# The traveling salesman problem and harmonic analysis.

Publicacions Matemàtiques (1991)

- Volume: 35, Issue: 1, page 259-267
- ISSN: 0214-1493

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topJones, Peter W.. "The traveling salesman problem and harmonic analysis.." Publicacions Matemàtiques 35.1 (1991): 259-267. <http://eudml.org/doc/41688>.

@article{Jones1991,

abstract = {In this paper we propose to discuss some relationships between the classical Traveling Salesman Problem (TSP), Litlewood-Paley theory, and harmonic measure. This circle of ideas is also closely related to the theory of Cauchy integrals on Lipschitz graphs, and this aspect is discussed more fully in the paper of David and Semmes [2] in this proceedings. The main differences between the subjects in [2] and this paper are that the results here are valid for one dimensional sets, whereas [2] treats d dimensional sets.},

author = {Jones, Peter W.},

journal = {Publicacions Matemàtiques},

keywords = {traveling salesman problem; dyadic square; Lipschitz domains; harmonic measure; Cauchy integral operator on Lipschitz curves},

language = {eng},

number = {1},

pages = {259-267},

title = {The traveling salesman problem and harmonic analysis.},

url = {http://eudml.org/doc/41688},

volume = {35},

year = {1991},

}

TY - JOUR

AU - Jones, Peter W.

TI - The traveling salesman problem and harmonic analysis.

JO - Publicacions Matemàtiques

PY - 1991

VL - 35

IS - 1

SP - 259

EP - 267

AB - In this paper we propose to discuss some relationships between the classical Traveling Salesman Problem (TSP), Litlewood-Paley theory, and harmonic measure. This circle of ideas is also closely related to the theory of Cauchy integrals on Lipschitz graphs, and this aspect is discussed more fully in the paper of David and Semmes [2] in this proceedings. The main differences between the subjects in [2] and this paper are that the results here are valid for one dimensional sets, whereas [2] treats d dimensional sets.

LA - eng

KW - traveling salesman problem; dyadic square; Lipschitz domains; harmonic measure; Cauchy integral operator on Lipschitz curves

UR - http://eudml.org/doc/41688

ER -

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