Prof. Dr. Dietmar Vogt
Anschrift:
Prof. Dr. Dietmar Vogt
Fakultät für Mathematik und Naturwissenschaften
Bergische Universität Wuppertal
Gaußstr. 20
D – 42097 Wuppertal
Deutschland
Tel.: (+49) 202 439 2534
Fax: (+49) 202 439 3724
Email: dvogt@math.uni-wuppertal.de
Raum G 16.05
Sprechstunde nach Vereinbarung
Aktuelle
Veröffentlichungen und Vorabdrucke:
1. D. Vogt: Euler
partial differential equations and Schwartz distributions, arXiv:1806.00763,
(2018), Proc. Amer. Math. Soc. 148 (2020),
185—191.
2.
D. Vogt: Hadamard
type operators on temperate distributions, arXiv:1812.06299,
(2018), J. Math. Anal. Appl. (2019), DOI 10.1016/j.jmaa.2019.12399.
3.
D. Vogt: Surjectivity
of Euler operators on temperate distributions, J. Math. Anal. Appl. 466 (2018), 1393--1399.
4.
D. Vogt: Hadamard
operators on $\mathscr{D}’(\Omega)$, arXiv:1902.03078,
(2016), Math. Nachr.290 (2017),
1374—1380.
5.
D. Vogt: Hadamard
operators on $\mathscr{D}'(R^d)$, arXiv:1511.08593, (2015), Studia Math. 237 (2017), 137—152.
6.
P.
Domanski, M. Langenbruch, D. Vogt: Hadamard
type operators on spaces of real
analytic functions in several variables, J.
Funct. Anal. 269 (2015), 3868-–3913.
7.
D. Vogt: $\mathscr{E}’$
as an algebra by multiplicative convolution, Functiones et Approximatio 59 (2018), 117--128.
8.
D. Vogt: Operators
of Hadamard type on spaces of smooth functions, Math. Nachr. 288 (2015),
353--361.
9.
D. Vogt: A
fundamental system of seminorms for A(K), arXiv:1309.6292, (2013).
10. D. Vogt: Spaces of
Whitney-jets on self-similar sets,
Studia Math. 218 (2013), 89-94.
11. D. Vogt: Unitary
endomorphisms of power series spaces, Math. Forum, v. 7, Studies on Mathematical Analysis, Vladikavkaz, (2013), 220-239.
12. D. Vogt: A
characteristic property of the space s, Proc. Amer. Math. Soc. 143 (2015), 1183-1187; arXiv:1304.3820, (2013).
13. D. Vogt: Non-natural
topologies on spaces of holomorphic functions, Ann. Polon. Math. 108 (2013), 215-217.
14. D.
Vogt: Restriction
spaces of $A^\infty$ , Rev. Mat.
Iberoaméricana 30.1 (2014), 65-78.
15.
D. Vogt: Right
inverses for P(D) in spaces of real
analytic functions, in: The
Mathematical Legacy of Leon Ehrenpreis, Eds: I. Sabadini, D. Struppa, Springer
Procceedings in Mathematics 16 (2012),
353-366.
16.
D. Vogt: On the
splitting relation for Fréchet-Hilbert spaces , Functiones et Approximatio 44 (2011), 215-225.
17.
D. Vogt: A
nuclear Fréchet space consisting of $C^\infty$-functions and failing the
bounded approximation property, Proc. Amer. Math. Soc. 138 (2010),
1421-1423.
18.
P. Domanski, D. Vogt: The
coherence of complemented ideals in the space of real analytic functions ,
Math. Ann. 347 (2010), 395-409.
19. D. Vogt: Complemented ideals in $A(R^d)$ of algebraic curves, Arch. Math. 92 (2009), 531-537.
20.
D. Vogt: The
tensor algebra of power series spaces , Studia Math. 193 (2009),
189-202.
21.
D. Vogt: Linear
topological properties of spaces $H^\om$ and of spaces of ultradifferentiable
functions , in: Functional Analysis and Complex Analysis, Eds: A.
Aytuna, R. Meise, T. Terzioglu, D. Vogt, Contemporary Mathematics 481,
AMS (2009), 145--158.
22.
D. Vogt: Section
spaces of real analytic vector bundles and a theorem of Grothendieck and Poly in:
Generalized functions and its applications, Eds: A. Kaminski, M.
Oberguggenberger, S. Pilipovic, Banach Center Publ. 88 (2010),
315--321.
23. D. Vogt: Extension of Fréchet valued real analytic functions from subvarieties of $R^d$, Math. Nachr. 6 (2008), 903-911.
24. D. Vogt: A division theorem for real analytic functions, Bull. London Math. Soc. 39 (2007), 818--828
25. D. Vogt: Real analytic zero solutions of linear partial differential operators with constant coefficients , Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 577-586.
26. D. Vogt: Extension operators for real analytic functions on compact subvarieties of $R^d$, J. reine angew. Math. 606 (2007), 217-233.
27. D. Vogt: Invariants and spaces of zero solutions of linear partial differential operators. Arch. Math. 87 (2006), 163-171.
28.
D.
Vogt: A nuclear Fréchet space of
$C^\infty$-functions which has no basis. Note Mat. 25
(2006), 189-192.
29. D. Vogt: Fréchet valued real analytic functions. Bull. Soc. Roy. Sc. Liège 73 (2004), 155-170.
30. D. Vogt: Splitting of exact sequences of Fréchet spaces in the absence of continuous norms. J. Math. Analysis and Appl. 297 (2004), 812-832.
31. P. Domanski, D. Vogt: Infinite systems of linear equations for real analytic functions. Proc. Amer. Math. Soc. 132 (2004), 3607-3614.
32. D. Vogt: Structure theory of power series spaces of infinite type. Rev. R. Acad. Cien. Serie A. Mat. 97 (2) (2003), 1-25.
33. P. Domanski, L. Frerick, D. Vogt: Fréchet quotients of spaces of real analytic functions. Studia Math. 159 (2003), no. 2, 229--245.
34. P. Domanski, D. Vogt: A non-trivial Fréchet quotient of the space of real analytic functions. Arch. Math. 81 (2003), 208-214
35. J. Bonet, P. Domanski, D. Vogt: Interpolation of vector valued real analytic functions. J. London Math. Soc. 66 (2002), 407-420.
36. D. Vogt: The tensor algebra of the space s. in: Hommage à Pascal Laubin, Bull. Soc. Roy. Sc. Liège 70 (2001), 435-440.
Unveröffentlichte
oder schwer zugängliche Arbeiten:
37.
D. Vogt: On the solvability
of P(D)f = g for vector valued functions, RIMS Kokyoroku 508 (1983), 168-182.
38.
D. Vogt: Interpolation of
nuclear operators and a splitting theorem for exact sequences of Frèchet spaces,
Functional
Analysis Seminar Düsseldorf/Wuppertal December 1986
39.
D. Vogt: Operators between
Frèchet spaces, Analysis Conference Manila 1987
40.
D. Vogt: Lectures
on restriction spaces of $A\infty$, Functional Analysis Seminar Wuppertal January 2013
Lehre:
Lectures in Poznan, April-May
2010
Fréchet spaces, theory and applications in analysis
Skript und Übungen zu Veranstaltungen im
Sommersemester 2008
Partielle Differentialgleichungen, Dienstag und Donnerstag, 10 – 12 Uhr, Raum G 15.22
Übungen dazu (mit Dr. Thomas Kalmes), Dienstag, 8 – 10 Uhr, Raum G 15.22.
Begleittext zur Vorlesung im
Wintersemesters 2007/08
Funktionalanalysis III , Dienstag und Freitag, 10 – 12 Uhr, G 15.25.
Skript und Übungen zu Veranstaltungen im
Sommersemester 2007
Funktionalanalysis II , Dienstag und Donnerstag, 10 – 12 Uhr, Raum G 15.22
Übungen zur Funktionalanalysis (mit Dr. Xanthi Karidopoulou).
Skript und Übungen
zu Veranstaltungen des Wintersemesters 2006/07:
Einführung in die
Funktionalanalysis, Dienstag und Donnerstag, 10 – 12 Uhr, Raum G
15.22
Übungen zur
Funktionalanalysis (mit Dr. Xanthi Karidopoulou).
D. Vogt,
19.11.2012