کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627603 | 1631812 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A natural convolution of quaternion valued functions and its applications
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A natural convolution of quaternion valued functions and its applications A natural convolution of quaternion valued functions and its applications](/preview/png/4627603.png)
چکیده انگلیسی
We introduce a natural convolution of two suitable quaternion valued functions on R and list down its properties. Using this convolution, first we get the convolution theorem for Fourier transform on quaternion valued functions. Next, we modify the existing definition of wavelet transform on square integrable quaternion valued functions in a natural manner so that Parseval's identity is obtained without any additional conditions. Applying the Parseval's identity, we derive the inversion formula for the wavelet transform and we also prove the other properties like linearity, continuity and injectivity. Finally, we construct two Boehmian space of quaternion valued functions and extend the wavelet transform as a continuous linear injection from one Boehmian space into the other space.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 633-642
Journal: Applied Mathematics and Computation - Volume 242, 1 September 2014, Pages 633-642
نویسندگان
Lakshmanan Akila, Rajakumar Roopkumar,