*Presentations*

**Invited
lectures, talks on conferences, courses, visits**

- 2011 Banska Stiavnica, Lecture: Pythagorean system in finite commutative rings, fields of all rational, real, and complex numbers; Academy of Music and Art of Jan Albrecht, University of Banska Bystrica; The 25th International scientific seminar "Mathematics, Music and Art", October 10-11;
- 2010 Eichsteatt, visit, Catholical University, Dpt. of Math.
- 2010 FA Valencia, Lecture: On the Fubini-type theorem in the complete bornological locally convexspaces
- 2007 University Perugia, October 1 -- 15, Lecture: Toeplitz operators and operator valued integration
- 2006 CINVESTAV, I.P.N., Mexico City, October 15 -- November 15, Lecture: Mathematics inspired with musical structures - since Pythagoras to Abstract Harmonic Analysis
- 2006 Real analysis and
measure theory (XII. CARTEMI), Ischia,
July 3--7. Talk: On algebras and symbols of Toeplitz
operators acting on weighted Bergman spaces.

- 2006 Herlany, 7th Conference of Mathematians of Košice, March 29--April 1, Lecture: Mathematics inspired with musical structures
- 2005 Rowy, 19th International Conference on Real Functions Theory, May 22--27, Lecture: On generalized quasi-arithmetic means and their applications
- 2005 Bratislava, BHS, Lecture: From nature to Tone System
- 2002 Caserta, Conference Understanding and Creating Music, November 21--25, Lecture: The Mathematical Theory of Tone Systems
- 2000 Berlin, MAMUTH
- 2000 Warszawa Technical University, Algebraic seminar (chair A. Romanowska), May 9--11, Lecture: The theory of tone systems -- the propper hereditary of mathematics
- 2000 Košice, Občianske združenie Sosna, Lecture: On Pythagorean Tuning and Spirituality
- 1999 Cracow, CEEPUS Summer School On Modern Applied Mathematics, Akademia Gorniczo Hutnicza, July 5 - 16. A series of 5 lectures: On integration in Banach spaces.
- 1999 Internationales Symposium: Philosophische Konzeptionen
in der Musik und
Kunst, Prof. J. Albrecht gewidmet, Humboldt Stiftung,
Banska Bystrica, May 5 -- 7.
Lecture:
Das pythagoreische Tonsystem und Transfinitaet.

- 1997 Prague, International Fuzzy Systems Association World Congress, June 25 -- 29. Talk: Diatonic scales summary. Invited lecture. The chair of the invited section.

- 2007 Workshop on Functional Analysis, Applications in Optimal control, Nemecka, September 5-10, Talk: On Toeplitz operqators representation
- 2007 Summer Conference on Real Functions Theory, Rowy, May 5-10. Talk: Toeplitz operators and Dobrakov integral
- 2007 MAA Odessa, April 9--14. Talk: Toeplitz operators and operator valued measures
- 2006 Summer Conference on Real Functions Theory, Liptovsky Jan, September 10--15. Talk: On extensions of Dobrakova submeasures (with O. Hutnik)
- 2006 VIIIth Fuzzy Sets Theory and its Applications (FSTA), Liptovsky Jan, January 30--February 3. Talk: Some remarks on aggregation operators with respect to wavelets (with O. Hutnik)
- 2006 VIIIth Fuzzy Sets Theory and its Applications (FSTA), Liptovsky Jan, January 30--February 3. Talk: On continuous aggregation operators in complex numbers (with O. Hutnik)
- 2004 Summer Conference on Real Functions Theory, Stara Lesna, September 5--10. Talk: On two dimensional algebras of smmetrical associative operators related to means. (with O. Hutnik)
- 2004 Summer Conference on Real Functions Theory, Stara Lesna,
September 5--10. Talk: On weak integration in locally convex
topological vector spaces.

- 2002 Summer Conference on Real Functions Theory, Stara Lesna,
September 1--6. Talk: Theorems on integrable functions in complete
bornolgical locally convex topological vector spaces.

- 2002 Real analysis and measure theory (X. CARTEMI), Ischia, July 15--19. Talk: On product measures in locally convex topological vector spaces.
- 2002 VIth Fuzzy Sets Theory and its Applications (FSTA), Liptovsky
Jan, January 28 -- February 1. Talk:
About a class of the form preserving operators.

- 2000 Summer Conference on Real Functions Theory, Liptovsky
Jan, Talk: On integration in locally convex topological vector spaces.

- 1999 Diderot Forum: Mathematics and Music, Wien, December 2 -- 4, Universitaet Wien. Talk: Ambiguity and Music.
- 1999 Symposium on Real Analysis, Lodz, Poland, June 20 --26. Talk: Weak integral in locally convex space
- 1998 Konferencia slovenskych matematikov, Jasna, November 19 --22. Talk: On fractions and continuous fractions in the mathematical acoustics. (with O. Kulcsarova)
- 1998 Summer School on Real Functions Theory, Liptovsky Jan, September 6--11. Talk: On the Choquet integral for Riesz space valued measure. (with B. Riecan and M. Duchon)
- 1998 IVth Fuzzy Sets Theory and its Applications, Liptovsky Jan, February 2--8. Talk: On the tetrachord lattice of fuzzy sets. (with B. Riecan)
- 1998 Summer School on Real Functions Theory, Liptovsky Jan, September 6--11. Talk: Moment problem forr majorated operators. (with M. Duchon)
- 1998 Quantum Structures (IQSA), Liptovsky Jan, August 30--September 5. Talk: Searching the frontier of the Pythagorean System II. (with B. Riecan)
- 1998 Summer School on Real Functions Theory, Liptovsky Jan, September 6--11. Talk: On geometrical nets. (with M. Duchon)
- 1997 Seminar Mathematics and Music, Kocovce, April 18--20. Talk: On diatonic scales.
- 1997 Konferencia slovenskych matematikov, Jasna, November 21 --23. Talk: The Petzval theory of tone systems.
- 1997 Summer School on General Algebra and Ordered Sets, August 31 - September 6, Strbske Pleso. Talk: Tetrachord lattice.
- 1996 IIIrd Fuzzy Sets Theory and its Applications (FSTA), Liptovsky
Mikulas, January 22--26. Talk: D-posets:
an application to tuning
in Music.

- 1996 Summer School on General Algebra and Ordered Sets 1996, Liptovsky Jaan, September. Talk: Equal Temperament and Pythagorean Tuning: a geometrical interpretation.
- 1996 Foundation of Mathematics and Computer Science, Kosice, July 15--19. Talk: Equal Temperament and Pythagorean Tuning: a geometrical interpretation in the plane.
- 1996 Summer School on Real Functions Theory, Liptovsky Jan, Slovakia. Talk: On numbers 256/243, 25/24, 16/15.
- 1996 IInd Fuzzy Sets Theory and its Applications (FSTA), Liptovsky Jan. Talk: On fuzzy coding of information in music.
- 1995 Seminar Mathematics and Music, September 26--Oktober 2. Talk: More about music intervals based on numbers 2, 3 and 5.
- 1994 Summer School on Real Functions Theory, Liptovsky Jan, Slovakia. Talk: On integration in complete bornological locally complex spaces.
- 1994 Ist Fuzzy Sets Theory and its Applications, Liptovsky Mikulas,,
January 31 -- February 4. Talk:
Approximate continuity and topologies on D-posets of fuzzy sets.

- 1993 Winter School on Measure Theory, Liptovský Ján, Slovakia, January 18 -- 22. Talk: On integration with respect to operator measures without seminorm.
- 1992 Summer School on Real Functions Theory, Dubnik, Slovakia, June 8 -- 12. Talk: On sequential convergences of functions associated with a measure and inductive limits of Banach spaces.
- 1991 Winter School on Abstract Analysis, Srní, Czechia. Talk: On a symbols of operators generating finite dimensional algebras.
- 1991 Symposium on Real Analysis, Smolenice, Slovakia, August 12-16. Talk: About net convergences of measurable functions.
- 1990 Winter School on Measure Theory, Liptovský Ján, Slovakia,
January
7--12. Talk: On a Goguadze-Luzin's
*L(X, Y)*-measure condition for locally convex spaces. - 1990 Summer School on Real Functions Theory, Dubník, Slovakia. Talk: On the Kurzweil type integration in Banach lattices.
- 1990 Winter School on Abstract Analysis, Srní, Czechia Talk: On lattices of set functions in the complete bornological locally convex spaces.
- 1989 Winter School on Abstract Analysis, Srní, Czechia. Talk: On the Bartle-type integration in locally convex spaces.
- 1989 Summer symposium on geometry of Banach spaces, Varna, Bulgaria.Talk: On mean value theorem for integration in complete bornological locally convex spaces.
- 1988 Winter School on Abstract Analysis, Srní, Czechia,Talk: On a continuity of the semivariation in locally convex spaces.
- 1988 Winter School on Measure Theory, Liptovský Ján, Slovakia, January 10--15. Talk: On integration in locally convex spaces.
- 1987 Winter School on Abstract Analysis, Srní, Czechia.Talk: On integration in Banach lattices.
- 1986 Winter School on Abstract Analysis, Srní , Czechia. Talk: On the Kurzweil integration in locally convex spaces.
- 1986 Prague Topological Symposium, Prague, Czechia. Talk: Fubini theorem for Kurzweil integral in locally convex spaces.