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Key words and phrases: Linear system, transfer function, frequency re- sponse, operational calculus, behavior, AR-model, state model, controllabil- ity,
Oscillatory Integrals, Weighted and Mixed Norm Inequalities, Global Smoothing and Decay, Time-dependent Schr¨ odinger Equation, Bessel functions, Weighted inter- polation
Abstract. In Section 1 we introduce Frobenius coordinates in the general setting that includes Hopf subalgebras. In Sections 2 and 3 we review briefly the theories of Frobenius
In 2, the regularity of weak solutions to the characteristic BVP 1.2-1.3 was studied, under the assumption that the problem is strongly L 2 -well posed, namely, that a unique L
This paper develops a recursion formula for the conditional moments of the area under the absolute value of Brownian bridge given the local time at 0.. The method of power series
In view of Theorems 2 and 3, we need to find some explicit existence criteria for eventually positive and/or bounded solutions of recurrence re- lations of form (2) so that
Having established the existence of regular solutions to a small perturbation of the linearized equation for (1.5), we intend to apply a Nash-Moser type iteration procedure in
We establish the existence of a bounded variation solution to the Cauchy problem, which is defined globally until either a true singularity occurs in the geometry (e.g. the vanishing