کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603470 1336962 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrices with convolutions of binomial functions and Krawtchouk matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Matrices with convolutions of binomial functions and Krawtchouk matrices
چکیده انگلیسی

We introduce a class SN of matrices whose elements are terms of convolutions of binomial functions of complex numbers. A multiplication theorem is proved for elements of SN. The multiplication theorem establishes a homomorphism of the group of 2 by 2 nonsingular matrices with complex elements into a group GN contained in SN. As a direct consequence of representation theory, we also present related spectral representations for special members of GN. We show that a subset of GN constitutes the system of Krawtchouk matrices, which extends published results for the symmetric case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 1, 1 July 2008, Pages 50-56