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A technique similar to that of Chan and Li can be found in Thompson’s earlier work [ 6 ] on the diagonal entries and singular values of a square
It turns out that most properties of classical Bezoutians can be analogously generalized to the case of polynomial Bezoutians in the framework of algebraic methods..
This representation formula is presented in a handy way in [H4] and simply involves an additional curvature term in (3). The aim of this note is then simply to observe that,
Proof : The only problem is to prove formula (4), that is to prove that u is the sum of its Taylor expansion with respect to λ. In the case where A is a complex Banach algebra,
The proof of this lemma would follow by the same arguments as the proof of Lemma 3.1 of [5], applying the criterion for absolute continuity of the supremum of a Gaussian
Some deviation inequalities and moderate deviation principles for the maximum likelihood esti- mators of parameters in an Ornstein-Uhlenbeck process with linear drift are established
coordinate systems this problem is reduced to the ǫ-covering time of the two-dimensional (flat) torus by a (standard) Brownian motion. In this paper we deal with manifolds of
For this reason we started a program of research in the two-dimensional supersymmetric classical mechanics of Liouville systems [ 16 ]; i.e., those separable in elliptic,
