Some applications of spectral sets. I. Harmonic-spectral measure

1967 ◽  
pp. 25-62 ◽  
Author(s):  
Ciprian Foiaş
Keyword(s):  
Spectral Measure ◽  
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 Concentration of the Spectral Measure for Large Matrices

2000 ◽  
Vol 5 (0) ◽  
pp. 119-136 ◽  
Author(s):  
Alice Guionnet ◽  
Ofer Zeitouni
Keyword(s):  
Spectral Measure
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