scientific article
From MaRDI portal
Publication:3322388
zbMath0537.32002MaRDI QIDQ3322388
A. P. Yuzhakov, L. A. Ajzenberg
Publication date: 1983
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Other generalizations of function theory of one complex variable (32A30) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99) Residues for several complex variables (32A27)
Related Items
Homotopies for solving polynomial systems within a bounded domain ⋮ Bergman-Weil expansion for holomorphic functions ⋮ Coleff–Herrera Currents Revisited ⋮ The asymptotics of a lattice point problem associated to a finite number of polynomials. II ⋮ Residues and cohomology of complete intersections ⋮ A global view of residues in the torus ⋮ Remarks on the analytic implicit function theorem ⋮ The boundary Morera theorem for domain $\tau^+(n-1)$ ⋮ On the Multidimensional Boundary Analogue of the Morera Theorem ⋮ On the integral giving the degree of a map and a Rouché type theorem ⋮ On Transcendental Systems of Equations ⋮ Holomorphic extension of functions along finite families of complex straight lines in an \(n\)-circular domain ⋮ Evidence for parking conjectures ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Weighted lattice walks and universality classes ⋮ Unraveling \(\mathcal{L}_{n, k} \): Grassmannian kinematics ⋮ A duality for the S matrix ⋮ Unnamed Item ⋮ Propagation of boundary CR foliations and Morera type theorems for manifolds with attached analytic discs ⋮ On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Cauchy problem for a degenerating elliptic equation with many independent variables ⋮ On the properties of meromorphic solutions to difference equations and gamma-type solutions ⋮ Symbolic algorithm for finding zeros of a system of holomorphic functions ⋮ Cauchy-Fantappiè integral formula for holomorphic functions on special tube domains in \(\mathbb{C}^2\) ⋮ A new insight on Ronkin functions or currents ⋮ An explanation of Mellin's 1921 paper ⋮ On the structure of the Bochner-Martinelli residue currents ⋮ Integral representation formulas for differential forms on complex manifolds and applications to the \({\bar \partial}\)-equation ⋮ Unnamed Item ⋮ A theorem of generalized Cauchy-Pompeiu type on finite-dimensional associative algebras ⋮ Small-amplitude limit cycles in Liénard systems via multiplicity ⋮ An FFT-based algorithm for \(2\)D power series expansions ⋮ A global residue theorem on analytic varieties ⋮ Characterizations of the lebesgue measure and product measures related to holomorphic functions having non-negative imaginary or real part ⋮ On the classification of residues of the Grassmannian ⋮ Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions ⋮ Thermal form-factor approach to dynamical correlation functions of integrable lattice models ⋮ ON APPLICATION OF MULTIDIMENSIONAL COMPLEX ANALYSIS IN FORMAL LANGUAGE AND GRAMMAR THEORY ⋮ Boundary Morera theorems for holomorphic functions of several complex variables ⋮ Singular integral operators and a \(\overline{\partial}\)-problem for \((\varphi, \psi)\)-harmonic functions ⋮ Residue integrals and Waring’s formulas for algebraic or even transcendental systems ⋮ Une généralisation de la loi de transformation pour les résidus ⋮ Finding residue integrals for systems of non-algebraic equations in \(\mathbb C^n\) ⋮ Hermite's method of separation of solutions of systems of algebraic equations and its applications ⋮ Power Series of Roots of Systems of Entire Functions of Finite Growth Order ⋮ Enclosing all zeros of a system of analytic functions ⋮ Unnamed Item ⋮ Extension of CR-forms and related problems ⋮ Duality for Hardy spaces in domains of \(\mathbb {C}^n\) and some applications ⋮ Global properties of Kovalevskaya exponents ⋮ A sharpened form of the inverse function theorem ⋮ Cauchy-Weil formula, Schur-Agler type classes, new Hardy spaces of the polydisk and interpolation problems ⋮ The asymptotics of a lattice point problem associated to a finite number of polynomials. I ⋮ Configurations of critical points in complex polynomial differential equations ⋮ Bounds for multivariate residues and for the polynomials in the elimination theorem ⋮ Quadratic convexity ⋮ Carathéodory Fejér interpolation in the ball with mixed derivatives ⋮ Unnamed Item ⋮ Determinant solution for the totally asymmetric exclusion process with parallel update: II. Ring geometry ⋮ On Solvability of Systems of Symbolic Polynomial Equations ⋮ Method for Obtaining Combinatorial Identities with Polynomial Coefficients by Means of Integral Representations ⋮ Multidimensional Boundary Analog of the Hartogs Theorem in Circular Domains ⋮ Functions with the One-dimensional Holomorphic Extension Property ⋮ Roots of generalised Hermite polynomials when both parameters are large ⋮ Analytic Continuation for Solutions to the System of Trinomial Algebraic Equations ⋮ On Some Examples of Systems of Transcendent Equations ⋮ Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V ⋮ On the multiplicity of holomorphic maps and a residue formula ⋮ Koppelman formulas on smooth compact toric varieties
This page was built for publication:
