Analysis

著者

• Lieb, Elliott H.
• Loss, Michael

書誌事項

Analysis

Elliott H. Lieb, Michael Loss

（Graduate studies in mathematics, v. 14）

American Mathematical Society, c1997

注記

Bibliography: p. 269-271

Includes index

内容説明・目次

内容説明

This text provides a course in real analysis, begining with measure theory. It is presumed that readers have a sound basic background in calculus. Topics covered include P-spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory and Sobolev spaces. The text concludes with a chapter on the calculus of variation and includes examples from mathematical physics.

目次

Preface. 1: Measure and Integration. 2: Lp-Spaces. 3: Rearrangement Inequalities. 4: Integral Inequalities. 5: The Fourier Transform. 6: Distributions. 7: The Sobolev Spaces H1 and H1/2. 8: Sobolev Inequalities. 9: Potential Theory and Coulomb Energies. 10: Regularity of Solutions of Poisson's Equation. 11: Introduction to the Calculus of Variations

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA28769450
• ISBN:
  • 0821806327
• LCCN: 96031605
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: xviii, 278 p.
• 大きさ: 27 cm
• 分類:
  • NDC8 : 413.1
  • LCC : QA300
  • DC20 : 515
• 件名:
  • LCSH : Mathematical analysis
• 親書誌ID:
  • BA20542214