کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630628 1340604 2011 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrix Wiener transform
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Matrix Wiener transform
چکیده انگلیسی

In this paper we analyse some properties of the matricial expression of the Fourier–Wiener transform, a matrix transform firstly treated by Cameron and Martin for analytic functions [3] and [4]. Here the referred properties are a composition formula, a Parseval relation and an inversion formula, which, according to Segal (1956) [13] extends an unitary explicit integral representation of the second quantization for one integral operator of the Wiener transform [12]. This work includes the unitary extension of the transform to L2(Rn,dμc), where f   belongs to the class of complex valued polynomials on RnRn, and dμc being the Gaussian measure on RnRn as a unitary map [5].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 3, 1 October 2011, Pages 773–776
نویسندگان
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