V. Shelkovich

发表

Wavelet Analysis on Adeles and Pseudo-Differential Operators

V. M. Shelkovich, A. Khrennikov, A. Kosyak, 2011, 1107.1700.

Non-Haar $p$-adic wavelets and their application to pseudo-differential operators and equations

A. Khrennikov, A.Yu. Khrennikov, V.M. Shelkovich, 2008, 0808.3338.

Harmonic Analysis in the p-Adic Lizorkin Spaces: Fractional Operators, Pseudo-Differential Equations, p-Adic Wavelets, Tauberian Theorems

Sergio Albeverio, V. M. Shelkovich, A. Yu. Khrennikov, 2006 .

Associated and quasi associated homogeneous distributions (generalized functions)

V. M. Shelkovich, V. Shelkovich, 2006, math/0608669.

δ′-shock waves as a new type of singular solutions to hyperbolic systems of conservation laws

V. Shelkovich, E. Panov, 2006 .

Nonlinear singular problems of $p$-adic analysis: associative algebras of $p$-adic distributions

S. Albeverio, A. Khrennikov, V. Shelkovich, 2005 .

The Riemann problem admitting δ-, δ-shocks, and vacuum states (the vanishing viscosity approach)

V. M. Shelkovich, V. Shelkovich, 2006 .

$ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes

V. Shelkovich, 2008 .

Theory of p -adic Distributions: Linear and Nonlinear Models: References

S. Albeverio, A. Khrennikov, V. Shelkovich, 2010 .

Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks

V. Shelkovich, B. Nilsson, 2011 .

Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II

O. Rozanova, V. Shelkovich, B. Nilsson, 2011 .

δ-Shock waves as a new type of solutions to systems of conservation laws

V. Shelkovich, E. Panov, 2006 .

Dynamics of propagation and interaction of δ-shock waves in conservation law systems

V. M. Shelkovich, V. G. Danilov, V. Danilov, 2005 .

Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems

V. Maslov, V. Danilov, V. Shelkovich, 1998 .

New versions of the Colombeau algebras

V. Shelkovich, 2005 .

LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES

A. Khrennikov, O. Smolyanov, V. Shelkovich, 2002 .

-adic evolution pseudo-differential equations and -adic wavelets

V. M. Shelkovich, V. Shelkovich, 2011 .

Transport and concentration processes in the multidimensional zero-pressure gas dynamics model with the energy conservation law

S. Albeverio, O. Rozanova, V. Shelkovich, 2011, 1101.5815.

Adelic Multiresolution Analysis, Construction of Wavelet Bases and Pseudo-Differential Operators

Andrei Khrennikov, V. M. Shelkovich, Jan Harm van der Walt, 2013 .

Adelic Multiresolution Analysis, Construction of Wavelet Bases and Pseudo-Differential Operators

V. M. Shelkovich, A. Khrennikov, Jan Harm van der Walt, 2013, Journal of Fourier Analysis and Applications.

Riemann problem for p-cone in Vladimirov algebras

V. Shelkovich, V. Kakichev, 1980 .

Delta-shock wave type solution of hyperbolic systems of conservation laws

V. Danilov, V. Shelkovich, 2005 .

ON THE DELTA-SHOCK FRONT PROBLEM

S. Albeverio, V. Shelkovich, 2005 .

δ ‐ and δ ′‐shocks and the transportation and concentration processes

V. Shelkovich, 2007 .

Propagation and interaction of δ-shock waves for hyperbolic systems of conservation laws

V. Danilov, V. Shelkovich, 2004 .

Singular solutions to systems of conservation laws : shocks , δ-and δ ′-shocks

V. Shelkovich, 2007 .

Delta-shocks, the Rankine-Hugoniot conditions, and singular superposition of distributions

V. Shelkovich, 2004, Proceedings of the International Seminar Days on Diffraction, 2004..

Dynamics of Propagation and Interaction of Delta-Shock Waves in Conservation Law Systems

V. Danilov, V. Shelkovich, 2003 .

Propagation and interaction of shock waves of quasilinear equation

V. Danilov, V. Shelkovich, 2000, math-ph/0012003.

Propagation and Interaction of Nonlinear Waves to Quasilinear Equations

V. Danilov, V. Shelkovich, 2001 .

Algebraic aspects of multidimensional δ-shocks and singularities of flux-functions

S. Albeverio, V. Shelkovich, 2009, Proceedings of the International Conference Days on Diffraction 2009.

On the algebraic aspect of singular solutions to conservation laws systems

A. Khrennikov, V. Shelkovich, 2006 .

p‐Adic Colombeau‐Egorov type theory of generalized functions

A. Khrennikov, S. Albeverio, V. Shelkovich, 2005 .

Associated homogeneous p-adic distributions

S. Albeverio, A. Khrennikov, V. Shelkovich, 2003 .

Generalized solutions of nonlinear differential equation and the maslov algebras of distributions

V. Danilov, V. Shelkovich, 1998 .

Associative and commutative distribution algebra with multipliers, and generalized solutions of nonlinear equations

V. M. Shelkovich, V. Shelkovich, 1995 .

Measure-free viewpoint on p-adic and adelic wavelets

V. M. Shelkovich, A. Khrennikov, J. H. V. D. Walt, 2013 .

Measure-free viewpoint on p-adic and adelic wavelets

A. Khrennikov, J. H. van der Walt, V. Shelkovich, 2013, P-Adic Numbers, Ultrametric Analysis, and Applications.

Pseudodifferential operators on adele rings and wavelet bases

A. Kosyak, A. Khrennikov, V. Shelkovich, 2012, Doklady. Mathematics.

The Cauchy problems for evolutionary pseudo-differential equations over p-adic field and the wavelet theory

Sergio Albeverio, V. M. Shelkovich, S. Albeverio, 2011 .

p-Adic orthogonal wavelet bases

A. Khrennikov, M. Skopina, V. Shelkovich, 2009 .

$p$-Adic multidimensional wavelets and their application to $p$-adic pseudo-differential operators

V. M. Shelkovich, A. Khrennikov, V. Shelkovich, 2006, math-ph/0612049.

p-Adic wavelets and their applications

V. M. Shelkovich, A. Khrennikov, S. Kozyrev, 2014 .

Pseudodifferential operators on adele rings and wavelet bases

V. M. Shelkovich, A. Khrennikov, A. Kosyak, 2012 .

Wavelet bases on adele rings

A. Khrennikov, A. Kosyak, V. Shelkovich, 2012 .

p-ADIC HAAR MULTIRESOLUTION ANALYSIS

V. M. Shelkovich, M. Skopina, V. Shelkovich, 2007, 0704.0736.

p-Adic analysis in the Lizorkin type spaces: fractional operators, pseudo-differential equations and Tauberian theorems

S. Albeverio, A. Khrennikov, V. Shelkovich, 2005, math-ph/0512055.

Distributional asymptotics and p-adic Tauberian and Shannon-Kotelnikov theorems

Andrei Khrennikov, V. M. Shelkovich, A. Khrennikov, 2006, Asymptot. Anal..

p-Adic wavelets and their applications

S. Kozyrev, A. Khrennikov, V. Shelkovich, 2014, Proceedings of the Steklov Institute of Mathematics.

Multidimensional delta-shock waves and the transportation and concentration processes

V. Shelkovich, 2008, 0803.3549.