genus, such as single flowered heads and corolla throat (limb) divided to the base with lobes that are thickened at the margins, the members of the genus were not recognized as especially closely related until relatively recently. All six species are described, including two new to science (Cuatreca...

Esse artigo discute sobre uma das manifestações artísticas mais controversas da atualidade, o funk. Temos em vista toda a gama de questões que essas performances carregam, especial quando são elevadas ao status arte ou alocadas discursos como educação e saúde. Assim, objetivo aqui é compreender os sentidos Educação Saúde reverberados no Funk – Bum Tam (Remix 2021) Mc Fioti, performance ficou co...

The well-known invariants of conics are computed for classes of Finsler and Lagrange spaces. For the Finsler case, some (α, β)-metrics namely Randers, Kropina and ”Riemann”-type metrics provides conics as indicatrices and a Randers-Funk metric on the unit disk is treated as example. The relations between algebraic and differential invariants of (α, β)-metrics are pointed out as a method to use ...

Introduction In 2012 we celebrate the centenary of Dr Casimir Funk’s discovery of the 'vitamine'. Funk was the first to suggest the existence of a family of organic substances that are essential for life, which the world now takes for granted. He was thus the godfather of the vitamin movement. Funk conceived the concept of “vital amines”; essential nutrients with a specific action, requiring on...