1 |
Ya. V. Radyno, N. F. Tkhan, and S. Ramdan, The Fourier transformation in an algebra of new generalized functions, Dokl. Akad. Nauk 327 (1992), no. 1, 20–24; translation in Russian Acad. Sci. Dokl. Math. 46 (1993), no. 3, 414–417.
|
2 |
L. Schwartz, Theorie des distributions, Hermann, Paris, 1966.
|
3 |
L. Volevich and S. Gindikin, The Cauchy problem and related problems for convolution
equations, Uspehi Mat. Nauk 27 (1972), no. 4(166), 65–143.
|
4 |
J. Chung, S. Y. Chung, and D. Kim, Une caracterisation de l’espace S de Schwartz, C.
R. Acad. Sci. Paris Ser. I Math. 316 (1993), no. 1, 23–25.
|
5 |
J. F. Colombeau, New Generalized Functions and Multiplication of Distributions, North-Holland Publishing Co., Amsterdam, 1984.
|
6 |
A. Delcroix, Regular rapidly decreasing nonlinear generalized functions. Application to
microlocal regularity, J. Math. Anal. Appl. 327 (2007), no. 1, 564–584.
DOI
ScienceOn
|
7 |
C. Garetto, Pseudo-differential operators in algebras of generalized functions and global
hypoellipticity, Acta Appl. Math. 80 (2004), no. 2, 123–174.
DOI
|
8 |
I. M. Gel’fand and G. E. Shilov, Generalized Functions, Vol. 2, Academic Press, 1967.
|
9 |
K. Grochenig and G. Zimmermann, Spaces of test functions via the STFT, J. Funct.
Spaces Appl. 2 (2004), no. 1, 25–53.
DOI
|
10 |
L. Hormander, Distributions Theory And Fourier Analysis, Springer, 1983.
|
11 |
M. Grosser, M. Kunzinger, M. Oberguggenberger, and R. Steinbauer, Geometric Theory of Generalized Functions with Applications to General Relativity, Kluwer Academic Publishers, Dordrecht, 2001.
|
12 |
A. I. Kashpirovski, Equality of the spaces and , Funct. Anal. Appl. 14 (1980),
p. 129.
DOI
|
13 |
H. A. Biagioni and M. Oberguggenberger, Generalized solutions to the Korteweg-de
Vries and the regularized long-wave equations, SIAM J. Math. Anal. 23 (1992), no. 4,
923–940.
DOI
|
14 |
M. Oberguggenberger, Regularity theory in Colombeau algebras, Bull. Cl. Sci. Math.
Nat. Sci. Math. No. 31 (2006), 147–162.
|
15 |
N. Ortner and P. Wagner, Applications of weighted to the convolution of
distributions, Bull. Polish Acad. Sci. Math. 37 (1989), no. 7-12, 579–595.
|
16 |
J. Alvarez and H. Obiedat, Characterizations of the Schwartz space S and the Beurling-Bjorck space , Cubo 6 (2004), no. 4, 167–183.
|
17 |
K. Benmeriem and C. Bouzar, Ultraregular generalized functions of Colombeau type, J.
Math. Sci. Univ. Tokyo 15 (2008), no. 4, 427–447.
|