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
Preprints/Reprints
(since 1999)
1.
D. Vogt: Exposé on a
paper of Dronov and Kaplitzkii, arxiv:2003.01072.(2020).
2.
D. Vogt: Euler
partial differential equations and Schwartz distributions, arXiv:1806.00763,
(2018), Proc. Amer. Math. Soc. 148 (2020),
185—191.
3.
D. Vogt: Hadamard
type operators on temperate distributions, arXiv:1812.06299,
(2018), J. Math. Anal. Appl. (2019), DOI 10.1016/j.jmaa.2019.12399.
4.
D. Vogt: Surjectivity
of Euler operators on temperate distributions, J. Math. Anal. Appl. 466 (2018), 1393--1399.
5.
D. Vogt: Hadamard
operators on $\mathscr{D}’(\Omega)$, arXiv:1902.03078,
(2016), Math. Nachr.290 (2017),
1374—1380.
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.
38. P. Domanski, D. Vogt : Linear topological properties of the space of analytic functions on the real line, in: Recent Progress in Functional Analysis, Eds: K.D. Bierstedt, J. Bonet, M. Maestre, J. Schmets, North-Holland Mathematics Studies 189 (2001), 113-132
39. L. Frerick, D. Vogt: Analytic extension of differentiable functions defined in closed sets by means of continuous linear operators, Proc. Amer. Math. Soc. 130 (2001), 1775-1777
40. P. Domanski, D. Vogt: The space of real analytic functions has no basis, Studia Math. 142 (2000), 187-200
41. P. Domanski, D. Vogt: A splitting theory for the space of distributions, Studia Math. 140 (2000), 57-77
42. P. Domanski, D. Vogt: Distributional complexes split for positive dimensions, J. reine angew. Math. 522 (2000), 63-79
43. J. Bonet, D. Vogt: Weighted spaces of holomorphic functions and sequence spaces, in: Proceedings of the Second International Workshop on Functional Analysis (Trier 1997), Note Mat. 17 (1997), 87-97 (1999)
44.
J. Bonet, D. Vogt: On the
topological description of weighted inductive limits of spaces of holomorphic
and harmonic functions, Arch. Math. 72
(1999), 360-366
Seminar
Lectures and Conference Reports
45. D. Vogt: Subspaces and quotient spaces of (s), in: Functional Analysis: Surveys and Recent Results, Proc. Conf. Paderborn 1976, K. Bierstedt and B.Fuchssteiner (Eds.), North-Holland (1977), 167-187.
46.
D. Vogt: Sequence space representations
of spaces of test functions and distributions, in: Functional Analysis, Holomorphy and Approximation, G. I.Zapata
(Ed.), Lecture Notes in Pure and Applied Mathematics 83, New York and Basel (1983), 405-443.
47.
D. Vogt: On the solvability
of P(D)f = g for vector valued functions, RIMS
Kokyoroku 508 (1983), 168-182.
48.
D. Vogt: Some
results on continuous linear maps between Fr\'echet spaces, in: Functional Analysis: Surveys and Recent Results III, K. D.
Bierstedt and B. Fuchssteiner (Eds.), Elsevier (North Holland) (1984),
253-264.
49.
D. Vogt: Interpolation of
nuclear operators and a splitting theorem for exact sequences of Frèchet spaces, Functional Analysis Seminar
Düsseldorf/Wuppertal December 1986
50.
D. Vogt: Operators between
Frèchet spaces, Analysis Conference Manila 1987
51.
D. Vogt: Lectures
on restriction spaces of $A\infty$, Functional Analysis
Seminar Wuppertal January 2013
52.
D. Vogt: Lectures
on projective spectra of (DF)-spaces, Functional
Analysis Seminar Düsseldorf/Wuppertal, Jan.-Feb. 1987
Unpublished Manuscripts
53.
D. Vogt: Tensorprodukte
von (F)- und (DF)-Räumen und ein Forstzungssatz , Manuskript
Research
Publications (Repository)
Lectures:
Lectures in Poznan, April-May 2010
Fréchet
spaces, theory and applications in analysis
Skript zur Vorlesung im Sommersemester 2008
Partielle
Differentialgleichungen, Dienstag und Donnerstag, 10 – 12 Uhr, Raum G 15.22
Begleittext zur Vorlesung im Wintersemesters 2007/08
Funktionalanalysis III ,
Dienstag und Freitag, 10 – 12 Uhr, G 15.25
Skript zur Vorlesung im Sommersemester 2007
Funktionalanalysis
II , Dienstag und Donnerstag, 10 – 12 Uhr, Raum G 15.22
Skript zur Vorlesung im
Wintersemester 2006/07:
Einführung in
die Funktionalanalysis, Dienstag und Donnerstag, 10 – 12 Uhr, Raum G 15.22
D.
Vogt, 25. 02. 2020