کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900324 1631559 2018 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Function spaces obeying a time-varying bandlimit
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Function spaces obeying a time-varying bandlimit
چکیده انگلیسی
Motivated by applications to signal processing and mathematical physics, recent work on the concept of time-varying bandwidth has produced a class of function spaces which generalize the Paley-Wiener spaces of bandlimited functions: any regular simple symmetric linear transformation with deficiency indices (1,1) is naturally represented as multiplication by the independent variable in one of these spaces. We explicitly demonstrate the equivalence of this model for such linear transformations to several other functional models based on the theories of meromorphic model spaces of Hardy space and purely atomic Herglotz measures on the real line, respectively. This theory provides a precise notion of a time-varying or local bandwidth, and we describe how it may be applied to construct signal processing techniques that are adapted to signals obeying a time-varying bandlimit.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 458, Issue 2, 15 February 2018, Pages 1597-1638
نویسندگان
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