J. Colombeau, Elementary Introduction to New Generalized Functions, 1985.

A. Delcroix, A new approach to temperate generalized functions, Publ. Inst. Math. (Beograd), vol.84, pp.109-121, 2008.
DOI : 10.2298/pim0898109d

URL : https://hal.archives-ouvertes.fr/hal-00201458

A. Delcroix, M. F. Hasler, S. Pilipovi´cpilipovi´c, and V. Valmorin, Sequence spaces with exponent weights-Realizations of Colombeau type algebras, Diss. Math, 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.6, pp.157-166, 1997.
DOI : 10.1080/10652469808819162

URL : https://hal.archives-ouvertes.fr/hal-01529516

A. Delcroix, V. Devoué, and V. Marti, Generalized solutions of singular differential problems. Relationship with classical solutions, J. Math. Anal. Appl, vol.353, pp.386-402, 2009.
DOI : 10.1016/j.jmaa.2008.11.077

URL : https://hal.archives-ouvertes.fr/hal-01529550

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.15, pp.1-32, 2009.

V. Dévoué, M. Hasler, and J. Marti, Multidimensional asymptotic spectral analysis and applications, 2010.

M. Grosser, M. Kunzinger, M. Oberguggenberger, and R. Steinbauer, Geometric Theory of Generalized Functions with Applications to General Relativity, 2001.

M. F. Hasler, Asymptotic extension of topological modules and algebras, Integral Transforms and Special Functions, vol.20, pp.291-299, 2009.
DOI : 10.1080/10652460802565040

URL : https://hal.archives-ouvertes.fr/hal-00761666

V. Khoan, Distributions, analyse de Fourier, opérateurs différentiels (II). Vuibert, 1972.

J. Marti, E, P)-sheaf structures and applications. Nonlinear theory of generalized functions, Research notes in mathematics, pp.175-186, 1999.

J. Marti and . Regularity, Local and Microlocal Analysis in Theories of Generalized Functions, Act. Appl. Math, vol.105, pp.267-302, 2009.
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, pp.165-187, 2003.
DOI : 10.2140/pjm.2003.210.165

URL : http://msp.org/pjm/2003/210-1/pjm-v210-n1-p03-s.pdf

H. Vernaeve, Pointwise characterizations in generalized function algebras, Monatshefte f. Mathematik, vol.158, pp.195-213, 2009.
DOI : 10.1007/s00605-008-0032-8

URL : http://arxiv.org/pdf/0712.3464