RATIONAL DISCRETE ANALYTIC FUNCTIONS ON A RHOMBIC LATTICE

Daniel Alpay; Zubayir H. Kazi; Mariana Tecalero; Dan Volok

RATIONAL DISCRETE ANALYTIC FUNCTIONS ON A RHOMBIC LATTICE

Daniel Alpay
, Zubayir H. Kazi
, Mariana Tecalero
, Dan Volok

Research output: Contribution to journal › Article › peer-review

Abstract

A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.

Original language	English
Pages (from-to)	1447-1464
Number of pages	18
Journal	Pure and Applied Functional Analysis
Volume	9
Issue number	6
State	Published - 1 Jan 2024
Externally published	Yes

Keywords

Discrete analytic functions
rational functions

ASJC Scopus subject areas

Analysis
Applied Mathematics
Control and Optimization

Cite this

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title = "RATIONAL DISCRETE ANALYTIC FUNCTIONS ON A RHOMBIC LATTICE",

abstract = "A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.",

keywords = "Discrete analytic functions, rational functions",

author = "Daniel Alpay and Kazi, \{Zubayir H.\} and Mariana Tecalero and Dan Volok",

year = "2024",

month = jan,

day = "1",

language = "English",

volume = "9",

pages = "1447--1464",

journal = "Pure and Applied Functional Analysis",

issn = "2189-3756",

publisher = "Yokohama Publications",

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T1 - RATIONAL DISCRETE ANALYTIC FUNCTIONS ON A RHOMBIC LATTICE

AU - Alpay, Daniel

AU - Kazi, Zubayir H.

AU - Tecalero, Mariana

AU - Volok, Dan

PY - 2024/1/1

Y1 - 2024/1/1

N2 - A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.

AB - A novel basis of discrete analytic polynomials on a rhombic lattice is introduced and the associated convolution product is studied. A class of discrete analytic functions that are rational with respect to this product is also described.

KW - Discrete analytic functions

KW - rational functions

UR - https://www.scopus.com/pages/publications/85213016898

M3 - Article

AN - SCOPUS:85213016898

SN - 2189-3756

VL - 9

SP - 1447

EP - 1464

JO - Pure and Applied Functional Analysis

JF - Pure and Applied Functional Analysis

IS - 6

ER -

RATIONAL DISCRETE ANALYTIC FUNCTIONS ON A RHOMBIC LATTICE

Abstract

Keywords

ASJC Scopus subject areas

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