Karpushkin Vladimir Nikolaevich

Publications in Math-Net.Ru

1. Four theorems on uniform estimates of oscillatory integrals
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3,  56–60
2. Some Phases of Oscillatory Integrals
   
   Funktsional. Anal. i Prilozhen., 45:2 (2011),  91–93
3. The number of connected components of a level surface of a harmonic polynomial
   
   Uspekhi Mat. Nauk, 65:4(394) (2010),  197–198
4. On the Asymptotic Distribution of the Spectrum of an Operator over Irreducible Representations of Its Symmetry Group
   
   Funktsional. Anal. i Prilozhen., 40:3 (2006),  72–75
5. Estimates of sums of zero multiplicities for eigenfunctions of the Laplace–Beltrami operator
   
   Fundam. Prikl. Mat., 11:5 (2005),  85–90
6. Uniform Estimates for Oscillatory Integrals and Volumes with the Varchenko Phase
   
   Mat. Zametki, 72:5 (2002),  688–692
7. On the number of components in the complement of certain algebraic curves
   
   Uspekhi Mat. Nauk, 57:6(348) (2002),  185–186
8. Number of Components in the Complement to a Level Surface of a Partially Parabolic Polynomial
   
   Mat. Zametki, 69:5 (2001),  798–800
9. Uniform estimates of oscillatory integrals with phase from the series $\widetilde R_m$
   
   Mat. Zametki, 64:3 (1998),  468–469
10. Uniform Estimates of Volumes
    
    Trudy Mat. Inst. Steklova, 221 (1998),  225–231
11. Projectivization of zeros of parabolic polynomials
    
    Dokl. Akad. Nauk, 352:3 (1997),  307–308
12. The number of components of complements to level surfaces of partially harmonic polynomials
    
    Mat. Zametki, 62:6 (1997),  831–835
13. Multiplicities of Singularities of Eigenfunctions for the Laplace–Beltrami Operator
    
    Funktsional. Anal. i Prilozhen., 29:1 (1995),  80–82
14. On asymptotic decomposition of oscillating integrals with semi-quasi-homogeneous phase
    
    Mat. Zametki, 57:3 (1995),  471–473
15. On the topology of zeros of parabolic polynomials
    
    Dokl. Akad. Nauk, 337:4 (1994),  437–438
16. The Number of Components of the Complement of the Level Surface of a Harmonic Polynomial in Three Variables
    
    Funktsional. Anal. i Prilozhen., 28:2 (1994),  52–54
17. Dominant term in the asymptotics of oscillatory integrals with a phase of the series $T$
    
    Mat. Zametki, 56:6 (1994),  131–133
18. Bounds for Homology Groups of Some Manifolds
    
    Funktsional. Anal. i Prilozhen., 27:2 (1993),  86–87
19. Bounds for the Betti numbers of a level surface of a harmonic polynomial
    
    Funktsional. Anal. i Prilozhen., 26:4 (1992),  86–88
20. Oscillatory integrals and volumes with semiquasi-homogeneous phase
    
    Funktsional. Anal. i Prilozhen., 26:1 (1992),  59–61
21. Topology of the zeros of eigenfunctions
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  59–60
22. The dependence of uniform estimates of oscillating integrals on the amplitude
    
    Uspekhi Mat. Nauk, 44:5(269) (1989),  163–164
23. Uniform estimates of some oscillating integrals
    
    Sibirsk. Mat. Zh., 30:2 (1989),  90–101
24. More precise uniform estimates of oscillatory integrals and areas
    
    Uspekhi Mat. Nauk, 43:5(263) (1988),  197–198
25. Precise order bounds for the number of components of the complement of the zeros of harmonic polynomials
    
    Funktsional. Anal. i Prilozhen., 19:4 (1985),  55–60
26. Uniform estimates of oscillating integrals in $R^2$
    
    Dokl. Akad. Nauk SSSR, 254:1 (1980),  28–31