Multiplication of distributions
نویسندگان
چکیده
منابع مشابه
New ideas about multiplication of tensorial distributions
There is a huge need in general relativity for a consistent and useful mathematical theory defining the multiplication of tensor distributions in a geometric (diffeomorphism invariant) way. Significant progress has been made through the concept of Colombeau algebras, and the construction of full Colombeau algebras on differential manifolds for arbitrary tensors. Despite the fact that this goal ...
متن کاملData Distributions for Sparse Matrix Vector Multiplication
Sparse matrix vector multiplication (SpMxV) is often one of the core components of many scientific applications. Many authors have proposed methods for its data distribution in distributed memory multiprocessors. We can classify these into four groups: Scatter, D-Way Strip, Recursive and Miscellaneous. In this work we propose a new method (Multiple Recursive Decomposition (MRD)), which partitio...
متن کاملAsymptotic Functions and the Problem of Multiplication of Distributions
The asymptotic functions are a new type of generalized functions. But they are r ot function als on some space or test-functions as the Schwartz distributions. They are mapp ings of the set of the asymptotic numbers (1. 3, 5, 6) into Itself. On its part, the set of the asymptotic numbers is a totally·ordercd set of generalized numbers Including the systems of real and complex numbers, as well ...
متن کاملData distributions for sparse matrix vector multiplication i
Sparse matrix vector multiplication (SpMxV) is often one of the core components of many scientific applications. Many authors have proposed methods for its data distribution in distributed memory multiprocessors. We can classify these into four groups: Scatter, D-Way Strip, Recursive and Miscellaneous. In this work we propose a new method (Multiple Recursive Decomposition (MRD)), which partitio...
متن کاملDistributions with Dynamic Test Functions and Multiplication by Discontinuous Functions
As follows from the Schwartz Impossibility Theorem, multiplication of two distributions is in general impossible. Nevertheless, often one needs to multiply a distribution by a discontinuous function, not by an arbitrary distribution. In the present paper we construct a space of distributions where the general operation of multiplication by a discontinuous function is defined, continuous, commut...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1969
ISSN: 0022-247X
DOI: 10.1016/0022-247x(69)90246-7