List of publications

                                                        Miklós Horváth

 [1]  M. Horváth and A. Sövegjártó, On convex  functions, Annales Univ. Sci.Budapest.,                            
                    Sectio  Math. 29(1986),193-198.

 [2]  M. Horváth and N. H. Loi, A remark on signum type orthonormal  systems,  Annales 
                    Univ. Sci. Budapest., Sectio Math. 28(1986), 195-198.

 [3]  M. Horváth, Total variation in L_p-sense, Annales Univ.  Sci. Budapest., Sectio  Math.          
                    29(1986), 199-202.

 [4] A. Bogmér, M. Horváth  and  I. Joó, On  the   control  of  strings, Coll.  Math. Soc. J.
                    Bolyai  49, Alfred  Haar  Memorial  Conference,  Budapest   1958. ,  North-
                    Holland, Amsterdam 1986, 199-211.

 [5]  S. A. Avdonin,  I. Joó  and  M. Horváth, Riesz  bases from elements of the form ...  
                    (in Russian), Vestnik  Leningradskogo  Univ.  Ser. 1.  vip. 4.  (22) (1989),  3-7.

 [6]  M. Horváth, On the Muckenhoupt condition, Periodica  Math. Hung. 18(1987), 53-58.

 [7]  M. Horváth, On multidimensional universal functions, Studia Sci. Math. 21(1986), 549-
                    552.

 [8]  A. Bogmér, M. Horváth and I. Joó, Minimax  theorems  and convexity, Preprint  of  the          
                    Math.  Inst. of the Hung. Acad. Sci. No. 37/1985.;
                    Minimax tételek és konvexitás (in Hungarian) Mat. Lapok 34(1-3)(1987), 149-170.

 [9]  M. Horváth, Answer  to a  problem  of   I. Joó, Studia  Sci. Math. 23(1988), 245-250.

[10]  M. Horváth, Vibrating strings  with  free  ends, Acta  Math. Hung. 51(1988), 171-180.

[11]  M. Horváth, I. Joó and  V. Komornik, An  equiconvergence  theorem,  Annales  Univ. 
                    Sci. Budapest., Sectio Math. 31(1988), 19-26.

[12]  M. Horváth, Notes  on  a  convexity, Annales  Univ. Sci. Budapest., Sectio  Math. 30
                    (1987), 259-264.

[13]  M. Horváth, On  additive  functions, Annales  Univ.  Sci. Budapest., Sectio  Math. 31
                    (1988), 87-93.

[14]  M. Horváth, On eigenfunction expansions, Annales Univ. Sci. Budapest., Sectio Math.
                    32(1989), 159-190.

[15]  Horváth M. and Joó I.,  On the Ky Fan-convexity (in Hungarian),  Mat.  Lapok
                    34(1-3)(1987), 137-140.

[16]  M. Horváth, Infinite  string  with  discrete  spectrum, Periodica  Math. Hung. 20(1989),
                     261-278.

[17]  A. Bogmér, M. Horváth and I. Joó, Note to some papers of V. Komornik  on  vibrating        
                    membranes , Periodica Math. Hung. 20(1989), 193-205.

[18]  M. Horváth,  I. Joó and  I. Szalkai,  Proving  theorems in analysis  using  mathematical
                    logical  methods, Third conference  of  program  designers (July 1-3, 1987), ed.
                    by  A. Iványi, Budapest, 1987. 145-149.

[19]  Horváth M., Joó I. és Szalkai I., A Banach-elvről,  Mat. Lapok 34(4)(1991), 253-300.

[20]  M. Horváth and I. Joó, On Riesz bases II., Annales Univ. Sci. Budapest., Sectio Math.
                    33(1990), 261-271.

[21]  M. Horváth, The  vibration   of  a   membrane   in  different  points, Annales  Univ. Sci.             
                    Budapest. , Sectio Math. 33(1990),31-38.

[22]  M. Horváth, Some saturation  theorems  for classical  orthogonal  expansions  I. , Peri-
                    odica  Math.  Hung. 22(1)(1991),27-60.

[23]  M. Horváth, Some  saturation  theorems  for  classical orthogonal  expansions II., Acta 
                    Math. Hung. 58(1-2)(1991), 157-191.

[24]  M. Horváth, I. Joó and  A. Sövegjártó , On Sturm-Liouville  difference  equations, An-
                    nales Univ. Sci. Budapest., Sectio Comp. 10(1990), 135-165.

[25]  A. Bogmér, M. Horváth and A. Sövegjártó, On  some  problems of  I. Joó, Acta Math.
                    Hung. 58(1-2)(1991), 153-155.    

[26]  M. Horváth, I. Joó and Z. Szentmiklóssy, A problem  in game theory, Studia Sci. Math.
                    Hung. 27(1992), 385-389.

[27]  P. Erdős, M. Horváth and I. Joó, On the uniqueness of the expansions ...
                    Acta Math. Hung. 58(3-4)(1991), 333-342.

[28]  M. Horváth, Local uniform convergence of the eigenfunction expansion associated with
                    the Laplace operator I, Acta Math. Hung. 64(1994), 1-25.

[29]  M. Horváth, Local uniform convergence of the eigenfunction expansion associated with
                    the Laplace operator II, Acta Math. Hung. 64(2)(1994), 101-138.

[30]  M. Horváth,  Exact norm  estimates for the  singular  Schrödinger operator, Acta  Math.                                    
                    Hung.60(1-2)(1992), 177-195.

[31]  M. Horváth,  Uniform  estimations of the  Green  function for  the singular  Schrödinger   
                    operator, Acta Math. Hung. 61(3-4)(1993), 327-342.

[32]  M. Horváth,  Sur le  développement  spectral de  l`opérateur de Schrödinger, Comptes 
                    Rendus  Acad. Sci. Paris, Série I. 311(1990), 499-502.

[33]  M. Horváth and I. Joó, On a  minimax  theorem, Annales  Univ. Sci. Budapest., Sectio
                    Math. 37(1994), 119-123.

[34]  M. Horváth, Eigenfunction  expansions for one-dimensional  Dirac operators, Acta Sci.
                    Math. Szeged 61(1995),225-240.

[35]  M. Horváth, Local uniform convergence of the  Riesz means of Laplace and  Dirac ex-
                    pansions, Annales de la Faculté des Sciences de Toulouse 6(1997), 653-696.

[36]  M. Horváth and I. Joó, On some special pseudoconvex spaces, Acta Math. Hung.
                    81(1-2)(1998), 13-20.

[37]  M. Horváth, Eigenfunction expansion for the three-dimensional Dirac operator,
                    J. Differential Equations 160(2000), 139-174. (ps)

[38]  M. Horváth, On a theorem of Ambarzumian, Proc. Royal Soc. Edinburgh 131A(2001),
                    899-907. (ps)

[39]  M. Horváth,  On the inverse spectral theory of Schrödinger and Dirac operators,
                    Trans. Amer. Math. Soc. 353(10)(2001), 4155-4171. (ps)

[40]  M. Horváth, On the first two eigenvalues of Sturm-Liouville problems, Proc. Amer.
                    Math. Soc. 131(2003), 1215-1224 . (ps)

[41]  M. Horváth, Inverse spectral problems and closed exponential systems, Annals of Math.
                   162(2005),885-918. (ps)

[42] M. Horváth,  Inverse scattering with fixed energy and an inverse eigenvalue problem on the
                   half-line, Trans. Amer. Math. Soc. 358 (2006), 5161-5177. (ps)

[43] M. Horváth and M. Kiss,  A bound for the ratios of eigenvalues of Schrödinger operators with
                   single-well potentials, Proc. Amer. Math. Soc. 134(5)(2006), 1425-1434. (ps)

 [44] M. Horváth and M. Kiss, A bound for ratios of eigenvalues of Schrödinger operators on
                    the real line, in: Dynamical Systems and Differential Equations, supplement volume of
                   Discrete and Continuous Dynamical Systems, 2005, 403-409. (pdf)

 [45] M. Horváth and M. Kiss, On the stability of  inverse scattering with fixed energy, Inverse Problems,
                     25(2009), 015011. (pdf)

  [46]  M. Horváth: Inverse problems for linear differential operators, DSc Dissertation, Budapest, 2007 (pdf)

  [47]  B. Apagyi and M. Horváth (editors): Proceedings of the International Conference on Inverse Quantum
                    Scattering Theory, 27-31. August, Siófok, 2007, Modern Physics Letters B vol 22, No 23, 2008.

  [48]  M. Horváth: Notes on the distribution of phase shifts, Proceedings of the International Conference on Inverse Quantum Scattering Theory, 27-31. August, Siófok, 2007, Modern Physics Letters B vol 22, No 23, 2163-2175, 2008. (pdf)

  [49]  B. Apagyi and M. Horváth: Solution of the inverse scattering problem at fixed energy for potentials being zero beyond a fixed radius, Proceedings of the International Conference on Inverse Quantum Scattering Theory, 27-31. August, Siofok, 2007, Modern Physics Letters B, vol 22, No 23,                              2137-2149., 2008. (pdf)

  [50]   B. Apagyi, M. Horváth and T. Pálmai: Simplified solutions of the Cox-Thompson inverse scattering method at fixed energy, J. Phys. A 41(23)(2008), 235305, 2008. (pdf)

  [51]  M. Horváth and M. Kiss, Stability of direct and inverse eigenvalue problems for Schrödinger operators on finite intervals, Internat. Math. Res. Notices Vol. 2010, No 11, 2022-2063. (pdf)

  [52]  M. Horváth, Inequalities between the fixed-energy phase shifts, Internat. J. Comp. Sci. and Math.
                  3(1-2)(2010), 132-141. (pdf)

  [53]  M. Horváth, Partial identification of the potential from phase shifts, J. Math. Anal. Appl. 380(2)(2011), 726-735.
http://dx.doi.org/10.1016/j.jmaa.2010.10.071 (pdf)

  [54]  M. Horváth and M. Kiss, Stability of direct and inverse eigenvalue problems: the case of complex potentials, Inverse Problems 27:(9) Paper 095007. 20 p. (2011) (pdf).

  [55]  M. Horváth, Spectral shift functions in the fixed energy inverse scattering, Inverse Problems and Imaging
                5:(4) pp. 843-858. (2011) (pdf).


[56] M. Horváth, On the stability in Ambarzumian theorems, INVERSE PROBLEMS 31:(2) Paper 025008. 9 p. (2015) (pdf).

[57] M. Horváth and Z. Markó, Discrete inverse problems for the Schrödinger operator on the multi-dimensional square lattice with partial Cauchy data, Inverse Problems 32: (5) Paper 055006. 12 p. (2016) (pdf).

[58] M. Horváth, The control of vibrating string (in Hungarian), Alkalmazott Matematikai Lapok (to appear).

[59] M. Horváth and O. Sáfár, Inverse eigenvalue problems (submitted).

[60] M. Horváth and Z. Markó, The fundamental gap of a class of discrete Sturm-Liouville operators (in preparation).

[61] M. Horváth and O. Sáfár, Inequalities between fixed-energy phase shifts II (in preparation).