Approximation of a Function and its Derivatives by Entire Functions of Several Variables [PDF]
Canadian Mathematical Bulletin, 1988 AbstractThe paper gives a good approximation of a Ck function on Rn and its derivatives by the restriction of an entire function on Cn and its derivatives respectively.
Frih, El Mostapha, Gauthier, Paul M.
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Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics [PDF]
, 1993 By resorting to the Fock--Bargmann representation, we incorporate the quantum Weyl--Heisenberg ($q$-WH) algebra into the theory of entire analytic functions. The main tool is the realization of the $q$--WH algebra in terms of finite difference operators.
Celeghini +4 more
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On a space of entire functions rapidly decreasing on Rn and its Fourier transform
Concrete Operators, 2015 A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
Musin Il’dar Kh.
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On the geometric means of entire functions of several complex variables [PDF]
Transactions of the American Mathematical Society, 1970 Let f(z, z.,) be an entire function of the n (? 2) complex variables Z1 ... . Zn, holomorphic for Izt I rt, t= 1 ... , n. We have considered the case of only two complex variables for simplicity. Recently many authors have defined the arithmetic means of the function lf(zl, z2)I and have investigated their properties.
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On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices
Journal of Function Spaces, 2020 In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions.
M. Abul-Ez +3 more
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Laser Based Mid-Infrared Spectroscopic Imaging – Exploring a Novel Method for Application in Cancer Diagnosis [PDF]
, 2011 A number of biomedical studies have shown that mid-infrared spectroscopic images can provide both morphological and biochemical information that can be used for the diagnosis of cancer.
McCrow, Andrew, McCrow, Andrew
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On the growth of gap power series of homogeneous polynomials
Researches in MathematicsLet $f$ be an entire functions $f\colon \mathbb{C}^{p}\to\mathbb{C}$, represented by power series of the form $$f(z)=\sum\limits_{k=0}^{+\infty} P_k(z), z\in\mathbb{C}^p$$ where $P_0(z)\equiv a_{0}\in\mathbb{C}$, $P_k(z)=\sum\limits_{\|n\|=\lambda_k ...
A.I. Bandura +2 more
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Wiman’s type inequalities without exceptional sets for random entire functions of several variables [PDF]
Математичні Студії, 2012 In the paper we {consider entire} functions $ fcolonmathbb{C}^pomathbb{C}, pgeq 2, $ defined by power series$ f(z)=f(z_1,ldots,z_p)=sum_{|n|=0}^{+infty}a_n z^n, %pgeq2, $ $z^n=z_1^{n_1}cdotldotscdot z_p^{n_p},$$n=(n_1,ldots,n_p).$ For $r=(r_1,ldots,r_p ...
A. O. Kuryliak, O. B. Skaskiv
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Entire functions of several variables of bounded index
, 2015 This monograph is devoted to the theory of entire functions of several variables. A definition of bounded index was supposed by B. Lepson. We generalised his definition for several variables and obtained criteria of L-index boundedness in direction. In particular we obtained obtain analogues of one-dimensional criterion of boundedness L-index in terms ...
Bandura, Andriy, Skaskiv, Oleh
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Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy [PDF]
, 1995 Based on the dispersionless KP (dKP) theory, we give a comprehensive study of the topological Landau-Ginzburg (LG) theory characterized by a rational potential.
A. Losev +28 more
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