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Reviewed publications, MR Author ID: 259074

Jan Haluska: Zaklady funkcionalnej analyzy (Elements of functional analysis, in Slovak). EDIS - Publishing House of the University of Zilina, Zilina 2010. pp. 206, paperback, Lecture Notes, ISBN 978-80-554-0177-5.
 Contents (in Slovak)

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Jan Haluska: Elements of Functional Analysis. Textbook, EDIS - Publishing House of the University of Zilina, Zilina 2008, 131 pp. ISBN 978-80-554-0048-8, textbook, hardcover
 Foreword&Contents

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Jan Haluska: Harmony Searching - Credo of a mathematician about music and a little bit also about philosophy (in Slovak). VEDA - Publishing House of the Slovak Academy of Sciences, Bratislava 2006, 296 pp. ISBN 80-224-0918-9, hardcover
 Preface, Contents (in Slovak)

 Contents(in English)

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Jan Haluska: The Mathematical Theory of Tone Systems. Marcel Dekker -- Ister Science, New York -- Basel -- Bratislava 2004, xxx + 380 pp., ISBN 0-8247-4714-3, hardcover
 Preface, Contents

 about (in Slovak)

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Books and Lecture Notes

  [6] J. Haluska: Zaklady funkcionalnej analyzy (Elements of functional analysis, in Slovak). EDIS - Publishing House of the University of Zilina, Zilina 2010. pp. 206, paperback, Lecture  Notes, ISBN 978-80-554-0177-5. 
 [5] J. Haluska: Elements of functional analysis. EDIS - Publishing House of the University of Zilina, Zilina 2008. pp. 131, hardcover, textbook, ISBN 978-80-554-0048-8. 
 [4] J. Haluska: Harmony Searching - Credo of a mathematician about music and a little bit also about philosophy (in Slovak). VEDA - Publishing house of the Slovak Academy of Sciences, Bratislava 2006. pp. 296, hardcover, ISBN 80-224-0918-9.
 [3] J. Haluska: The Mathematical Theory of Tone Systems. Marcel Dekker -- Ister Science,  New York -- Basel -- Bratislava 2004. xxx + 380 pp., hardcover, ISBN 0-8247-4714-3.
 [2] J. Haluska (1/2)--J. Chajdiak: Teória výberového skúmania (Sampling theory, in Slovak, Lecture Notes). ES Economics University, Bratislava 1982, pp. 251, paperback.
 [1] M. Kovacka et al. (J. Haluska 1/5): Teória štatistiky (Theory of statistics, in Slovak, Lecture Notes). ES Economics University, Bratislava 1982, pp. 370, paperback. Second edition: 1984.

Research papers

   [48] T. Gregor (1/2) -- J. Haluska (1/2):Two-dimensional Einstein numbers and associativity. (submitted) (preprint soon)
   [47] T. Gregor (1/2) -- J. Haluska (1/2): Lexicographical ordering and field operations in the complex plane. (submitted) (preprint soon)
   [46] J. Haluska: Plomp-Levelt-Reiner dissonance curves as crucial examples of fuzzy sets, mathematical description of timbre. Proc. Int. Conf. MaMuTh, Banska Stiavnica, 2011 (preprint soon)
   [45] J. Haluska: A discussion to the definition of Pythagorean system in exponential fields. Proc. Int. Conf. MaMuTh, Banska Stiavnica, 2011 (preprint soon)
   [44] J. Haluska (1/2)--O. Hutnik: The Egoroff theorem for operator valued measures in locally convex spaces (preprint)
   [43] J. Haluska (1/2)--O. Hutník: On integrable functions in complete bornological locally convex spaces, Mediterr. J. Math. 9(1)(2012), 165--186. (preprint)
    [42] J. Haluska (1/2)--O. Hutník: On domination and bornological product measure.Mediterr. J. Math. 7(2010), 353--372. PDF (manuscript)
   [41] J. Haluska:(1/2)--O. Hutnik: On convergences of measurable functions in Archimedean vector lattices. Positivity 14(2010), 515--527. PDF (manuscript)
   [40] J. Haluska (1/2)--O. Hutnik: The general Fubini theorem in complete bornological locally convex spaces. Banach J. Math. Anal. 4(2010), no. 2, 53--74. PDF(manuscript)
   [39] J. Haluska (1/2) -- O. Hutnik: Approximate continuity and topological Boolean algebras. Analysis 29(1) (2009), 17-27. PDF (manuscript)    
    [38]
J. Haluska (1/2)--O. Hutnik: The Fubini theorem for bornological product measures. Result Math. 54(2009), 65--73. PDF(manuscript)
   [37] J. Haluska (1/2)--O. Hutnik: On vector integral inequalities. Mediterr. J. Math. 6(2009), 105-124. PDF (manuscript)
   [36] J. Haluska (1/2)--O. Hutnik: On Dobrakov net submeasures. Tatra Mt. Math. Publs. 40(2008), 149--160.   PDF(manuscript)
   [35] J. Haluska (1/2)--O. Hutnik: Some inequalities involving integral means. Tatra Mt. Math. Publs. 35(2007), 131--146. PDF (manuscript)
   [34] J. Haluska (1/2)--O. Hutnik: On algebras of symmetrical associative aggregation operators related to means. Tatra Mt. Math. Publs. 34(2006), 119--133. PDF (manuscript)
   [33] M. Duchon--J. Haluska (1/2):  On the generalized Kolmogoroff integral of the second type in complete bornological locall convex spaces. Tatra Mt. Math. Publs. 30(2005), 163--173. PDF (manuscript)
  [32] J. Haluska (1/3)--O. Hutnik--T. Mihaly: The biscale of J. Rut. In: Proc. of Transcom 2005, The 6th. European Conf. of Young Researchers and Science Workers in Transport and telecommunications. Zilina, June 27--29, 2005, Vol. Section 9, Zilina. Zilina University 2005, pp. 83--86. ISBN 80-8070-421-X. PDF (manuscript)
   [31] J. Haluska (1/3)--O. Hutnik--T. Mihaly: On a Diophantine equation derived from the theory of meantone systems. In: Proc. of Transcom 2005, The 6th. European Conf. of Young Researchers and Science Workers in Transport and Telecommunications. Žilina, June 27--29, 2005, Vol. Section 9, Zilina. Zilina University 2005, pp. 79--82. ISBN 80-8070-421-X. PDF (manuscript)
   [30] J. Haluska (1/2)--O. Hutnik: On generalized weighted quasi-arithmetical means in integral form. J. of Electrical Ingeneering 56(2005), 3--6. PDF(manuscript)
   [29] A. Boccuto--J. Haluska(1/2): A skeleton of Fubini-type theorem in vector spaces for the Kurzweil integral and opeator measures, Mathematica Slovaca 54(2004), 423--432. PDF(manuscript)
   [28] M. Duchon--J. Haluska (1/2): On random Fourier series. Tatra Mt. Math. Publs. 28(2004), 241--250. PDF (manuscript)
   [27] J. Haluska: Weber--Fechner Law, Uncertainty and Pythagorean System. Proc. Science, Education and Society (The 11th Sci. Conf., Zilina, November 17--19, 2003), section: Mathematics in Interdisciplinar context, pp. 47--50. ISBN 80-8070-122-9, EDIS, Zilina, PDF (manuscript)
   [26] J. Haluska: Unimodular matrices and diatonic scales. Proc. 2nd Int. Conf. ``Understanding and creating music'', Caserta, November 21-25, 2002 (CD-ROM). PDF(manuscript)
   [25] M. Duchon--J. Haluska (1/2): Moment problem for some operators. Tatra Mt. Math. Publs. 24(2002), 133--139. PDF(manuscript)
   [24] J. Haluska: Uncertainty measures and well tempered systems. General Systems 31(2002), no. 1, 73--96. VEGA 7192,  PDF (manuscript)
   [23] J. Haluska: : Equal temperament and Pythagorean Tuning: a geometrical interpretation in the plane.  Fuzzy Sets and Systems 114(2000), 261--269. Project VEGA 5126, PDF (manuscript)
   [22] M. Duchon--J. Haluska (1/2): Moment  problem for majorated operators. Tatra Mt. Math. Publ. 19/II(2000), 117--183. VEGA 1228. PDF (manuscript)
   [21] M. Duchon--J. Haluska (1/3)--B. Riecan: On the Choquet integral for Riesz space valued measure, Tatra Mt. Math. Publ. 19/I(2000), 75 -- 91. VEGA 1228, PDF (manuscript)
   [20] J. Haluska(1/2) -- B. Riecan: Segmentation on the pitch level: the frontier of the Pythagorean System. [in: H. G. Feichtinger -- M. Doerfler (eds.): Diderot Forum on Mathematics and Music, Oesterreichische Computer Geselschaft, Vol. 133, Vienna 1999,  ISBN 3-85403-133], pp. 205--211. VEGA 5126,
PDF (manuscript)
   [19] J. Haluska: Searching the frontier the Pythagorean System. Tatra Mt. Math. Publ., 16(1999), 273--282. VEGA 5126,  PDF (manuscript)
   [18] J. Haluska (1/2) - B. Riecan(1/2): On a lattice of tetrachords. Tatra Mt. Math. Publ. 16(1999), 283--294. VEGA 5126, PDF (manuscript)
   [17] J. Haluska: On numbers 256/243, 25/24, 16/15. Tatra Mt. Math. Publ. 14(1998), 145--151. VEGA 5126, PDF (manuscript)
   [16] J. Haluska: Comma 32 805/32 768. The Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 6(1998), 295--305. VEGA 5126. PDF (manuscript)
   [15] J. Haluska: Requiem for Ivan Dobrakov. Math. Slovaca 47(1997), 587 -- 590. PDF (manuscript)
   [14] J. Haluska: On two algorithms in music acoustics. Extracta Math. 12(1997), 243--250. VEGA 1228, PDF (manuscript)
   [13] J. Haluska: Uncertainty and tuning in music. Tatra Mt. Math. Publ. 12(1997), 113--129. VEGA 1228, PDF (manuscript)
   [12] J. Haluska: On integration in complete bornological locally convex spaces. Czechoslovak Math. J. 47(1997), 205--219. PDF (manuscript)
   [11] J. Haluska: Diatonic scales summary. Proc. of 7th IFSA (Prague, June 25--29, 1997), Academia, Prague 1997,  vol. IV., 320--322. PDF (manuscript)
   [10] J. Haluska: On fuzzy coding of information in music. BUSEFAL 69 (1997), 37--42. PDF (manuscript)
     [9] J. Haluska: On integration in complete vector lattices. Tatra Mt. Math. Publ. 3(1993), 201--212. MR 95a:28008, PDF(manuscript)
     [8] J. Haluska: On lattices of set functions in complete bornological locally convex spaces. Simon Stevin 67(1993), 27--48. MR 95a:46009, PDF (manuscript)
     [7] J. Haluska: On convergences of functions in complete bornological locally convex spaces. Rev. Roumaine Math. Pures Appl. 38(1993), 327--337. MR 95g:28008, PDF (manuscript)
     [6] J. Haluska: On the continuity of the semivariation in locally convex spaces. Math. Slovaca 43(1993), 185--192. MR 95f:46069, PDF (manuscript)
     [5] J. Haluska: On a lattice structure of operator spaces in complete bornological locally convex spaces. Tatra Mt. Math. Publ. 2(1993), 143--148. MR 94k:46006, PDF (manuscript)
     [4] J. Haluska: On the generalized continuity of the semivariation in locally convex spaces. Acta Univer. Carolin. - Math. Phys. (32)1991, 23--28. MR 92k:280018, PDF (manuscript)
     [3] J. Haluska: On a symbol of operators generating finite dimensional algebras. Math. Slovaca (41)1991, 61--68. MR 92b:47069, PDF (manuscript)
     [2] J. Haluska: On a Goguadze-Luzin's L(X, Y)-measure condition for locally convex spaces. Proc. 2nd Winter School on Measure Theory (Liptovský Ján, Slovakia, January 7--12, 1990), Slovak Acad. Sci., Bratislava, 1990, 70--73.  MR 92d:46113, PDF (manuscript)
     [1] J. Haluska: On integration in locally convex spaces. Proceedings of the First Winter School on Measure Theory
(Liptovský Ján, Slovakia, January 10-15, 1988), Slovak Acad. Sci., Bratislava, 1988, 30--36. MR 90g:46065,  PDF (manuscript)

Editor of the scientific Monotematic journal issues or Proceedings of papers  

   [7] J. Borsik--Ján Haluška (1/2)(eds.):  Real Functions, Tatra Mountains Mathematical Publications, vol. 34,  Polygrafia, Bratislava 2006.
   [6] J. Borsik--J. Haluska (1/2)(eds.): Real Functions, Tatra Mountains Mathematical Publications, vol. 28,  Polygrafia, Bratislava 2004.
   [5] J. Borsik--J. Haluska (1/2)(eds.): Real Functions, Tatra Mountains Mathematical Publications, vol. 24,  Polygrafia, Bratislava 2002.
   [4] J. Haluska (ed.): Harmonic Analysis and Tone Systems , Tatra Mountains Mathematical  Publications, vol. 23,  Polygrafia, Bratislava 2000, CC.
   [3] J. Borsik--J. Haluska (1/2) (eds.):  Real Functions, Tatra Mountains Mathematical Publications, vol. 19,  Polygrafia, Bratislava 2000.
   [2] J. Borsik--J. Haluska (1/3)--Roman Fric (eds.): Real Functions , Tatra Mountains Mathematical Publications, vol. 14,  Polygrafia, Bratislava 1998.
   [1] R. Mesiar -- M. Kalina -- A. Stupanova--O. Nanasiova -- J. Haluska (1/2) (eds.): Proc. of the Int. sem. Fuzzy sets, Quantum Structures and Related Topics and Mathematics and Music. (Kocovce, April 1997), SF STU, Bratislava, 1997.

Patent

     [1]  J. Flandera et.a. (J. Haluška 1/6 ): Generovanie a sledovanie trati cielov pri udere nepriatelskych prostriedkov vzdusneho napadnutia (Generation and monitoring of tracks of targets at the attack from the air.), Zlepsovaci navrh 92/185 zo dna 28.9.1985 podla zak. 84/1972 Zb., VVTS, Liptovsky Mikulas  

Various publicatioms

    [8] J. Haluska: Eviduj svoje dary a bud vdacny zdroju, pp. 49-54, v knihe M.Kovacka -- A. Dvurecenskij -- M. Kacian (eds.): Beloslav Riecan, Alfaprint, Martin 2013, ISBN 978-80-971399-9-5
        [7] J. Haluska: Od prirody k tonovemu systemu (From nature to the notion of tone system; in Slovak). Slovenska hudba 30(2004), 195--2004.
    [6] J. Haluska (1/2) -- E. Haluskova: Variacia na temu "12. odmocnina z 2" (A variation to the theme "The 12th root of 2"; in Slovak). Obzory matematiky, fyziky a informatiky 38(1993), 75--85.
    [5] J. Haluska: O cisto atomickych mierach (On pure atomic measures; in Slovak). Matematické Obzory 41(1994), 27--34.
    [4] J. Haluska: O odseknutych vzorkach (On truncated samples; in Slovak). Matematické Obzory 38(1993), 75--85.
    [3] J. Haluska: Blizsie k zelenemu stromu zivota; (Closer to the green tree of life; in Slovak). Spravy SAV 18(2000), 4--5.
    [2] J. Haluska: Mathematics and Theology: a dialogue (in Slovak). In: Mathematics and Theology, EBF UK, Bratislava, 2002, pp. 17--21. ISBN: 80-88827-24-8, EAN: 9788088827245.   
    [1] J. Haluska (ed.): Ambiguity and Music. Polygrafia SAV, Bratislava 2000, vii +130 pp., ISBN 80-968374-0-0.