3,582 research outputs found
Quasi-analyticity in Carleman ultraholomorphic classes
We give a characterization for two different concepts of quasi-analyticity in
Carleman ultraholomorphic classes of functions of several variables in
polysectors. Also, working with strongly regular sequences, we establish
generalizations of Watson's Lemma under an additional condition related to the
growth index of the sequence.Comment: To appear in Ann. Inst. Fourier, Grenobl
On q-asymptotics for linear q-difference-differential equations with Fuchsian and irregular singularities
We consider a Cauchy problem for some family of q-difference-differential
equations with Fuchsian and irregular singularities, that admit a unique formal
power series solution in two variables t and z for given formal power series
initial conditions. Under suitable conditions and by the application of certain
q-Borel and Laplace transforms (introduced by J.-P. Ramis and C. Zhang), we are
able to deal with the small divisors phenomenon caused by the Fuchsian
singularity, and to construct actual holomorphic solutions of the Cauchy
problem whose q-asymptotic expansion in t, uniformly for z in the compact sets
of the complex plane, is the formal solution. The small divisors's effect is an
increase in the order of q-exponential growth and the appearance of a power of
the factorial in the corresponding q-Gevrey bounds in the asymptotics.Comment: 31 pages. Proofs of Propositions 1 and 3 improved. Some references
added, typos correcte
Torres Blancas, a Vertical Garden City
Torres Blancas, the building designed by Francisco Javier Sáenz de OĂza for the Huarte company, was built between 1964 and 1972. Its powerful sculptural form, the expressive use of bare concrete and its experimental nature make it an iconic example of Madrid’s architecture. Proposed as a vertical city with an organic emphasis, Torres Blancas is not the usual stack of flats, but a residential complex of independent housing units with garden terraces and the amenities of a small community. This building thus combines Le Corbusier’s unitĂ©s d’habitation and Frank Lloyd Wright’s towers
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