Estimates for Fourier sums and eigenvalues of integral operators via multipliers on the sphere

We provide estimates for weighted Fourier sums of integrable functions defined on the sphere when the weights originate from a multiplier operator acting on the space where the function belongs. That implies refined estimates for weighted Fourier sums of integrable kernels on the sphere that satisfy an abstract H\"{o}lder condition based on a parameterized family of multiplier operators defining an approximate identity. This general estimation approach includes an important class of multipliers operators, namely, that defined by convolutions with zonal measures. The estimates are used to obtain decay rates for the eigenvalues of positive integral operators on L^2(Sm) and generated by a kernel satisfying the H\"{o}lder condition based on multiplier operators on L^2(Sm).Comment: 15 page

Neel order in the two-dimensional S=1/2 Heisenberg Model

The existence of Neel order in the S=1/2 Heisenberg model on the square lattice at T=0 is shown using inequalities set up by Kennedy, Lieb and Shastry in combination with high precision Quantum Monte Carlo data.Comment: 4 pages, 1 figur

From Diaspora to Nomadic Identity in the Work of Lispector and Felinto

In her article From Diaspora to Nomadic Identity in the Work of Lispector and Felinto Paula Jordão analyzes Clarice Lispector\u27s A Hora da Estrela (1977; The Hour of the Star, Trans. Giovanni Pontiero, 1992) and Marilene Felinto\u27s As Mulheres de Tijucopapo (1982; The Women of Tijucopapo, trans. Irene Matthews, 1994). Despite being stylistically different, Lispector\u27s A Hora da Estrela and Felinto\u27s As Mulheres de Tijucopapo depict protagonists who share the same social and ethnic background and diasporic identity as women from the Northeast of Brazil. A closer look at the narrative trajectory of these two main characters shows us that they complement each other in the questioning and reformulation of their female identity. Although in a completely different way, they both defy a stereotyped female identity built upon patriarchal standards and put forth a nomadic identity in which memory, trauma, and gender play a central role. As conscious pariahs, they are maybe the promise of the New Brazilian Woman