J. Colombeau, Elementary Introduction to New Generalized Functions. North-Holland, MR, vol.86, p.46042, 1985.

A. Delcroix, A new approach to temperate generalized Colombeau functions, Publications de l'Institut Mathematique, vol.84, issue.98, pp.98-109, 2008.
DOI : 10.2298/PIM0898109D

A. Delcroix, M. F. Hasler, S. Pilipovi´cpilipovi´c, and V. Valmorin, Sequence spaces with exponent weights. Realizations of Colombeau type algebras, Dissertationes Mathematicae, vol.447, pp.1-56, 2007.
DOI : 10.4064/dm447-0-1
URL : https://hal.archives-ouvertes.fr/hal-00758044

A. Delcroix and D. Scarpalézos, Asymptotic scales-asymptotic algebras, Integral Transforms and Special Functions, vol.45, issue.1-4, pp.157-166, 1997.
DOI : 10.1070/RM1990v045n05ABEH002683

A. Delcroix, V. Devoué, and J. Marti, Generalized solutions of singular differential problems. Relationship with classical solutions, Journal of Mathematical Analysis and Applications, vol.353, issue.1, pp.386-402, 2009.
DOI : 10.1016/j.jmaa.2008.11.077

V. Dévoué, Generalized solutions to a non-Lipschitz Goursat problem, Diff. Equa & Appl, vol.1, issue.2, pp.153-178, 2009.

V. Dévoué, Generalized solutions to a non-Lipschitz Cauchy problem, J. Appl. Anal, vol.151, pp.1-32, 2009.

V. Dévoué, M. Hasler, and J. Marti, Multidimensional asymptotic spectral analysis and applications. to appear in Applicable Analysis, 2010.

M. Grosser, M. Kunzinger, M. Oberguggenberger, and R. Steinbauer, Geometric Theory of Generalized Functions with Applications to General Relativity, 2001.
DOI : 10.1007/978-94-015-9845-3

M. F. Hasler, Asymptotic extension of topological modules and algebras, Integral Transforms and Special Functions, vol.6, issue.3-4, pp.291-299, 2009.
DOI : 10.1080/10652460500437807
URL : https://hal.archives-ouvertes.fr/hal-00761666

V. Khoan, Distributions, analyse de Fourier, opérateurs aux dérivées partielles, tome II, 1972.

J. Marti, Regularity, Local and Microlocal Analysis in Theories of??Generalized Functions, Acta Applicandae Mathematicae, vol.14, issue.3, pp.267-302, 2009.
DOI : 10.1007/s10440-008-9275-6
URL : https://hal.archives-ouvertes.fr/hal-00190006

J. Marti, Nonlinear algebraic analysis of delta shock wave solutions to Burgers??? equation, Pacific Journal of Mathematics, vol.210, issue.1, pp.165-187, 2003.
DOI : 10.2140/pjm.2003.210.165

H. Vernaeve, Pointwise characterizations in generalized function algebras, Monatshefte f??r Mathematik, vol.341, issue.6, pp.195-213, 2009.
DOI : 10.1007/s00605-008-0032-8