| Title:
|
Spectral properties of a certain class of Carleman operators (English) |
| Author:
|
Bahri, S. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
163-175 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The object of the present work is to construct all the generalized spectral functions of a certain class of Carleman operators in the Hilbert space $L^{2}\left( X,\mu \right) $ and establish the corresponding expansion theorems, when the deficiency indices are (1,1). This is done by constructing the generalized resolvents of $A$ and then using the Stieltjes inversion formula. (English) |
| Keyword:
|
spectral theory |
| Keyword:
|
integral operator |
| Keyword:
|
defect indices |
| MSC:
|
05C38 |
| MSC:
|
15A15 |
| idZBL:
|
Zbl 1164.05037 |
| idMR:
|
MR2354805 |
| . |
| Date available:
|
2008-06-06T22:51:02Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108062 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
