coordinate function
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2014 ◽  
Vol 47 (1) ◽  
Author(s):  
Vasile Lauric

AbstractIn this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ellipse. The matrix representation of the operator of multiplication by coordinate function is obtained



2011 ◽  
Vol 29 ◽  
pp. S9-S15 ◽  
Author(s):  
Antonio Alarcón ◽  
Isabel Fernández


Author(s):  
Hiroyuki Nakase ◽  
Yusuke Kawamura ◽  
Atsuyoshi Yamaguchi ◽  
Hiroshi Oguma ◽  
Suguru Kameda ◽  
...  


Author(s):  
Tomoko Osawa

LetLa2be a Bergman space. We are interested in an intermediate Hankel operatorHφMfromLa2to a closed subspaceMofL2which is invariant under the multiplication by the coordinate functionz. It is well known that there do not exist any nonzero finite rank big Hankel operators, but we are studying same types in caseHφMis close to big Hankel operator. As a result, we give a necessary and sufficient condition aboutMthat there does not exist a finite rankHφMexceptHφM=0.



Cell ◽  
2005 ◽  
Vol 121 (6) ◽  
pp. 873-885 ◽  
Author(s):  
Yali Dou ◽  
Thomas A. Milne ◽  
Alan J. Tackett ◽  
Edwin R. Smith ◽  
Aya Fukuda ◽  
...  


1980 ◽  
Vol 17 (3) ◽  
pp. 415-428 ◽  
Author(s):  
G. T. Klimko ◽  
M. M. Mestechkin ◽  
G. E. Whyman


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