in this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for l^2(r^d). further, we illustrate our results with some examples and applications.

For a hyperbolic type model equation of third order a Darboux type problem is investigated in a dihedral angle. It is shown that there exists a real number ρ0 such that for α > ρ0 the problem under consideration is uniquely solvable in the Frechet space. In the case where the coefficients are constants, Bochner’s method is developed in multidimensional domains, and used to prove the uniquely so...

we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

Concentrically braced frames (CBFs) are one of the efficient lateral load resisting systems in high seismicity regions. One of the common problems with the use of concentrically braced frames is limitation in the architectural application and position of the openings. Two-story X braced frames have more advantages than other configurations of concentrically braced frames, since in many cases th...

the objective of this review to be submitted in two independent parts, for steel frames and for rc frames, is to compare their structural performance with respect to the proposed n2-method, and so also of the consequent convenience of using pushover methodology for the seismic analysis of these structures. a preliminary investigation is presented on a pushover analysis used for the seismic perf...

‎‎The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions‎. ‎Woven frames play ‎ a crucial role in signal preprocessing and distributed data processing‎. Motivated by these facts, we have investigated the tensor product of woven frames and presented some of their properties. Besides...

We prove a Lusternik-Schnirelmann type theorem for <em>C</em><sup>1</sup>- function φ : M → R, where is connected infinite dimensional Frechet manifold of class <em>C</em><sup>1</sup>. To this end, in context we the so-called Deformation Lemma and by using it derive result generalizing Minimax Principle.