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

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  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