Prof. Dr. Dietmar Vogt



Prof. Dr. Dietmar Vogt
Fakultät für Mathematik und Naturwissenschaften
Bergische Universität Wuppertal
Gaußstr. 20
D – 42097 Wuppertal

Tel.: (+49) 202 439 2534
Fax: (+49) 202 439 3724
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 in Poznan, April-May 2010

            Fréchet spaces, theory and applications in analysis     

            Homework #1

            Homework #2


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

Begleittext dazu .


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