|
|
Caspian Journal of Mathematical Sciences، جلد ۱۱، شماره ۲، صفحات ۴۶۱-۴۷۹
|
|
|
| عنوان فارسی |
|
|
| چکیده فارسی مقاله |
|
|
| کلیدواژه‌های فارسی مقاله |
|
|
| عنوان انگلیسی |
Nonuniform Dual Wavelets Associated with Linear Canonical Transform |
|
| چکیده انگلیسی مقاله |
A generalization of Mallat’s classical multiresolution analysis, based on the theory of spectral pairs, was considered in two articles by Gabardo and Nashed. In this setting, the associated translation set is no longer a discrete subgroup of R but a spectrum associated with a certain one-dimensional spectral pair and the associated dilation is an even positive integer related to the given spectral pair. In this paper, we are interested in the dual wavelets whose construction depends on nonuniform multiresolution analysis associated with linear canonical transform. Here we prove that if the translates of the scaling functions of two multiresolution analyses in linear canonical transform settings are biorthogonal, so are the wavelet families which are associated with them. Under mild assumptions on the scaling functions and the wavelets, we also show that the wavelets generate Riesz bases |
|
| کلیدواژه‌های انگلیسی مقاله |
Nonuniform, Biorthogonal, Scaling function, Linear Canonical Transform |
|
| نویسندگان مقاله |
Mohammad Younus Bhat |
Department of Mathematical sciences Islamic university of science and technology Awantipora
Aamir H Dar |
Department of mathematical sciences Islamic university of science and technology Awantipora
|
|
| نشانی اینترنتی |
https://cjms.journals.umz.ac.ir/article_3666_bece46492c298f7351213464ea35814a.pdf |
| فایل مقاله |
فایلی برای مقاله ذخیره نشده است |
| کد مقاله (doi) |
|
| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
|
| نوع مقاله منتشر شده |
|
|
|
|
برگشت به:
صفحه اول پایگاه |
نسخه مرتبط |
نشریه مرتبط |
فهرست نشریات
|