Eigenfunctions of Laplacians in some two-dimensional domains

Ya G. Sinai, I. Vinogradov

Research output: Chapter in Book/Report/Conference proceedingChapter


We construct eigenfunctions of a modified Laplace operator in certain two-dimensional polygonal domains with Dirichlet boundary condition. A special property of domains is the existence of a lattice on which our operator can be defined. This allows us to give explicit expressions for eigenfunctions.

Original languageEnglish (US)
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages5
StatePublished - 2017

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

All Science Journal Classification (ASJC) codes

  • General Mathematics


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