A derivative for complex Lipschitz maps with generalised Cauchy-Riemann equations
type: Item
instance of: scholarly article
title: A derivative for complex Lipschitz maps with generalised Cauchy-Riemann equations
zbMATH Open document ID: 1318.03051
author: Abbas Edalat
published in: Theoretical Computer Science
publication date: 2014-12-16T00:00:00Z
Mathematics Subject Classification ID: 03D65
Mathematics Subject Classification ID: 03F60
Mathematics Subject Classification ID: 06B35
Mathematics Subject Classification ID: 30G20
Mathematics Subject Classification ID: 68Q65
zbMATH DE Number: 6380851
zbMATH Keywords: L-derivative
zbMATH Keywords: Clarke gradient
zbMATH Keywords: analytic maps
zbMATH Keywords: Cauchy-Riemann equations
zbMATH Keywords: contour integration
zbMATH Keywords: continuous Scott domain
zbMATH Keywords: data type for complex maps
MaRDI profile type: Publication
full work available at URL: j.tcs.2014.11.003
OpenAlex ID: W1973769824
cites work: Q4843177
cites work: Q4177796
cites work: On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines
cites work: Q3840976
cites work: Essentially smooth Lipschitz functions
cites work: Subgradient representation of multifunctions
cites work: Generalized subdifferentials: a Baire categorical approach
cites work: Non-computable Julia sets
cites work: Optimization and nonsmooth analysis
cites work: Q4375488
cites work: Q4274009
cites work: Domain theory and integration
cites work: Dynamical systems, measures, and fractals via domain theory
cites work: When Scott is weak on the top
cites work: Q5384985
cites work: A differential operator and weak topology for Lipschitz maps
cites work: A computational model for metric spaces
cites work: Foundation of a computable solid modelling.
cites work: Domain theory and differential calculus (functions of one variable)
cites work: Foundations of Software Science and Computational Structures
cites work: A computational model for multi-variable differential calculus
cites work: A Complex Rolle's Theorem
cites work: Q5565773
cites work: Computability of Analytic Functions with Analytic Machines
cites work: Continuous Lattices and Domains
cites work: Q3852455
cites work: An effective Riemann Mapping Theorem
cites work: Is the Mandelbrot set computable?
cites work: Q5585021
cites work: Spaces of maximal points
cites work: Q5566070
cites work: Normal cycles of Lipschitz manifolds by approximation with parallel sets.
cites work: Q4235027
cites work: Q5287551
cites work: Q3966385
cites work: A minimal set-valued strong derivative for vector-valued Lipschitz functions
cites work: On effective analytic continuation
DOI: 10.1016/J.TCS.2014.11.003
description: scientific article; zbMATH DE number 6380851