Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields

التفاصيل البيبلوغرافية
العنوان: Convergence of Subdivision Schemes and Smoothness of Refinable Functions on p-adic Fields
المؤلفون: N, Athira, C, Lineesh M
سنة النشر: 2024
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Mathematics - Functional Analysis, 11E95, 11F85, 39B12, 42C15, 43A70
الوصف: A systematic and comprehensive study of p-adic refinement equations and subdivision scheme associated with a finitely supported refinement mask are carried out in this paper. The Lq -convergence of the subdivision scheme is characterized in terms of the q-norm joint spectral radii of a collection of operators associated with the refinement mask. Also, the smoothness of complex-valued functions on Qp is investigated.
Comment: arXiv admin note: text overlap with arXiv:2406.05368
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.06628
رقم الأكسشن: edsarx.2406.06628
قاعدة البيانات: arXiv