convolution algebra造句
例句與造句
- Just as with finite groups, we can define the convolution algebra.
- Thus, the convolution algebra and the group algebra are isomorphic as algebras.
- Instead the convolution algebra L ^ 1 ( G ) takes its place.
- The Mellin transform may also be viewed as the Gelfand transform for the convolution algebra of the locally compact abelian group of positive real numbers with multiplication.
- Another characterization in Lie group theory is of U ( \ mathfrak { g } ) as the convolution algebra of supported only at the identity element of.
- It's difficult to find convolution algebra in a sentence. 用convolution algebra造句挺難的
- An approximate identity in a convolution algebra plays the same role as a sequence of function approximations to the Dirac delta function ( which is the identity element for convolution ).
- Using the convolution algebra we can implement a Fourier transformation on a group G . In the area of harmonic analysis it is shown that the following definition is consistent with the definition of the Fourier transformation on \ R.
- These include : the " convolution quotient " theory of Jan Mikusinski, based on the field of fractions of convolution algebras that are integral domains; and the theories of hyperfunctions, based ( in their initial conception ) on boundary values of analytic functions, and now making use of sheaf theory.
- In the following we will define the convolution algebra : Let G be a group, the set L ^ 1 ( G ) : = \ { f : G \ to \ C \ } is a \ C vector space with the operations addition and scalar multiplication then this vector space is isomorphic to \ C ^ { | G | }.