Professoren
Prof. Dr. Erich Walter Farkas

Prof. Dr. Erich Walter Farkas

Qualification works

Habilitation Thesis (University of Munich, 2002): Function spaces of generalised smoothness and pseudo-differential operators associated to a continuous negative definite function
Referees: Prof. Dr. Heinz Siedentop, Prof. Dr. David Edmunds, Prof. Dr. Michael Solomyak

PhD Thesis (Friedrich Schiller University of Jena, 1998): Anisotropic function spaces, fractals, and spectra of some elliptic and semi-elliptic differential operators
Supervisor: Prof. Dr. Hans Triebel
Referees: Prof. Dr. Hans Triebel, Prof. Dr. Winfried Sickel, Prof. Dr. Walter Trebels


Books, monographs, exercise books

W. Farkas, L. Pavel: Functional analysis - exercises and problems, Bucharest University Press, 1994 (143 pages, in Romanian).


Articles (selection)

J.-M. Barbaroux, W. Farkas, B. Helffer, H. Siedentop: "On the Hartree-Fock equations of the electron-positron field",
Communications in Mathematical Physics, 255 (2005), 131-225.

W. Farkas, H.-G. Leopold: "Characterisations of function spaces of generalised smoothness", Annali di Matematica Pura ed Applicata, 2004, published online 22. June 2004.

W. Farkas, N. Jacob: ``Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions'', Mathematische Nachrichten, 224 (2001), 75-104.

W. Farkas, N. Jacob, R. L. Schilling: ``Function spaces related to continuous negative definite functions: psi- Bessel potential spaces'', Dissertationes Mathematicae, 393 (2001), 1-63.

W. Farkas, N. Jacob, R. L. Schilling: ``Feller semigroups, $L^p$-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols'', Forum Mathematicum, 13 (2001), 59-90.

W. Farkas: ``Eigenvalue distribution of some fractal semi - elliptic differential operators'', Mathematische Zeitschrift, 236 (2001), 291-320.

W. Farkas, J. Johnsen, W. Sickel: ``Traces of Besov-Lizorkin-Triebel spaces - a complete treatment of the borderline cases'', Mathematica Bohemica, 125 (2000), 1-37.

W. Farkas: "Atomic and subatomic decompositions in anisotropic function spaces", Mathematische Nachrichten, 209 (2000), 83-113.

W. Farkas, H. Triebel: "The distribution of eigenfrequencies of anisotropic fractal drums", Journal of the London Mathematical Society, 60 (1999), 224-236.

W. Farkas: ``The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in $R ^2$'',
Zeitschrift für Analysis und ihre Anwendungen, 18 (1999), 874-895.


Published abstracts of some communications
(selection)

W. Farkas: ``On function spaces of generalised smoothness in the theory of Markov processes'',
Tagungsband Conference "New Trends in Potential Analysis and Applications", Bielefeld, 26-30. March 2001.

W. Farkas: ``On sub-Markovian semigroups and the domain of definition of their generator'', Tagungsband der DMV- Jahrestagung, Dresden, 17-22 Sept. 2000, p.137.

W. Farkas: ``The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in the plane'' Third European Congress of Mathematics, Barcelona, 2000.

W. Farkas: "Atomic decompositions in anisotropic function spaces", Programm der DMV- Jahrestagung, Jena, 15-21 Sept. 1996, p. 158.

W. Farkas: "An imbedding theorem for generalized Orlicz-Sobolev spaces", Abstracts of the short communications, International Congress of Mathematicians, Zürich 1994, p. 219.

Nutzungshinweise: Jede natürliche Person darf sich nur mit einer E-Mail Adresse bei WiWi-Online registrieren lassen. Die Nutzung der Daten die WiWi-Online bereitstellt ist nur für den privaten Gebrauch bestimmt - eine gewerbliche Nutzung ist verboten. Eine automatisierte Nutzung von WiWi-Online und dessen Inhalte, z.B. durch Offline-Browser, Download-Manager oder Webseiten etc. ist ausdrücklich strengstens untersagt. Zuwiderhandlungen werden straf- und zivilrechtlich verfolgt.