Convolvability and regularization of distributions

التفاصيل البيبلوغرافية
العنوان: Convolvability and regularization of distributions
المؤلفون: Bargetz, C., Nigsch, E. A., Ortner, N.
المصدر: Annali di Matematica 196(6): 2239-2251, 2017
سنة النشر: 2015
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis, 46F10, 46F05
الوصف: We apply L.~Schwartz' theory of vector valued distributions in order to simplify, unify and generalize statements about convolvability of distributions, their regularization properties and topological properties of sets of distributions. The proofs rely on propositions on the multiplication of vector-valued distributions and on the characterization of the spaces $\mathcal{O}_{M}(E,F)$ and $\mathcal{O}_{C}'(E,F)$ of multipliers and convolutors for distribution spaces $E$ and $F$.
نوع الوثيقة: Working Paper
DOI: 10.1007/s10231-017-0662-3
URL الوصول: http://arxiv.org/abs/1505.04599
رقم الأكسشن: edsarx.1505.04599
قاعدة البيانات: arXiv
الوصف
DOI:10.1007/s10231-017-0662-3