CXXX.—Some new tricyclic bases

A New Approach to Continuous Riesz Bases

This paper deals with continuous frames and continuous Riesz bases. We introduce continuous Riesz bases and give some equivalent conditions for a continuous frame to be a continuous Riesz basis. It is certainly possible for a continuous frame to have only one dual. Such a continuous frame is called a Riesz-type frame [13]. We show that a continuous frame is Riesz-type if and only if it is a con...

New Bases for Polynomial-Based Spaces

Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...

Tricyclic Antidepressants: Old Drugs-New Applications

With great interest I have read an excellent article " Evaluation of the efficacy of intrathecal injection of amitripty-line and doxepin in spinal anesthesia in comparison with bupivacaine in rats " , published in your respected journal. The authors present and elaborate a very interesting subject of the application of tricyclic antidepressants as a local anesthetic. I totally agree with the au...

tricyclic antidepressants: old drugs-new applications

New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces

In this paper we investigate a new notion of bases in Hilbert spaces and similar to fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introduce a new denition of fusion dual sequence associated with a fusion basis and show that the operators of a fusion dual sequence are continuous projections. Next we dene the fusion biorthogonal sequence, Bessel fusion basis, Hil...