On Harmonic Polynomials Invariant under Unitary Transformations

التفاصيل البيبلوغرافية
العنوان: On Harmonic Polynomials Invariant under Unitary Transformations
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