A Remark on Regularization in Hilbert Spaces.

Abstract

It is well-known that in finite dimensions one may regularize continuous functions (using convolution for example). The usual methods to do so fail in infinite dimensional Hilbert spaces. This document proposes a method to solve this difficulty, which is based upon explicit formula that are called inf-convolution formulas.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA149046

Entities

People

  • J. M. Lasry
  • Pierre Louis Lions

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Continents
  • Contracts
  • Convolution
  • Equations
  • Hilbert Space
  • Inequalities
  • Mathematics
  • Military Research
  • North Carolina
  • Scalar Functions
  • Sequences
  • Translations
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Computer science
  • Mathematics

Readers

  • Calculus or Mathematical Analysis

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  • Space