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math.FA2018

On the orthogonal democratic systems in the spaces

K. S. Kazarian, A. San Antolin

The concept of bidemocratic pair for a Banach space was introduced in \cite{KS:18}. We construct a family of orthonormal systems of functions…

gr-qc2018★ 2 cited

First order perturbations of hypersurfaces of arbitrary causal character

Brien C. Nolan, Borja Reina, Kepa Sousa

In this work we study the problem of first order perturbations of a general hypersurface, i.e. with arbitrary causal character at each point. We extend the framework by Mars (Class…

hep-th2018★ 69 cited

Geometric Inflation

Gustavo Arciniega, Pablo Bueno, Pablo A. Cano +3

We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible effective action involving an infinite tower of hig…

nucl-ex2018★ 15 cited

The structure of 70Fe: Single-particle and collective degrees of freedom

A. Gade, R. V. F. Janssens, J. A. Tostevin +16

Excited states in the neutron-rich \nuc{70}{Fe} nucleus were populated in a one-proton removal reaction from \nuc{71}{Co} projectiles at 87~MeV/nucleon. A new transition was observ…

math.NT2018★ 1 cited

Sums of squares in real quadratic fields and Hilbert modular groups

Fernando Chamizo, Roberto J. Miatello

We use the spectral theory of Hilbert-Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares i…

math.AP2018★ 5 cited

Concentration phenomena for the fractional -curvature equation in dimension 3 and fractional Poisson formulas

Azahara DelaTorre, Maria del Mar Gonzalez, Ali Hyder +1

We study the compactness properties of metrics of prescribed fractional -curvature of order in . We will use an approach inspired from conformal geometry, seeing a met…