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The fiberization of affine systems via dual Gramian techniques, which was developed in previous papers of the authors, is applied here for the study of affine frames that have an affine dual system.
      
Our proofs proceed in the time domain and allow us to represent each solution regardless of the spectral radius of P(0):=2-s∑cα, which has been a difficulty in previous investigations of this nature.
      
Another generalization is obtained in the context of representations of Jordan algebras, in the spirit of Herz's previous work on matrix spaces.
      
This has significant advantages over the previous work.
      
The article extends upon previous work by Temlyakov, Konyagin, and Wojtaszczyk on comparing the error of certain greedy algorithms with that of best m-term approximation with respect to a general biorthogonal system in a Banach space X.
      
We discuss it first by showing how these operators are connected to the general theory of vector-valued Calderón-Zygmund operators in non-homogeneous spaces, developed in our previous paper [6].
      
This article extends previous results on the Pompeiu problem with moments.
      
It was pointed out in our previous article that there is a great flexibility in choosing coefficients of greedy expansions.
      
Surprisingly, for a properly chosen sequence of coefficients we obtain results similar to the previous results on greedy expansions when the coefficients were determined by an element f.
      
Such a formula had been derived in a previous article by the authors, as a consequence of the study of the asymptotic behavior of nonlinear wave operators for small data.
      
In a previous paper, we have proved that a planar quadratic system with invariant parabola Γ has at most one limit cycle.
      
In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presented in two previous papers of Hu.
      
In previous work, under some assumptions, we specified a replacement rule which minimizes the long-run (expected) average cost per unit time and possesses control limit property.
      
Our previous results [15] for ordinary nonlinear regression models are extended to multinomial nonlinear models.
      
This report is virtually the appendix part of the author's previous paper which includes the proofs for the theorems and lemmas.
      
Authors propose here two heuristics with the first based on some previous work and the second based on the algorithm developed in Part I.
      
Some previous results are improved and generalized.
      
The result is significant because the previous conclusions are only applied to open-loop stable plant (or model).
      
In this paper the global stability of difference equation is studied and a sufficient condition is obtained, which improves some previous results.
      
Several previous results for nonlinear regression models and exponential family nonlinear models etc.
      
 

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