Representation of generalized Toeplitz kernels with a finite number of negative squares
Let F be a measurable «-indefinite generalized Toeplitz kernel defined on a, finite or infinite, interval. We prove that F = F^ -Iwhere is a «-indefinite generalized Toeplitz kernel given by four continuous functions and F ^ is a positive definite generalized Toeplitz kernel which vanishes almost ev...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16422 |
| Tartalmi kivonat: | Let F be a measurable «-indefinite generalized Toeplitz kernel defined on a, finite or infinite, interval. We prove that F = F^ -Iwhere is a «-indefinite generalized Toeplitz kernel given by four continuous functions and F ^ is a positive definite generalized Toeplitz kernel which vanishes almost everywhere. We also prove an extension result for measurable «-indefinite generalized Toeplitz kernels defined on a finite interval. |
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| Terjedelem/Fizikai jellemzők: | 111-128 |
| ISSN: | 0001-6969 |