PD Dr. Martin Väth
Institute of Mathematics of the
Czech Academy of Sciences
Žitná 25, 115 67 Nové Město, Praha 1
Czech Republic

Address in Würzburg

Crevennastr. 5
D-97072 Würzburg (Germany)

Address in Berlin

Kuhligkshofstr. 3
D-12165 Berlin (Germany)

Tel.:+49 - (0)381 / 498-6581

email: martin@mvath.de

Picture of Martin Vath

Main Field of Interest

Linear and Nonlinear Analysis

including (but not restricted to)

  • geometrical and topological methods (e.g. Degree and Nielsen theory, Morse index)
  • linear and nonlinear spectral theory
  • particular operators (Urysohn, Hammerstein, superposition operators)
  • nonlinear dynamical systems
  • partial and ordinary differential equations
  • integral equations (also of vector functions)
  • Volterra and functional differential equations
  • function spaces; in particular, spaces of measurable functions
  • positive operators and lattices
  • Weyl calculus and noncommutative harmonic analysis
  • connections with logic and set theory (axiom of choice, continuum hypothesis)
  • nonstandard analysis
  • measure and integration theory (also finitely additive measures)
  • geometry of normed spaces

See list of publications

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Martin Väth's Homepage at the Czech Academy of Sciences