Add to ORKGWe apply regularization of divergent integrals in the derivation of the asymptotic expansion of certain multi-dimensional generalized functions. We further present several illustrations to demonstrate that the asymptotic development of generalized functions provides a lucid formulation of many concepts in asymptotic analysis such as the expansion of oscillatory integrals and the expansion of certain series. © 1992
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
AbstractWe introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study t...
We study generalized functions f{hook}(x) that admit the asymptotic separation of variables f{hook}(...
AbstractWe apply regularization of divergent integrals in the derivation of the asymptotic expansion...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
We introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study the diver...
We define a type of generalized asymptotic series called v-asymptotic. We show that every func tion ...
We define a type of generalized asymptotic series called v-asymptotic. We show that every function w...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
By a regularization at the origin is meant an extension to R(n) of a suitable distribution initially...
By a regularization at the origin is meant an extension to R(n) of a suitable distribution initially...
A technique for obtaining asymptotic expansions of integrals by approximating the integrand and then...
AbstractWe study generalized functions ƒ(x) that admit the asymptotic separation of variables ƒ(λx) ...
AbstractWe study generalized functions ƒ(x) that admit the asymptotic separation of variables ƒ(λx) ...
Divergent series of Dirac delta functions have been used in the solution of ordinary and functional ...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
AbstractWe introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study t...
We study generalized functions f{hook}(x) that admit the asymptotic separation of variables f{hook}(...
AbstractWe apply regularization of divergent integrals in the derivation of the asymptotic expansion...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
We introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study the diver...
We define a type of generalized asymptotic series called v-asymptotic. We show that every func tion ...
We define a type of generalized asymptotic series called v-asymptotic. We show that every function w...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
By a regularization at the origin is meant an extension to R(n) of a suitable distribution initially...
By a regularization at the origin is meant an extension to R(n) of a suitable distribution initially...
A technique for obtaining asymptotic expansions of integrals by approximating the integrand and then...
AbstractWe study generalized functions ƒ(x) that admit the asymptotic separation of variables ƒ(λx) ...
AbstractWe study generalized functions ƒ(x) that admit the asymptotic separation of variables ƒ(λx) ...
Divergent series of Dirac delta functions have been used in the solution of ordinary and functional ...
AbstractWe define a type of generalized asymptotic series called v-asymptotic. We show that every fu...
AbstractWe introduce the concepts of pre-asymptotic schemes and pre-asymptotic expansions to study t...
We study generalized functions f{hook}(x) that admit the asymptotic separation of variables f{hook}(...