Compactly Supported Distributional Solutions of Nonstationary Nonhomogeneous Reenement Equation

نویسنده

  • Qiyu Sun
چکیده

Let A be a matrix with the absolute values of all eigenvalues strictly larger than one, and let Z 0 be a subset of Z such that n 2 Z 0 implies n + 1 2 Z 0. Denote the space of all compactly supported distributions by D 0 , and the usual convolution between two compactly supported distributions f and g by f g.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Distributional Solutions of Nonhomogeneous Discrete and Continuous Refinement Equations

Discrete and continuous reenement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is nòuniversal' theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous reenement equations simultaneously....

متن کامل

Distributional Solutions of Nonhomogeneous

Discrete and continuous refinement equations have been widely studied in the literature for the last few years, due to their applications to the areas of wavelet analysis and geometric modeling. However, there is no “universal” theorem that deals with the problem about the existence of compactly supported distributional solutions for both discrete and continuous refinement equations simultaneou...

متن کامل

Matrix Reenement Equations: Existence and Uniqueness

Matrix reenement equations are functional equations of the form f(x) = P N k=0 c k f(2x ? k), where the coeecients c k are matrices and f is a vector-valued function. Reenement equations play key roles in wavelet theory and approximation theory. Existence and uniqueness properties of scalar reenement equations (where the coeecients c k are scalars) are known. This paper considers analogous ques...

متن کامل

Supported Solutions of Two { Scale Di erence Equations

We consider Lebesgue{integrable, compactly supported solutions of two{ scale diierence equations and investigate the relations between translates of these solutions. A detailed study of corresponding invariant subspaces leads to new observations concerning the factorization of the reenement mask and certain spectral properties of corresponding coeecient matrices. In particular, new necessary co...

متن کامل

The Method of Fundamental Solutions with Eigenfunction Expansion Method for Nonhomogeneous Diffusion Equation

In this article we describe a numerical method to solve a nonhomogeneous diffusion equation with arbitrary geometry by combining the method of fundamental solutions (MFS), the method of particular solutions (MPS), and the eigenfunction expansion method (EEM). This forms a meshless numerical scheme of the MFS-MPS-EEM model to solve nonhomogeneous diffusion equations with time-independent source ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999