Prof. Dr. Dietmar Vogt

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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), to appear in Proc. Amer. Math. Soc.

2.      D. Vogt: Hadamard type operators on temperate distributions,   arXiv:1812.06299, (2018),

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: Corrigendum to “Hadamard operators on $\mathscr{D}’(R^d)$”, [Studia Math.  237 (2017), 137—152].

6.      D. Vogt: Hadamard operators on $\mathscr{D}'(R^d)$,  arXiv:1511.08593, (2015), Studia Math. 237 (2017), 137—152.

7.      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.

8.      D. Vogt: $\mathscr{E}’$ as an algebra by multiplicative convolution,  Functiones et Approximatio  59 (2018), 117--128.

9.      D. Vogt: Operators of Hadamard type on spaces of smooth functions,  Math. Nachr.   288 (2015), 353--361.

10.  D. Vogt: A fundamental system of seminorms for A(K), arXiv:1309.6292, (2013).

11.  D. Vogt: Spaces of Whitney-jets on self-similar sets,  Studia Math. 218 (2013), 89-94.

12.  D. Vogt: Unitary endomorphisms of power series spaces, Math. Forum, v. 7, Studies on Mathematical Analysis,  Vladikavkaz, (2013), 220-239.

13.  D. Vogt: A characteristic property of the space s, Proc. Amer. Math. Soc. 143 (2015),  1183-1187; arXiv:1304.3820, (2013).

14.  D. Vogt: Non-natural topologies on spaces of holomorphic functions,  Ann. Polon. Math. 108 (2013), 215-217.

15.  D. Vogt:  Restriction spaces of $A^\infty$ , Rev. Mat. Iberoaméricana 30.1 (2014), 65-78.

16.  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.

17.  D. Vogt: On the splitting relation for Fréchet-Hilbert spaces , Functiones et Approximatio 44 (2011), 215-225.  

18.  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.

19.  P. Domanski, D. Vogt: The coherence of complemented ideals in the space of real analytic functions Math. Ann. 347 (2010), 395-409.

20.  D. Vogt: Complemented ideals in $A(R^d)$ of algebraic curves, Arch. Math. 92 (2009), 531-537.

21.  D. Vogt: The tensor algebra of power series spaces , Studia Math. 193 (2009), 189-202.

22.  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.

23.  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.

24.  D. Vogt: Extension of Fréchet valued real analytic functions from subvarieties of $R^d$, Math. Nachr. 6 (2008), 903-911.

25.  D. Vogt: A division theorem for real analytic functions, Bull. London Math. Soc. 39 (2007), 818--828

26.  D. Vogt: Real analytic zero solutions of linear partial differential operators with constant coefficients Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 577-586.

27.  D. Vogt: Extension operators for real analytic functions on compact subvarieties of $R^d$,  J. reine angew. Math. 606 (2007), 217-233.

28.  D. Vogt: Invariants and spaces of zero solutions of linear partial differential operators. Arch. Math. 87 (2006), 163-171.

29.  D. Vogt: A nuclear Fréchet space of $C^\infty$-functions which has no basis. Note Mat. 25 (2006), 189-192.

30.  D. Vogt: Fréchet valued real analytic functions. Bull. Soc. Roy. Sc. Liège 73 (2004), 155-170.

31.  D. Vogt: Splitting of exact sequences of Fréchet spaces in the absence of continuous norms. J. Math. Analysis and Appl. 297 (2004), 812-832.

32.  P. Domanski, D. Vogt: Infinite systems of linear equations for real analytic functions. Proc. Amer. Math. Soc. 132 (2004), 3607-3614.

33.  D. Vogt: Structure theory of power series spaces of infinite type. Rev. R. Acad. Cien. Serie A. Mat. 97 (2) (2003), 1-25.

34.  P. Domanski, L. Frerick, D. Vogt: Fréchet quotients of spaces of real analytic functions. Studia Math. 159 (2003), no. 2, 229--245.

35.  P. Domanski, D. Vogt: A non-trivial Fréchet quotient of the space of real analytic functions. Arch. Math. 81 (2003), 208-214

36.  J. Bonet, P. Domanski, D. Vogt: Interpolation of vector valued real analytic functions. J. London Math. Soc. 66 (2002), 407-420.

37.  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:

38.  D. Vogt: On the solvability of P(D)f = g for vector valued functions, RIMS Kokyoroku 508 (1983), 168-182.

39.  D. Vogt: Interpolation of nuclear operators and a splitting theorem for exact sequences of Frèchet spaces, Functional Analysis Seminar Düsseldorf/Wuppertal December 1986

40.  D. Vogt: Operators between Frèchet spaces, Analysis Conference Manila 1987

41.  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     

            Homework #1

            Homework #2

 

 

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.

Begleittext dazu .

 

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