Convolution Operators with Weakly Oscillating Coeffcients in Hilbert Moduli on Groups and Applications
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2427-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2427-0 | ||
| 100 | 1 | |a Deundyak |D V. |u Southern Federal University, 105/42 Sadovaya St., 344006, Rostov-on-Don, Russia |4 aut | |
| 245 | 1 | 0 | |a Convolution Operators with Weakly Oscillating Coeffcients in Hilbert Moduli on Groups and Applications |h [Elektronische Daten] |c [V. Deundyak] |
| 520 | 3 | |a For an arbitrary C * -algebra we study the solvability of convolution operators on locally compact groups with weakly oscillating coefficients in Hilbert -moduli. We construct the symbolic calculus, find conditions for the -Fredholm property, and obtain a formula for computing the -index. The obtained results are applied to the theory of operators with homogeneous kernels. In particular, we introduce the C * -algebra of operators with anisotropically homogeneous -kernels and multiplicatively weakly oscillating coefficients. We construct the convolution representation and obtain the Fredholm property for operators of the algebra . Bibliography: 17 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 100-108 |x 1072-3374 |q 208:1<100 |1 2015 |2 208 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2427-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2427-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Deundyak |D V. |u Southern Federal University, 105/42 Sadovaya St., 344006, Rostov-on-Don, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 208/1(2015-06-01), 100-108 |x 1072-3374 |q 208:1<100 |1 2015 |2 208 |o 10958 | ||