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Abstract: In this note, we shall investigate the Hölder continuity of matrix functions ap- plied to normal matrices provided that the underlying scalar function is Hölder
The following multidimensional generalization of Riemann- Lebesgue Lemma is given in the recent paper Canada, A., Urena, A.J.. Other multidimensional version
Note that the result of Lemma 15 is known in a more precise form (see the book of Montgomery and Vaughan [ 5 , pp.. We first compute the generating series of n/ϕ (
Incidentally, note that a corollary of Theorem 3.1 (see the corollary below) allows the elegant solution of classical problems of analytical geometry, such as finding the parametric
Examples 3.37, 3.39, 3.40 of parametric families of reciprocating functions already appear to rep- resent a wide enough variety. Moreover, Constructions 1–4 given in this
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
Thus, Corollary 3 states that the process of departures from the queue has the same law as the process of arrivals to the queue; it can therefore be regarded as an extension of
Necessary and sufficient coefficient bounds are given for functions in this function class.. Further distortion bounds and extreme points are
