A nonlinear theory of generalized functions. (English) Zbl 1506.46036
Summary: Generalized functions are crucial in the development of theories modeling physical reality. Starting with the linear theory, we give a partial account of what is known, focussing on the non-linear theory and some of its more recent achievements.
MSC:
| 46F30 | Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) |
| 46F20 | Distributions and ultradistributions as boundary values of analytic functions |
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