On spectral sets of integers

2018 ◽  
pp. 215-234
Author(s):  
Dorin Dutkay ◽  
Isabelle Kraus
Keyword(s):  
Spectral Sets

Decomposing numerical ranges along with spectral sets

2009 ◽  
Vol 57 (5) ◽  
pp. 431-437
Author(s):  
Franciszek Hugon Szafraniec
Keyword(s):  
Spectral Sets

scholarly journals Partial inverse problems for Sturm–Liouville operators on trees

2017 ◽  
Vol 147 (5) ◽  
pp. 917-933 ◽  
Author(s):  
Natalia Bondarenko ◽  
Chung-Tsun Shieh
Keyword(s):  
Inverse Problems ◽  
A Priori ◽  
Potential Functions ◽  
Inverse Spectral Problems ◽  
Spectral Sets ◽  
Spectral Problems ◽  
Partial Inverse ◽  
Method Of Spectral Mappings ◽  
Sturm Liouville ◽  
Liouville Operators

In this paper, inverse spectral problems for Sturm–Liouville operators on a tree (a graph without cycles) are studied. We show that if the potential on an edge is known a priori, then b – 1 spectral sets uniquely determine the potential functions on a tree with b external edges. Constructive solutions, based on the method of spectral mappings, are provided for the considered inverse problems.

scholarly journals On a conjecture about spectral sets

2004 ◽  
Vol 139 (1-3) ◽  
pp. 1-15
Author(s):  
Karim Belaid ◽  
Othman Echi
Keyword(s):  
Spectral Sets

The injection and the projection theorem for spectral sets

1981 ◽  
Vol 92 (3) ◽  
pp. 167-177 ◽  
Author(s):  
Wilfried Hauenschild ◽  
Jean Ludwig
Keyword(s):  
Spectral Sets ◽  
Projection Theorem

Lower Bounds on the Odds Against Tree Spectral Sets

2011 ◽  
Vol 38 ◽  
pp. 559-564
Author(s):  
Vadim E. Levit ◽  
David Tankus
Keyword(s):  
Lower Bounds ◽  
Spectral Sets
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