Related papers: The Schwartz functions and the derivation
This paper has been withdrawn by the author due to the unsure solutions to the Dyson-Schwinger equation.
Paper withdrawn, see math-ph/0505072
This paper has been withdrawn by the author(s). The material contained in the paper will be published in a subtantially reorganized form, part of it is now included in math.QA/0510174
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This paper has been withdrawn by the author
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors due to its publication
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
This paper has been withdrawn by the authors due to the paper is far from complishment.
This paper has been withdrawn by the author.
The spatiality of derivations of quasi *-algebras is investigated by means of representation theory. Moreover, in view of physical applications, the spatiality of the limit of a family of spatial derivations is considered.
The paper study the discrete sets of translations of the Gaussian function that span the spaces L1(R) and L2(R).
This paper has been withdrawn by the author due to some error in the result
This paper has been withdrawn by the author
This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.
The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.
Starting from a recent result expressing the Lerch zeta function as a fractional derivative, we consider further fractional derivatives of the Lerch zeta function with respect to different variables. We establish a partial differential…
This paper has been withdrawn by the author. Proofs of two propositions need more details.
Here we simplify the proof of the de Rham theorem for Schwartz functions on affine Nash manifolds and generalize the result to the case of non affine Nash manifolds.
A method for obtaining discretization formulas for the derivatives of a function is presented, which relies on a generalization of divided differences. These modified divided differences essentially correspond to a change of the dependent…