Email this article Properties of the Radial Part of the Laplace Operator for l=1 in a Special Scalar Product
- Authors: Bolokhov T.A.1
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Affiliations:
- St.Petersburg Department of the Steklov Mathematical Institute
- Issue: Vol 215, No 5 (2016)
- Pages: 560-573
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237658
- DOI: https://doi.org/10.1007/s10958-016-2861-7
- ID: 237658
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Abstract
We develop self-adjoint extensions of the radial part of the Laplace operator for l = 1 in a special scalar product. The product arises under the passage of the standard product from ℝ3 to the set of functions parametrizing one of two components of the transverse vector field. Similar extensions are treated for the square of the inverse operator of the radial part in question. Bibliography: 8 titles.
About the authors
T. A. Bolokhov
St.Petersburg Department of the Steklov Mathematical Institute
Author for correspondence.
Email: timur@pdmi.ras.ru
Russian Federation, St.Petersburg
