تقرير
New composition products for complex harmonic functions, the dynamic with respect to these and composition operators induced
| العنوان: | New composition products for complex harmonic functions, the dynamic with respect to these and composition operators induced |
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| المؤلفون: | Benítez, Luis E., Felipe, Raúl |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Complex Variables, Primary 31A05, Secondary 30H10 |
| الوصف: | In this work we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here we begin the study of the iterations of the functions of this class showing briefly their potential to be a topic of future research. In parallel, we define and study composition operators whose symbols belong to a Hardy space of complex harmonic functions also introduced in the work. All this constitutes a previous work for the research of semigroups and evolutionary families composed of complex harmonic functions. Comment: 10 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2202.03201 |
| رقم الأكسشن: | edsarx.2202.03201 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |