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Riccati equation in projecting solenoidal fields |
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| Authors: | M Belishev A Glasman |
| Affiliation: | a Saint-Petersburg Department of the Steklov Mathematical Institute, Fontanka 27, 191011 Saint-Petersburg, Russia b Saint-Petersburg State University, Fontanka 27, 191011 Saint-Petersburg, Russia |
| Abstract: | Unexpected relationship between the Riccati equation of the Layer Stripping Method and the projecting solenoidal vector fields is found out. A transform which diagonalizes a family of projectors on increasing subspaces of solenoidal fields is constructed. Due to the Ricatti equation the transform turns out to be isometrical. |
| Keywords: | Riccati equation Layer Stripping Method Projecting solenoidal fields |
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