A Schur Type Matrix Extension Problem. VII

1993 ◽  
Vol 160 (1) ◽  
pp. 111-147 ◽  
Author(s):  
Vladimir K. Dubovoj ◽  
Bernd Fritzsche ◽  
Stefan Fuchs ◽  
Bernd Kirstein
2006 ◽  
Vol 158 (1) ◽  
pp. 133-159 ◽  
Author(s):  
Bernd Fritzsche ◽  
Stefan Fuchs ◽  
Bernd Kirstein

1992 ◽  
Vol 159 (1) ◽  
pp. 101-138 ◽  
Author(s):  
Bernd Fritzsche ◽  
Stefan Fuchs ◽  
Bernd Kirstein

2000 ◽  
Vol 43 (3) ◽  
pp. 633-649 ◽  
Author(s):  
Say Song Goh ◽  
K. M. Teo

AbstractThis paper deals with the problem of constructing multidimensional biorthogonal periodic multiwavelets from a given pair of biorthogonal periodic multiresolutions. Biorthogonal polyphase splines introduced to reduce the problem to a matrix extension problem, and an algorithm for solving the matrix extension problem is derived. Sufficient conditions for collections of periodic multiwavelets to form a pair of biorthogonal Riesz bases of the entire function space are also obtained.


1988 ◽  
Vol 138 (1) ◽  
pp. 195-216 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein

1990 ◽  
Vol 147 (1) ◽  
pp. 235-258 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein

1989 ◽  
Vol 143 (1) ◽  
pp. 227-247 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein

1987 ◽  
Vol 134 (1) ◽  
pp. 257-271 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein

Optimization ◽  
1988 ◽  
Vol 19 (1) ◽  
pp. 85-99 ◽  
Author(s):  
B. Fritzsche ◽  
B. Kirstein

2004 ◽  
Vol 11 (3) ◽  
pp. 479-487
Author(s):  
A. Kharazishvili

Abstract The notions of a negligible set and of an absolutely nonmeasurable set are introduced and discussed in connection with the measure extension problem. In particular, it is demonstrated that there exist subsets of the plane 𝐑2 which are 𝑇2-negligible and, simultaneously, 𝐺-absolutely nonmeasurable. Here 𝑇2 denotes the group of all translations of 𝐑2 and 𝐺 denotes the group generated by {𝑔} ∪ 𝑇2, where 𝑔 is an arbitrary rotation of 𝐑2 distinct from the identity transformation and all central symmetries of 𝐑2.


1996 ◽  
Vol 65 (214) ◽  
pp. 723-738 ◽  
Author(s):  
W. Lawton ◽  
S. L. Lee ◽  
Zuowei Shen
Keyword(s):  

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