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Giordano, Paolo; Kunzinger, Michael; Vernaeve, Hans

Strongly internal sets and generalized smooth functions. (English) Zbl 1328.46037

J. Math. Anal. Appl. 422, No. 1, 56-71 (2015).

Reviewer: Biljana Tome Jolevska-Tuneska (Skopje)

MSC: 46F30

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Erlacher, Evelina

Inversion of Colombeau generalized functions. (English) Zbl 1281.46039

Proc. Edinb. Math. Soc., II. Ser. 56, No. 2, 469-500 (2013).

Reviewer: Michael Kunzinger (Wien)

MSC: 46F30 47J07

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Erlacher, Evelina; Grosser, Michael

Ordinary differential equations in algebras of generalized functions. (English) Zbl 1275.46025

Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 253-270 (2013).

Reviewer: Denis Sidorov (Irkutsk)

MSC: 46F30 34G99

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Giordano, Paolo; Kunzinger, Michael

New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem. (English) Zbl 1261.46032

J. Math. Anal. Appl. 399, No. 1, 229-238 (2013).

Reviewer: Deshna Loonker (Jodhpur)

MSC: 46F30 54A99

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Pilipović, Stevan; Scarpalézos, Dimitris

Harmonic generalized functions in generalized function algebras. (English) Zbl 1221.46044

Monatsh. Math. 163, No. 1, 81-106 (2011).

Reviewer: Denis Sidorov (Irkutsk)

MSC: 46F30 46T30

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Pointwise characterizations in generalized function algebras. (English) Zbl 1187.46032

Monatsh. Math. 158, No. 2, 195-213 (2009).

Reviewer: Antoine Delcroix (Pointe-a-Pitre)

MSC: 46F30 26E99

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Konjik, Sanja; Kunzinger, Michael; Oberguggenberger, Michael

Foundations of the calculus of variations in generalized function algebras. (English) Zbl 1146.49021

Acta Appl. Math. 103, No. 2, 169-199 (2008).

MSC: 49K27 49J27 46F30 37K05

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Group invariant Colombeau generalized functions. (English) Zbl 1140.46020

Monatsh. Math. 153, No. 2, 165-175 (2008).

MSC: 46F30 46S20

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Hanel, Clemens; Mayerhofer, Eberhard; Pilipović, Stevan; Vernaeve, Hans

Homogeneity in generalized function algebras. (English) Zbl 1140.46019

J. Math. Anal. Appl. 339, No. 2, 889-904 (2008).

Reviewer: Michael Kunzinger (Wien)

MSC: 46F30 46F10

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