کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603493 1336962 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the invertibility of “rectangular” bi-infinite matrices and applications in time–frequency analysis
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the invertibility of “rectangular” bi-infinite matrices and applications in time–frequency analysis
چکیده انگلیسی

Finite dimensional matrices with more columns than rows have no left inverses while those with more rows than columns have no right inverses. We give generalizations of these simple facts to bi–infinite matrices. Our results are then used to obtain density results for p-frames of time–frequency molecules in modulation spaces and identifiability results for operators with bandlimited Kohn–Nirenberg symbols.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 1, 1 July 2008, Pages 331-345