Results on generalized models and singular products of distributions in the Colombeau algebra $\mathcal{G}(\mathbb R)$

ON BALANCED PRODUCTS OF THE DISTRIBUTIONS xa IN COLOMBEAU ALGEBRA G(R)

Colombeau products of distributions

In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association' that allows us to evalu...

Further Results on Colombeau Product of Distributions

In quantum physics one finds the need to evaluate δ, when calculating the transition rates of certain particle interactions; see [1]. The problem of defining products of distributions is also closely connected with the problem of renormalization in quantum field theory. Due to the large use of distributions in the natural sciences and other mathematical fields, the problem of the product of dis...

on translation of politeness strategies in dialogues involving female characters in translations and retranslations of novels translated before and after the islamic revolution of iran and their effects on the image of women: a polysystem theory approach

abstract reception environment has considerable effects on accepting a translation. as the expectations of a target culture and its values and needs change throughout history, its criteria for accepting a translation or rejecting it will change accordingly (gentzler, 2001). the expectations of iran, as the reception environment in the present study, have changed after the islamic revolution. i...

the u.s. policy in central asia and its impact on the colored revolutions in the region (the case study of tulip revolution in kyrgyzstan)

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