On Harmonic Polynomials Invariant under Unitary Transformations
العنوان: | On Harmonic Polynomials Invariant under Unitary Transformations |
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المؤلفون: | D. V. Kozoriz, Alexandr Vasil'evich Loboda, B. M. Darinskii |
المصدر: | Mathematical Notes. 109:896-908 |
بيانات النشر: | Pleiades Publishing Ltd, 2021. |
سنة النشر: | 2021 |
مصطلحات موضوعية: | Pure mathematics, Polynomial, Hypersurface, Dimension (vector space), General Mathematics, Isotropy, Holomorphic function, Harmonic (mathematics), Invariant (mathematics), Unitary state, Mathematics |
الوصف: | Unitary transformations and canonical representatives of a family of real-valued harmonic fourth-degree polynomials in three complex variables are studied. The subject relates to the study of Moser normal equations for real hypersurfaces of four-dimensional complex spaces and isotropy groups (holomorphic stabilizers) of such surfaces. The dimension of the stabilizer for a particular strictly pseudo-convex hypersurface is estimated from above by the dimension of a unitary subgroup preserving the fourth-degree polynomial from its normal equation. |
تدمد: | 1573-8876 0001-4346 |
الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::87e89b58ec1757f08de5f95048e6066dTest https://doi.org/10.1134/s0001434621050230Test |
حقوق: | CLOSED |
رقم الانضمام: | edsair.doi...........87e89b58ec1757f08de5f95048e6066d |
قاعدة البيانات: | OpenAIRE |
تدمد: | 15738876 00014346 |
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