Distributions and Operators

Authors:

ISBN: 978-0-387-84894-5 (Print) 978-0-387-84895-2 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XII

  2. Distributions and derivatives

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-7

      Motivation and overview

    3. No Access

      Book Chapter

      Pages 9-25

      Function spaces and approximation

    4. No Access

      Book Chapter

      Pages 27-54

      Distributions. Examples and rules of calculus

  3. Extensions and applications

    1. Front Matter

      Pages 55-55

    2. No Access

      Book Chapter

      Pages 57-94

      Realizations and Sobolev spaces

    3. No Access

      Book Chapter

      Pages 95-122

      Fourier transformation of distributions

    4. No Access

      Book Chapter

      Pages 123-160

      Applications to differential operators. The Sobolev theorem

  4. Pseudodifferential operators

    1. Front Matter

      Pages 161-161

    2. No Access

      Book Chapter

      Pages 163-194

      Pseudodifferential operators on open sets

    3. No Access

      Book Chapter

      Pages 195-215

      Pseudodifferential operators on manifolds, index of elliptic operators

  5. Boundary value problems

    1. Front Matter

      Pages 216-216

    2. No Access

      Book Chapter

      Pages 219-249

      Boundary value problems in a constant-coefficient case

    3. No Access

      Book Chapter

      Pages 251-304

      Pseudodifferential boundary operators

    4. No Access

      Book Chapter

      Pages 305-333

      Pseudodifferential methods for boundary value problems

  6. Topics on Hilbert space operators

    1. Front Matter

      Pages 335-335

    2. No Access

      Book Chapter

      Pages 337-372

      Unbounded linear operators

    3. No Access

      Book Chapter

      Pages 373-404

      Families of extensions

    4. No Access

      Book Chapter

      Pages 405-422

      Semigroups of operators

  7. Back Matter

    Pages 423-464