Certain algebras generated by the multidimensional analogue of the bitsadze operator

V. B. Cherdak

doi:10.1007/bf00969333

Certain algebras generated by the multidimensional analogue of the bitsadze operator

Siberian Mathematical Journal ◽

10.1007/bf00969333 ◽

1988 ◽

Vol 28 (5) ◽

pp. 847-849

Author(s):

V. B. Cherdak

Keyword(s):

Multidimensional Analogue

A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1111045 ◽

1966 ◽

Vol 11 (3) ◽

pp. 447-454 ◽

Cited By ~ 2

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Multidimensional Riemann problem with self-similar internal structure – part III – a multidimensional analogue of the HLLI Riemann solver for conservative hyperbolic systems

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.038 ◽

2017 ◽

Vol 346 ◽

pp. 25-48 ◽

Cited By ~ 23

Author(s):

Dinshaw S. Balsara ◽

Boniface Nkonga

Keyword(s):

Internal Structure ◽

Riemann Problem ◽

Hyperbolic Systems ◽

Riemann Solver ◽

Multidimensional Analogue ◽

Self Similar

On a multidimensional analogue of the Schwarz example

Izvestiya Mathematics ◽

10.1070/im2012v076n04abeh002601 ◽

2012 ◽

Vol 76 (4) ◽

pp. 681-687 ◽

Cited By ~ 2

Author(s):

Vladimir A Klyachin

Keyword(s):

Multidimensional Analogue

Multidimensional analogue of Virasoro algebra and quantum higher-order water wave equation

International Journal of Theoretical Physics ◽

10.1007/bf00673721 ◽

1993 ◽

Vol 32 (2) ◽

pp. 347-351

Author(s):

P. Guha ◽

A. Roy Chowdhury

Keyword(s):

Wave Equation ◽

Water Wave ◽

Virasoro Algebra ◽

Higher Order ◽

Multidimensional Analogue

Addendum: A Multidimensional Analogue of the Berry-Esseen Inequality for Sets with Bounded Diameter

Theory of Probability and Its Applications ◽

10.1137/1113021 ◽

1968 ◽

Vol 13 (1) ◽

pp. 192

Author(s):

V. M. Zolotarev

Keyword(s):

Multidimensional Analogue ◽

Esseen Inequality

Multidimensional analogue of a theorem of Privalov

Sbornik Mathematics ◽

10.1070/sm1995v186n02abeh000015 ◽

1995 ◽

Vol 186 (2) ◽

pp. 257-269 ◽

Cited By ~ 2

Author(s):

V A Okulov

Keyword(s):

Multidimensional Analogue

Multidimensional analogue of Gusarov's theory of one-dimensional knots

Russian Mathematical Surveys ◽

10.1070/rm2008v063n01abeh004508 ◽

2008 ◽

Vol 63 (1) ◽

pp. 166-167

Author(s):

V M Nezhinskii

Keyword(s):

One Dimensional ◽

Multidimensional Analogue

Addendum: Multidimensional Analogue of Yu. V. Linnik’s Theorem on Decompositions of a Convolution of Gaussian and Poisson Laws

Theory of Probability and Its Applications ◽

10.1137/1112069 ◽

1967 ◽

Vol 12 (3) ◽

pp. 529-530

Author(s):

I. V. Ostrovskii

Keyword(s):

Multidimensional Analogue

Bounds for the Characteristic Functions of the System of Monomials in Random Variables and of Its Trigonometric Analogue

Georgian Mathematical Journal ◽

10.1515/gmj.1997.579 ◽

1997 ◽

Vol 4 (6) ◽

pp. 579-584

Author(s):

T. Shervashidze

Keyword(s):

Random Vector ◽

Continuous Distribution ◽

Random Variables ◽

Upper Bounds ◽

Characteristic Functions ◽

Absolutely Continuous ◽

Multidimensional Analogue ◽

Trigonometric Integral

Abstract Using a multidimensional analogue of Vinogradov's inequality for a trigonometric integral, the upper bounds are constructed for the moduli of the characteristic functions both of the system of monomials in components of a random vector with an absolutely continuous distribution in and of the system (cos j 1πξ 1 . . . cos j s πξ s , 0 ≤ j 1, . . . , j s ≤ k, j 1 + . . . + j s ≥ 1), where (ξ 1, . . . , ξ s ) is uniformly distributed in [0; 1] s .

Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables

Complex Analysis and Operator Theory ◽

10.1007/s11785-021-01155-x ◽

2021 ◽

Vol 15 (7) ◽

Author(s):

Mitja Nedic

Keyword(s):

Holomorphic Functions ◽

Negative Real Part ◽

Nevanlinna Function ◽

Multidimensional Analogue ◽

Several Variables ◽

Nevanlinna Functions ◽

Unit Polydisk ◽

Definition Of ◽

Poisson Type

AbstractIn this paper, we give several characterizations of Herglotz–Nevanlinna functions in terms of a specific type of positive semi-definite functions called Poisson-type functions. This allows us to propose a multidimensional analogue of the classical Nevanlinna kernel and a definition of generalized Nevanlinna functions in several variables. Furthermore, a characterization of the symmetric extension of a Herglotz–Nevanlinna function is also given. The subclass of Loewner functions is discussed as well, along with an interpretation of the main result in terms of holomorphic functions on the unit polydisk with non-negative real part.