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Իմ հաշիվը
Հրապարակումներ
Ավետիք Փահլեվանյան
Principal AI Scientist, Orion Technologies Limited (Sceenic)
Հետաքրքրությունների ոլորտ:
Differential Equations, Spectral Theory, Inverse Problems, Isospectral Operators, Fractional Calculus, Machine learning, Artificial Neural Networks, Statistical Natural Language Processing, Digital Signal Processing
Հրապարակումներ
zbMATH
arXiv.org
LinkedIn
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Հետաքրքրությունների ոլորտ
Որևէ
$C^n$
Algebraic Geometry
Algebraic geometry. current research interests: all the above fields plus Turbulence in analysis and applications and applications of some recent results and trends in physics
Algebraic geometry. Turbulence in analysis and applications and applications of some recent results and trends in physics
Algebraic Topology
Algorithm Design for Biology problems
Amateur astronomy
Analysis
Antiquities
Applications insTransforms
Applications.
Applied mathematics in Computational biology
Applied Statistics and Probability
Approxiamation Theory
Approximation
Approximation and Interpolation by Rational Functions
Approximation Theory
Approximation Theory.
Approximations
Arithmetical axiomatic systems
Artificial Neural Networks
Artificial Neural Networks.
Banach Algebras
Bio and econ.mathematics
Bioinformatics
Biological Applications
biomathematics
Biorthogonal Systems and Expansions
Boundary value problems
C*-algebras
Calculations complexity
Calculus of variations
Calderon-Zigmund theory
Cartan and Tube Domains
Category theory
Category Theory.
classes of complex functions
classes of functions
cluster expansions
Combinatoric analysis
Combinatorics
Complex Analys
Complex Analysis
Complex Analysis (particularly Nevanlinna value distribution theory and Geometric functions theory
Complex Analysis.
Complex and Harmonic Analysis
Complex and Real Analysis
Complex Approximation Theory
complex differential equations.
complex differential equations. Main field of interest: Complex analysis (Nevanlinna value distribution theory). Other fields: Geometric functions theory
Computer Science
Convergence acceleration
Convexity Theory
Convolution and singular integral operators
Convolution type integral equations
C^n
Data Science
decay of correlations
Deep Learning
Defects
Deficient Functions
Degenerate Equations
Di fferential Equations
Differential and integral equations
Differential Equations
Differential equations with partial derivatives (Gevree classes)
Differential equations with Riemann type boundary conditions
Differential geometry
Differential geometry particulalrly Minimal surfaces
Differential geometry particularly Minimal surfaces
Digital Signal Processing
Digital Signal Processing.
Dirac's two-parameter Spectral Problem
Economic mathematics
economical mathematics
Elaboration of fast algorithms
Element collecting
Elliptic Partial Differential Equations
Equations for heterogeneous natural gyrotropig media
Equations of Mathematical Physics
Equestrianism
Equilibrium statistical mechanics
Finite Element Method
Fourier Analysis
Fourier Analysis.
Fourier Integral Operators Theory
Fourier Series
Fourier series by Legandre quasipolynomials
Fractional Calculus
Fractional integro -differential equations
Free boundaries
Free boundary problems
Function Spaces
Functional Analysis
Gaming
Gamma-lines
Gamma-lines classes of functions Riemann surfaces
Gardening
General Orthogonal series
Generalized integral transformations
Generalized Taylor type formulas
Geometric Function Theory
geometric functions theory
Geometric Measure Theory
Geometry and Topology
Gibbs random fields
Graph Theory
Greedy Approximations
Group Theory
Group transformations in differential equations
Hadamard's problem
Hammerstein type nonlinear equations
Harmonic Analysis
Hilbert Transform
Holomorphic functions of many variables
HSI-algebras
Hyperbolic Equations
Ideal Theory
In complex analysis: Nevanlinna theory
In differential geometry: curves
Index Theory Functional Analysis
Inline Skating
Integral and Stochastic Geometry
Integral Equations
Integral equations of Volterra type
Integral Operators
Integral Operators in Anisotropic Spaces
Integral representations
Integral Transforms
Integral Transforms and Integral Representations
Interpolation
Interpolations
Inverse Problems
Isospectral Operators
Isospectral Operators.
Kinetic Theory of Gases
Kinetic Theory of Gases.
Legandre quasipolynomials in Muntz system
level sets
limit theorems
Limit Theorems for Markov Chains
limit theorems of probability theory
Machine learning
Machine learning and Artificial Neural Networks
Machine Lrning
Main field of interest: Complex analysis (Nevanlinna value distribution theory). Other fields: Geometric functions theory
main field: Complex analysis (Nevanlinna value distribution theory
main field: Complex analysis (Nevanlinna value distribution theory)
Main field: Complex analysis (Nevanlinna value distribution theory). Other fields: Geometric functions theory
Main field: Complex analysis (Nevanlinna value distribution theory). Other fields: geometric functions theory
Main field: Complex analysis (Nevanlinna value distribution theory). Other fields:geometric functions theory
Management of IT infrastructures and application
Management of IT infrastructures and applications
martingale difference random fields
Mathematical analysis
Mathematical logic
Mathematical physics
mathematical statistical physics
Mathematical Statistics
Mathematics: Complex Analysis
Matrix Cartan Domains
Matrix Theory
Maximal Functions
Meromorphic Functions
Micro-Local Analysis
Microlocal Analysis
Minimal surfaces
Mountain biking
Multi-parameter Wiener processes
Multidemensional integral unequations
Multidimensional Complex Analysis
Multiparameter Spectral Theory
Multivariate Polynomial Interpolation
Muntz system
Navier-Stocks Equations
Neural Networks
Nevanlinna's theory
Non canonical type systems of ordinary differential equations
Non-linear approximation
Non-linear approximations
Non-linear approximations greedy algorithms
Non-Linear PDE
Nonlinear analysis
Nonlinear differential equations
Nonlinear functional analysis.
Numerical analysis
Numerical Linear Algebra
Numerical methods
Numerical Methods for Solution of Partial Differential Equations
Numerical Solution of PDE
Obstacle type problems
On achievements see below item
On mathematical achievements see item
One and Several Complex Variables
Operator Algebras
Operator theory
Operator theory and integral equations
Optimization problems
Ordinary and Partial Differential Equations
Orthogonal polynomials
Orthogonal Series
Orthogonal Series and Bases
Orthogonal systems
Other
p-Laplasian and p-parabolic Operators
Padé approximation
Parabolic Linear and Nonlinear Equations
Partial and Ordinary Differential Equations
Partial differential equations
Partial Differential Equations and Mathematical Physics
particularly quasiconformal mappings
particularly quasiconformal mappings). other fields: Real and Complex Differential equations
Peak and Interpolation Sets
Petal collecting and pressing
Pluriharmonic
Point Processes
Prediction Theory
Probability and Statistics
Probability Theory
Probability Theory and Mathematical Statistics
Proof Complexity
Properties of spheric harmonics
Pseudo-differential operators
Pseudo-Differential Operators Operator Algebras
Pseudo-Differential-Operators on Singular Manifolds
Quadrature domains
Quadrature Identities
Quaternionic and Clifford Analysis
Queuing theory
Radiative Transfer Theory
Radiative Transver Theory
Radio-Controlled Car Racing
Radon Transform
random fields
Random point processes
Random Series
Random walk on groups
Rational and Pade type approximations.
Real Analysis
real and complex differential equations
real and complex differential equations.
real differential equations
real differential equations and complex differential equations.
Recurrent Neural Networks
Related Operators Theory.
Reliability theory.
Representation and uniqueness theorems by orthogonal systems
Representations of generalized monotone functions
Research methodology
Restoration of holomorphic functions
Results that have a significant impact on mathematics. Main field: Complex analysis (Nevanlinna value distribution theory). Other fields: Geometric functions theory
Riemann sums
Scientific Computing.
Scrapbooking
Several Complex Variables
Siegel Domain
Signal processing
Singing
Singular Integral Equations
Singular Integrals
Skiing
Smooth Functions in the Unit Ball
Sobolev Spaces
Special Functions
Spectral Theory
Spectral theory of differential operators
Spectral Theory of Linear Operators
Spline Theory
Stability Problems
Statistical Natural Language Processing
Statistics of Stochastic Processes
Stochastic and Integral Geometry
Stochastic Processes
Stone collecting
Summability Theory
Teoplitz
The convolution type integral and integro-differential equations
The theory of conservative and stochastic equations
The Theory of electromagnetic Processes in Dissipative Media
The theory of Wiener-Hopf integral equations
The Wiener-Hopf factorization problems of matrix function
Theory of Viscosity Solutions
Theory of Approximation
Theory of differentiable functions
Theory of differential and integral equations
Theory of orthogonal series and bases
Theory of Probability
Theory of recursive functions
Theory of singuliar integrals
Theory of Toeplitz Operators
Theory of weighted functional spaces
Thermoacoustic tomography
Time Series Analysis
Time Series Forecasting and Anomaly Detection
Topology
Transfer theory
Trigonometric Fourier Series
Tube Domains
turbulence in analysis and applications and applications of some recent results and trends in physics
turbulence in analysis and applications of some recent results and trends in physics
Uniform Approximation
Universal Algebra
Universal Functions
Universal series
Urysohn's equations on half line
Value Distribution Theory
Viscosity solutions
Wavelets
Weak Arithmetics
Weighted Integral Representations of Holomorphic
Weighted Spaces of Regular Functions
Wiener-Hopf Equations
∂-equation
Հոդվածներ
Khachatryan L.A.
Gibbsian Description of Gaussian Random Fields
Armenian Journal of Mathematics
,
17
,
(13)
,
pp. 1-20
,
(2025)
K. Avetisyan
Some Harmonic Bergman-Type Projections on Besov...
Analysis, PDEs, and Applications. Trends in Mathematics
,
Vol. 13
,
pp. 67-73
,
(2025)
K. Avetisyan, K. Guerlebeck
Bergman operators on Clifford valued Bergman...
Advances in Applied Clifford Algebras
,
Vol. 35
,
(No. 4, Article 38 )
,
pp. 21 pages
,
(2025)
