scholarly journals On degeneracy of linear reconstruction from three views: linear line complex and applications

1999 ◽  
Vol 21 (3) ◽  
pp. 244-251 ◽  
Author(s):  
G.P. Stein ◽  
A. Shashua
Keyword(s):  
Line Complex ◽  
Linear Reconstruction

scholarly journals The origin of the strong soft excess and puzzling iron line complex in Mkn 841

2006 ◽  
Vol 327 (10) ◽  
pp. 1043-1046 ◽  
Author(s):  
P. O. Petrucci ◽  
G. Ponti ◽  
G. Matt ◽  
L. Maraschi ◽  
J. Malzac ◽  
...  
Keyword(s):  
Iron Line ◽  
Line Complex

scholarly journals GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES

2005 ◽  
Vol 03 (04) ◽  
pp. 497-509 ◽  
Author(s):  
YONINA C. ELDAR ◽  
TOBIAS WERTHER
Keyword(s):  
Hilbert Spaces ◽  
General Framework ◽  
Inner Product ◽  
Riesz Bases ◽  
Oblique Projection ◽  
Dual Frames ◽  
Infinite Dimensional ◽  
Reconstruction Scheme ◽  
Linear Reconstruction ◽  
Oblique Dual

We introduce a general framework for consistent linear reconstruction in infinite-dimensional Hilbert spaces. We study stable reconstructions in terms of Riesz bases and frames, and generalize the notion of oblique dual frames to infinite-dimensional frames. As we show, the linear reconstruction scheme coincides with the so-called oblique projection, which turns into an ordinary orthogonal projection when adapting the inner product. The inner product of interest is, in general, not unique. We characterize the inner products and corresponding positive operators for which the new geometrical interpretation applies.

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