F. J. Beutler, The operator theory of the pseudo-inverse. I; bounded operators, II: unbounded operators with arbitrary range, J. Math. Anal. App l ., Vol. 10 (1965), pp. 451-493.BEUTLER, F. J. The operator theory of the pseudo-inverse...
伪逆算子的性质及其在框架理论中的应用 The properties of pseudo-inverse operators and their applications in the frame theory;
We identify a more accurate means of deconvolving compact nondegenerate operators than that provided by independent application of standard regularization techniques to individual members of the implied continuum of first kind integral equations. For the problem defined by h(x,t)=∫Yf(x,y)g(y,t...
1.The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided,and finally the theory of pseudo-inverse operators to some non-frame sequences was developed.然后把伪逆算子应用在框架理论中,同时给出了预框架算子的伪逆算子的矩阵表示。 4)preframe operator预框架算子...
1.And the continuity of some relevent operators is proved also by using a theory of pseudo-differential operator.利用广义函数理论证明了一类广义Radon变换及其对偶变换在分布空间上的连续性;并且利用拟微分算子理论证明了一些有关算子的连续性。 2.On the basis of the study of pre-wavelet and pseudo-diffe...
The theory of absolutely summing operators originates in the fundamental paper of Grothendieck [13]. In its modern presentation it appeared in 1966–67 in the work of Pietsch [31], Mitiagin and Pełczyński [25] and in the remarkable paper of Lindenstrauss and Pełczyński [22]. It pl...
The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided,and finally the theory of pseudo-inverse operators to some non-frame sequences was developed. 然后把伪逆算子应用在框架理论中,同时给出了预框架算子的伪逆算子的矩阵表示。4...
very difficult because it has huge dimensions. Based on this, inverse scattering theory is referred to, the expression of the pseudo-Hessian operator of the objective function of full-waveform inversion is given, and a pre-conditioned gradient-based FWI method is developed. The proposed method ...
We present an estimate of the dimension D=2 "operator" induced by large order perturbation theory using two different sum rules for the e einto I=1 hadrons total cross-section. We conclude that this "operator" can only affect the existing ϱ-meson spectral sum rules results and the τ-...
A. Ammar, S-essential spectra, the Weyl pseudospectra of linear operators, perturbation theory of semi regular and essentially semi regular operators, Thesis, University of Sfax, 2013 Google Scholar A. Ammar, A. Jeribi, A characterization of the essential pseudo-spectra on a Banach space. Arab...