Hypersingular Integrals and Their Applications (Analytical Methods and Special Functions)

個数：

Hypersingular Integrals and Their Applications (Analytical Methods and Special Functions)

  • 提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
    【重要ご説明事項】
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • 【入荷遅延について】
    世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
    おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。
  • ◆画像の表紙や帯等は実物とは異なる場合があります。
  • ◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
    また、洋書販売価格は、ご注文確定時点での日本円価格となります。
    ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。
  • 製本 Hardcover:ハードカバー版／ページ数 378 p.
  • 言語 ENG
  • 商品コード 9780415272681
  • DDC分類 515.723

Full Description

Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before building more sophisticated ideas, and his discussions include a description of hypersingular integrals as they relate to functional spaces. Hypersingular Integrals and Their Applications also presents recent results and applications that will prove valuable to graduate students and researchers working in mathematical analysis.

Contents

Part I: Hypersingular Integrals and Their Applications. Some Basics from the Theory of Special Functions and Operator Theory. The Reisz Potential Operator and the Lizorkin Type Invarient Spaces. Hypersingular Integrals with Constant Characteristics Potentials and Hypersingular Integrals with Non-Homogenous Characteristics. Hypersingular Integrals on the Unit Sphere. Part II: Applications of Hypersingular Integrals. Hypersingular Integrals in the Theory of Functional Spaces. Solution of Multidimensional Integral Equations of the First Kind with a Potential Type Kernel. Hypersingular Operators as Positive Fractional Powers of Some Operators of Mathematical Physics. Regularization of Integral Equations of the First Kind with a Potential Type Kernel Applications to Function Spaces on a Sphere. Some Modifications of Hypersingular Integrals and Their Applications.