Email: mailbox peter@tx.technion.ac.il    Boris Paneah    phon Tel.: + 972 (0)4 8216224
Fax: + 972 (0)4 8212705
PDE, Dynamical Systems, Integral Geometry,
Functional Equations, Harmonic Analysis

bullet   BOOKS     bullet  LIST OF ALL PUBLICATIONS

Books
bullet1 bullet2 bullet3

  1. M.Agranovich, S.Levendorsky, B.Paneah, S.Ejdel'man,    Elliptic and Parabolic Operators.  Book, Volume 63 in Encyclopedia of Mathematical Sciences, 325 pps, Springer-Verlag, (1994)

  2. B.Paneah,  Oblique Derivative Problem. The Poincaré Problem.  Book, 350 pps., Wiley-VCH, Berlin-New York-Singapore-Tokio, (2000)   
    Preface and Introduction:    - *.ps file - *.pdf file ZENTRALBLATT MATH REVIEW

  3. B.Paneah,  Fourier Series and Integral Transforms. Solutions to the Problems (Hebrew), Book, 310 pps., Technion, Haifa, (2007)


  4. Boris Paneah,  How to become a reformer in education. On the history of the soviet special mathematical schools (Russian).  The literary supplement "OKNA" to the newspaper "VESTI", pp.16-22, January 8, 2009, Israel. Russian 

List of publications
  1. B.Paneah,   The Identifying Problem Related to Linear Functional Operators with Linear Arguments, Publ.Math.Debrezen, 75/1-2 (2009), 251-261,  
  2. B.Paneah, P.Paneah,   Nonlocal Problems in the Theory of Hyperbolic Differential Equations,   Transactions of the Moscow Mathematical Society, v.70 (2009), 183-234 (Russian).  
  3. B.Paneah,   Another Approach to the Stability of Linear Functional Operators,  Aequationes Math., 78 (2009), 45-61.    
  4. B.Paneah,   Identifying Functions Determined by Linear Functional Operators,  Russian Journal of Mathematical Physics, Vol.15, No.2, 2008, pp. 291-296  .
  5. B.Paneah,   Some Remarks on Stability of Linear Functional Equations,  Banach Journal of Mathematical Analysis, ISSN 1735-8787(electronic), http://www.math-analysis.org, 1 (2007), no. 1, 56-65.
  6. B.Paneah,   On the Stability of the Linear Functional Operators Structurally Associated with the Jensen Operator,   Grazer Math.Ber., ISSN 1016-7692, Bericht Nr. 351 (2007, 129-138) 
  7. B.Paneah,   On the General Theory of the Cauchy Type Functional Equations with Applications in Analysis,   Aequationes Mathematicae, 74(2007), pp. 119-157.   
  8. B.Paneah,   Dynamical Systems and Functional Equations Related to Boundary Problems fot Hyperbolic Differential Operators,   DANMath, v.72, No.6/2, 2005.        Russian    English 
  9. B.Paneah,   Boundary Problems for Higher Order Hyperbolic Differential Equations in Bounded Domains,   Russian Journal of Mathematical Physics, v.11, No.4, pp.311-330, 2004.   
  10. B.Paneah,   Dynamic Methods in the General Theory of Cauchy Type Functional Equations,  Contemporary Mathematics, v.364, pp.205-223, 2004.   
  11. B.Paneah,   Dynamical Approach to Some Problems in Integral Geometry,  Trans. Amer. Math. Soc., v.356, No.7, pp.2757-2780, 2004.    
  12. B.Paneah,  On the Overdeterminedness of Some Functional Equations,   Discrete and Continuous Dynamical Systems (DCDS), v.10, No.1&2, 2004.    
  13. B.Paneah,  On Solvability of Functional Equations Relating to Dynamical Systems with Two Generators,   Functional Analysis and Its Applications, 37, No.1, pp.55-72, 2003.    
  14. B.Paneah,  Noncommutative Dynamical Systems with Two Generators and Their Applications in Analysis,  Discrete and Continuous Dynamical Systems (DCDS), v.9, No.6, pp.1411-1422, 2003.    
  15. B.Paneah,  On the Regularity of Solutions of the First Boundary Problem for High Order Hyperbolic Differential Equations,  Functional-Analitic and Complex methods, their interactions, and Applications to Partial Differential Equations, Proceedings of the International Graz Workshop, World Scientific, pp.23-33, 2001.
  16. B.Paneah,  Support dependent weighted norm estimates for Fourier transforms II,   Duke Math. J., 2 (1998), pp.335-353.   
  17. B.Paneah,   Degenerated elliptic boundary value problems for weak coupled systems. Solvability and maximum principle.  Operator Theory, Advances and Applications, Birkhauser Verlag, Bazel/Switzerland, 98 (1997), pp.208-215.
  18. B.Paneah,  A problem in integral geometry with application to the Dirichlet problem for a class of hyperbolic differential equations,  Differential Equations, Asymptotic Analysis and Mathematical Physics, Math. Res. 100, Academie-Verlag, Berlin, 1997, 256-261.
  19. B.Paneah,  On a problem in integral geometry connected to the Dirichlet problem for hyperbolic equations,  International Mathematics Research Notes, 5 (1997), 213-222.
  20. B.Paneah,  Equivalent norms in some spaces of analytic functions and the uncertainty principle,  Banach Center Publication, 37, 331-335, Warsaw, 1996.
  21. B.Paneah,  Support dependent weighted norm estimates for Fourier transforms,   J. Math. Anal. and Appl. 189 (1995).   
  22. B.Paneah,  On a lower bound for the absolute value of a polinomial of several complex variables   J. of Approximation Theory, 78 (1994), 402-409.
  23. B.Paneah,  On sharp support dependent weighted norm estimates for Fourier transforms,   International Mathematics Research Notes, II (1993), 289-294.
  24. B.Paneah,   Degenerated Elliptic Boundary Value Problems, in Encyclopaedia of Mathematical Sciences, M.Agranovich, S.Levendorsky, B.Paneah, S.Eidelman, 63 (1994), ? 162-201 Springer-Verlag, Berlin-Heidelberg.
  25. B.Paneah,  On the theory of solvability of oblique derivative problem,  II, New Methods of the Analysis in the Theory of Boundary Value Problems, 84-94, Voronezh, 1990. (in Russian).
  26. B.Paneah,   On the solvability of some noncoercive boundary value problems for elliptic equations,  Uspehi Mathem. Nauk 43 (1988), 209-210 = Russian Math. Surveys 43 (1988), 250-251.
  27. B.Paneah,   Some boundary value problems for elliptic equtions and the Lie algebras associated with them,   II, Mat. Sbornik 133 (1987), = Math. USSR Sbornik 61 (1988), 495-527.
    Page 1-15   Page 16-32
  28. B.Paneah,  On a class of Degenerate elliptic second-order pseudodifferential operators, in: Mathematical Modelling of Unstable Mechanics Problems of Continuous Medium, Moscow, 1985, 114-119. (in Russian).
  29. B.Paneah,  Nonelliptic boundary value problems and the Lie algebras associated with them,  Dokl. Akad. Nauk SSSR 283 (1985), 49-53 = Soviet Math. Dokl. 32 (1985), 44-47.
  30. B.Paneah,   Some boundary value problems for elliptic equtions and the Lie algebras associated with them,  I, Mat. Sb. 126 (1985), = Math. USSR, Sbornik 54 (1986), 1, 207-237.
    Page 1-15   Page 16-30
  31. B.Paneah,  On the solvability of a certain class of non-coercive boundary value problems,  Uspehi Mat Nauk 40 (1985), = Russian Math. Surveys 40 (1985), 1, 231-232.
  32. B.Paneah,  Nonelliptic boundary value problems connected with diffusion processes,  Dokl. Akad. Nauk SSSR 276 (1984), ? 3 = Soviet Math. Dokl. 29 (1984), 554-557.
  33. B.Paneah,  Nonlocal boundary value problems for linear differential operators,  Mat. Zametki 35 (1984), 3, 425-434 = Math. Notes, 35 (1984), 223-229.
  34. B.Paneah,  On the theory of solvability of the oblique derivative problem,   Mat. Sbornik 114 (1981), 2 = Math. USSR, Sbornik 42 (1982), 197-235.
  35. B.Paneah,  On a problem with oblique derivative,  Dokl. Akad. Nauk SSSR 243 (1978), 1394-1397 = Soviet Math. Dokl. 19 (1978), 1568-1572.
  36. B.Paneah,  Coercive estimates for a class of differential operators,  Mat. Zametki 20 (1976), 5, 725-732 = Math. Notes, 20 (1976), 965-968.
  37. L.Gnoensky and B.Paneah,  On the order's lowering of some nonlinear control system with a small parameter,  Scientific Transactions VZMI, Appl. Mathematic, 38 (1976), 23-33. (in Russian)
  38. B.Paneah,  On estimates of the type of Hardy inequality for elliptic pseudodifferential operators,  Scientific Transactions VZMI, Appl. Mathematic, 38 (1976), 71-74. (in Russian)
  39. B.Paneah,  On stability of a control system with distributed parameters,  Scientific Transactions VZMI, Appl. Mathematic, 38 (1976), 113-115. (in Russian)
  40. Maz'ya, V.G., Paneah, B.P.   Degenerate elliptic pseudodifferential operators and the oblique derivative problem,  Trudy Moscov Math. Obsc = Trans. Moscow Math. Soc. 31 (1974), 247-305.
  41. Maz'ya, V.G., Paneah, B.P.   Coercive estimates and regularity of solutions of degenerate elliptic pseudodifferential equations,    Funkcional. Anal. i Prilozen, 4 (1971), 4 = Functional Anal. Appl, 4 (1971), 299-311.
  42. Maz'ya, V.G., Paneah, B.P.  Degenerate elliptic pseudodifferential operators on a smooth manifold with simple complex characteristics,  Uspehi Mat Nauk 25 (1970), 193-194. (in Russian).
  43. Maz'ya, V.G., Paneah, B.P.  Degenerate elliptic pseudodifferential operators on a smooth manifold without boundary,  Funkcional. Anal. i Prilozen, 3 (1969), = Functional Anal. Appl, 3 (1969), 159-160.
  44. B.Paneah,  Some theorems on restrictions and extensions of the distributions,  Mat. Zametki 2 (1967), 6, 577-588. (in Russian).
  45. B.Paneah,  Pseudodifferential operators of constant strength in the main,  Mat. Sb. 73 (1967), 2 = Math. USSR-Sornik 2 (1967), 2, 179-198.
  46. B.Paneah,  Conditions for the solvability of a class of pseudodifferential equations,    Dokl. Akad. Nauk SSSR 172 (1967), 5 = Soviet Math. Dokl. 8 (1967),1, 232-234.
  47. B.Paneah,  Certain inequalities for functions of exponential type and a priori estimates for general differential operators,  Uspehi Mat Nauk 21 (1966), 3 = Russian Math. Surveys 21 (1966), 3, 75-114.
  48. Volevich, L., Paneah, B.  A new approach to embedding theorems,   Izv. Akad. Nauk Azerb. SSR, Phys. Math. Ser., 1 (1966), 5-13. (in Russian).
  49. Volevich, L., Paneah, B.  Certain spaces of generalized functions and embedding theorems,  Uspehi Mat Nauk 20 (1965), 1 = Russian Math. Surveys 20 (1965), 1, 1-73.
  50. B.Paneah,  Some results in harmonic analysis and their applications to the abstract theory of boundary value problems,   OUTLINES of the Joint Soviet - American Symposium on Partial Differential Equations, Moscow (1963), 214-222.
  51. B.Paneah,  On the existence of well-prosed boundary value problems for systems of differential operators,   Uspehi Mat Nauk 18 (1963), 2, 175-176. (in Russian).
  52. B.Paneah,  On certain problems of harmonic analysis,   Dokl. Akad. Nauk SSSR 142 (1962), 5 = Soviet Math. Dokl. 3 (1962), 239-242.
  53. B.Paneah,  On a class of differential operators,  Uspehi Mat Nauk 16 (1961), 5, 221-222. (in Russian).
  54. B.Paneah,  On general systems of differential equations with constant coefficients,   Dokl. Akad. Nauk SSSR 138 (1961), 1 = Soviet Math. Dokl. 2 (1961), 602-605.
  55. B.Paneah,  On certain theorems of Paley-Wiener type,   Dokl. Akad. Nauk SSSR 138 (1961), 1 = Soviet Math. Dokl. 2 (1961), 533-536.
  56. B.Paneah,  On extensions of some differential operators,   Sibir. Math. J. 2(1961), 4, 574-582. (in Russian)
  57. B.Paneah,  On existence and uniqueness of the solution of n-metaharmonic equation in unbounded space,  Mosc. State Univ. Vestnic, Math. Mech. 5(1959), 123-135. (in Russian)


18 Jul. 2009