Dang Vu Giang
 

 



Department of Mathematical Analysis,
Institute of Mathematics
Office: Building A5 room 105
Office hours:             or by appointment

Education
 
  • Ph.D., 1994, Hungarian Academy of Science
  • M. s., 1990,  Szeged University, Hungary
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    Permanent address

    Department of Mathematical Analysis,
    Institute of Mathematics, VAST 
    18 Hoang Quoc Viet Road, CauGiay District,
    10307, Hanoi, Vietnam     

    email : dvgiang@math.ac.vn

     
    Fields of Interest

    Fourier Analysis,  Partial and Delay Differential EquationsLie groups,  Dynamical Systems.

    Selected publications
     
  • On the exactness of a theorem of F.A. Fomin, Anal. Math. 17(1991) 133-140 (MR 94h: 42008).
  • Approximation on real line by Fourier transform,  Acta Sci. Math. (Szeged) 58 (1993) 197-209 (MR 95f: 42017).
  • Fourier Analysis (PhD Thesis, Hungarian Academy of Science 1994).
  • (with I. Gyori) Oscillation of a linear neutral delay differential  equation with unbounded time lag,  Diff. Equations and Dynamical Systems  1(1993) 267-274 (MR 94k: 34128).
  • (with I. Gyori) The discrete population model    (Difference Equation Conference VeszprÐm 1995).
  • (with F. Mãricz) On the integrability of trigonometric series,  Anal. Math. 18(1992) 15-23 (MR 94k: 42007).
  • (with F. Mãricz)  Lebesgue integrability of Double Fourier transforms,  Acta Sci. Math. (Szeged)  58(1993) 299-328 (MR 95c: 42014).
  • (with F. Mãricz)  Multipliers of double Fourier transforms and series on  ,  ibid.  58(1993) 329-348 (MR 95d:42009).
  • (with F. Mãricz)  On the uniform and absolute convergences of Dirichlet integrals of functions in Besov space, ibid. 59(1994) 257-265 (MR 95g: 42013).
  • (with F. Mãricz) The Cesaro operator on the Banach algebra of   multipliers II (Even case), ibid.  59(1994) 625-655 (MR 97j: 42009b).
  • (with F. Mãricz)  A new characterization of Besov spaces on real line, J. Math. Anal. Appl.  189(1994) 533-551(MR 95k:46049).
  • (with F. Mãricz)  Strong approximation by Dirichlet integrals in  -norm,  , J. Approx. Theory  79(1994)  271-286 (MR 95j:42005).
  • (with F. Mãricz)  Multipliers of Fourier transforms and series on  ,  Archiv Math. (Basel)  62(1994)  230-238 (MR 95j: 42008).
  • (with F. Mãricz)  Cesaro means of Fourier transforms and multipliers on  ,  Proc. Amer. Math. Soc.  122(1994)  469-477 (MR 95a: 42010).
  • (with F. Mãricz) The Cesaro operator on the Banach algebra of   multipliers  III  (Even-Odd case),  Acta Math. Hung.  68(1995) 71-98  (MR  97j: 42009c).
  • (with F. Mãricz)  Lebesgue integrability of Fourier transforms, Acta Sci. Math.  (Szeged)  60(1995) 329-343 (MR 96k: 42010).
  • (with F. Mãricz) The strong summability of Fourier transforms, Acta Math.  Hung.  65(1994) 403-419 (MR 96k:42012).
  • (with F. Mãricz)  Strong approximation by Dirichlet integrals in  -norm,   J. Approx. Theory  83(1995) 157-174 (MR 96k:42002).
  • (with F. Mãricz) The Cesaro operator is bounded on the Hardy space  ,  Acta Sci. Math. (Szeged)  61(1995) 535-544 (MR 96k: 47051).
  • (with F. Mãricz)  On the  theory of Fourier transforms and Multip-liers, ibid.  61(1995) 293-304 (MR 97i: 42006).
  • (with F. Mãricz)  Hardy spaces on the plane and double Fourier trans-forms,  The J. Fourier Anal. Appl.  2(1996) 487-505 (MR 98b: 42037).
  • (with F. Mãricz)  The Cesaro operator on the Banach algebra of   multipliers I  (Odd case),  Acta Sci. Math. (Szeged)   62(1996) 433-456 (MR 97j:42009a).
  • (with F. Mãricz)  On the  -convergence of Fourier transforms, J. Aus-tral Math. Soc. Ser. A  60(1996) 405-420 (MR 97e:42004).
  • (with F. Mãricz)  Chacracterization of Besov spaces in Harmonic analysis, (Rao, Geetha S. (ed.), Approximation theory and its applications. Proceedings of the symposium, Madras, India, March 26-31, 1993. New Delhi: New Age International Publishers. 26-39 (1996). )
  • (with F. Mãricz) The two dimensional Cesaro operator on the multi-parameter Hardy space ,  Acta Sci. Math. (Szeged)  63(1997) 279-288  (MR 99b: 47040).
  • (with F. Mãricz) The Cesaro operator on the multiparameter Hardy space , Analysis(Munchen) 17(1997) 155-174 (MR 98m: 47040).
  • (with F. Mãricz) On the order of magnitude of Fourier transforms,  Acta Math. Hung  75(1997) 227-243 (MR 98m:42005).
  • On the recursive sequence $x_{n+1}=(Ax_n +B)/(x_n+ax_{n-1}+b) ,  Far East J. of Dynamical Systems  3(2001) 141-148.
  • Discrete Signals and Hilbert filter,  East-West J. Math.  3(2001) 163-170.
  • (with §inh C«ng H­íng) Second order nonlinear difference equations, Research Report (Hanoi University of Science)  31(November 2002).
  • Sobolev Spaces and Approximation by Fourier transforms, Southeast Asian  Bull. Math.  (Hongkong)  27(2003) 35-54.
  • Logarithmic integrals, Sobolev spaces and Radon transform in the plane, Acta Math. Vietnamica 28(2003) 297-307.
  • (with §inh C«ng H­íng) Extinction, Persistence and global Stability in models of population growth, B¸o c¸o t¹i héi nghÞ to¸n häc øng dông vµ m«i tr­êng tè chøc t¹i thµnh phè H¹ Long ngµy 16 th¸ng 1 n¨m 2003.
  • ChuÈn cña ma trËn lòy linh & thuËt to¸n, B¸o c¸o 45’ t¹i héi tho Tèi ­u vµ TÝnh to¸n khoa häc tæ chøc t¹i ViÖn To¸n häc ngµy 16 th¸ng 7 n¨m 2003.
  • TËp giíi h¹n   vµ m« h×nh ph¸t triÓn d©n sè, Th«ng tin khoa häc §¹i häc S­ Ph¹m Quy Nhn 23(2003) 30-38.
  • (with §inh C«ng H­íng) Nilpotent matrices and Dynamical Systems, Adv. Stud.  Contemp. Math. 8(2004) 65-72.
  • (with §inh C«ng H­íng) Nontrivial Periodicity in Discrete Delay Models of Population Growth, Research Report (Hanoi University of Science, March  2004).
  • (with Y. Lenbury) Nonlinear delay differential equations involving population growth,  Mathematical  and  Computer Modelling 40(2004) 583-59.
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