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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Discrete Dirac Operator and the Discrete Generalized Weierstrass Representation in Pseudo-Euclidean Spaces.

The Discrete Dirac Operator and the Discrete Generalized Weierstrass Representation in Pseudo-Euclidean Spaces.

Zakharov, Dmitry

Paperback

General Mathematics

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ISBN10: 124384941X
ISBN13: 9781243849410
Publisher: Proquest Umi Dissertation Pub
Pages: 60
Weight: 0.28
Height: 0.12 Width: 7.44 Depth: 9.69
Language: English
In this thesis we consider the problem of finding a integrable discretization of the Dirac operator. We show that an appropriate deformation of the spectral properties of the eigen-function of the smooth Dirac operator leads to a discrete integrable Dirac operator. We use this discrete Dirac operator to construct a discrete analogue of the modified Novikov--Veselov hierarchy and a discrete analogue of the generalized Weierstrass representation of isotropically embedded surfaces in pseudo-Euclidean spaces.

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