**[**
Main
**] [**
Research
**] [**
Publications
**] [**
Presentations
**] [**
Teaching
**] [**
Service
**] [**
CV
**] [**
Links
**]**
[Organ
**] [**
Ladscaping
**] **
[Genealogy**]**
*Research*

**Fields of interest**
- Functional analysis: Measure and integration in functional spaces,
Toeplitz operators, Integral operators, Aggregation operators
- Applied Mathematics: Uncertainty-based information theory (applied to
Sampling techniques in Statistics), Formal Laurent series of more variables of finite rank (applied to Tone systems in Music)

###
Achievements and principal contributions

- results in integration of vector functions with
respect to the operator valued measure in vector spaces equipped
with additional structures (topological, bornological, order); in particular, a generalization of the Dobrakov theory of integration
to complete bornological locally convex spaces
- creation of a unifying mathematical
theory of tone systems based on geometrical nets (equivalently, formal Laurent series of more variables of finite rank)
- creation of an approach to the statistical sampling techniques theory
based on the uncertainty-based information theory

### Leader of granted
projects

- 2011--2013 Integral and differential operators and their algebras,
Grant VEGA 2/0035/11
- 2008--2010 Toeplitz operators and their applications, Grant VEGA 2/0097/08
- 2005--2007 Mathematical
Methods of oscillatory systems and uncertainty, Grant VEGA 2/5065/05
- 2007--2009 Integration
in abstract structures, Grant SAV Bratislava
- CNR Roma
- 2005--2007 Mathematical
Methods of oscillatory systems and uncertainty, Grant VEGA 2/5065/05
- 2001--2003 Integration
in vector spaces equipped with additional structures, Grant SAV Bratislava
- CNR Roma
- 1998--2000 Tone
systems, Grant VEGA 2/5126/98