کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4590642 1334974 2013 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Inner functions on the bidisk and associated Hilbert spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Inner functions on the bidisk and associated Hilbert spaces
چکیده انگلیسی

Matrix valued inner functions on the bidisk have a number of natural subspaces of the Hardy space on the torus associated to them. We study their relationship to Agler decompositions, regularity up to the boundary, and restriction maps into one variable spaces. We give a complete description of the important spaces associated to matrix rational inner functions. The dimension of some of these spaces can be computed in a straightforward way, and this ends up having an application to the study of three variable rational inner functions. Examples are included to highlight the differences between the scalar and matrix cases.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 265, Issue 11, 1 December 2013, Pages 2753–2790
نویسندگان
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