Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.
Neutrices and the product of distributions
New characterizations for Hankel transformable spaces of Zemanian.
New generalized functions. Multiplication of distributions. Physical applications. Contribution of J. Sebastião e Silva
New inversion formulas for the Krätzel transformation.
Non-holomorphic functional calculus for commuting operators with real spectrum
We consider -tuples of commuting operators on a Banach space with real spectra. The holomorphic functional calculus for is extended to algebras of ultra-differentiable functions on , depending on the growth of , , when . In the non-quasi-analytic case we use the usual Fourier transform, whereas for the quasi-analytic case we introduce a variant of the FBI transform, adapted to ultradifferentiable classes.
Nonlinear maps in spaces of distributions.
Non-solvability of the tangential -systems
We prove that for a real analytic generic submanifold of whose Levi-form has constant rank, the tangential -system is non-solvable in degrees equal to the numbers of positive and negative Levi-eigenvalues. This was already proved in [1] in case the Levi-form is non-degenerate (with non-necessarily real analytic). We refer to our forthcoming paper [7] for more extensive proofs.
Non-Standard Analysis And Generalized Functions.
Normal operators spaces of distributions.
Nové výsledky v theorii distribucí