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Characterization of Eigen functions of Laplacian

Barik, Sibaprasad (2015) Characterization of Eigen functions of Laplacian. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    In this work we basically analyze the Classical Sine Function on real line and Eigen functions of Laplacian on n-dimensional Euclidean Space. In the first part of the thesis we define Distribution (generalized functions) and recall some basic properties of it. Second part consists of characterization of Sine function using elementary differential and integral calculus,Fourier transform and Distribution theory. In the last part, we characterize the Eigen functions of Laplacian on n-dimensional Euclidean Space.Here we use Distribution theory, mainly properties of compactly supported distribution and basic Fourier analysis.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Saugata Bandyopadhyay
    Uncontrolled Keywords: Distribution Theory; Eigen Functions; Laplacian; Sine Function
    Subjects: Q Science > QA Mathematics
    Divisions: Department of Mathematics and Statistics
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 15 Jun 2016 11:03
    Last Modified: 15 Jun 2016 11:13
    URI: http://eprints.iiserkol.ac.in/id/eprint/281

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