The Logarithmic potential and other monographs

著者

書誌事項

The Logarithmic potential and other monographs

Chelsea Pub. Co., 1980

タイトル別名

Monographs

大学図書館所蔵 件 / 全12件

この図書・雑誌をさがす

注記

Title on spine: Monographs

Includes bibliographical references

収録内容

  • Evans, G. C. THe logarithmic potential
  • Bliss, G. A. Fundamental existence theorems
  • Kasner, E. Differential-geometric aspects of dynamics

内容説明・目次

内容説明

Contains the following monographs - ""The Logarithmic Potential"" by Evans, ""Fundamental Existence Theorems"" by Bliss, and ""Differential-Geometric Aspects of Dynamics"" by Kasner.

目次

  • Preliminary Concepts. Stieltjes Integrals and Fourier Series: 1 Functions of limited variation
  • 2 Continuation of the preceding
  • 3 Integrals with respect to a function of limited variation
  • 4 Note on the second law of the mean
  • 5 Classical theorems on integrals and limits of integrals
  • 6 The limits of Stieltjes integrals
  • 7 Note on Lebesgue integrals
  • 8 Convergence of Fourier series
  • 9 Summability of series Functions Harmonic Within a Circle: 10 Preliminary theorems
  • 11 A preliminary result
  • 12 Note on integral identities
  • 13 Digression: Functions of points and of point sets
  • 14 Properties of the Poisson-Stieltjes integral
  • 15 Continuation of the preceding: Behaviour of $u(r, \theta)$ in the neighborhood of the boundary
  • 16 The Poisson integral: $F(\varphi)$ absolutely continuous Necessary and Sufficient Conditions. The Dirichlet Problems for the Circle: 17 Fundamental theorem and lemma
  • 18 Proof of fundamental theorem
  • 19 Special cases of the Poisson integral
  • 20 The Dirichlet problem and its extension Potentials of a Single Layer and the Neumann Problem: 21 The Stieltjes integral for potentials of a single layer
  • 22 Necessary and sufficient conditions
  • 23 Further properties
  • 24 The Neumann problems
  • 25 General points of view
  • 26 Digression: Physical interpretation of a general distribution of mass
  • 27 Cauchy's integral formula General Simply Connected Plane Regions and the Order of Their Boundary Points: 28 Conformal transformations and general regions
  • 29 Invariant forms of conditions (i), (ii) etc.
  • 30 Invariant forms of conclusions
  • 31 Order of boundary points
  • 32 Integrals on the boundary and the Dirichlet problems
  • 33 Special cases of the condition (ii). The continuous boundary value problem
  • 34 A new continuous boundary value problem
  • 35 The generalized Neumann problem in the general region Plane Regions of Finite Connectivity: 36 Functions harmonic outside a circle
  • 37 The multiply connected region bounded by $n+1$ distinct circles
  • 38 Representation in terms of the Green's function
  • 39 Boundary integrals and Stieltjes integral equations
  • 40 General regions of finite connectivity. Isolated point boundaries
  • 41 Annular regions. Determination of the functions $F_0(\theta)$ and $F_1(\theta)$
  • 42 Uniqueness of the representation of Theorem 3 for $S$ Related Problems: 43 A simple discontinuous boundary value problem
  • 44 Continuous boundary value problems
  • 45 Regions with continuous boundaries
  • 46 Regions with rectifiable boundaries
  • 47 Regions of infinite connectivity
  • 48 Remarks on necessary and sufficient conditions
  • 49 Convergence in the mean of positive order less than one
  • 50 Integro-differential equations of Bocher type.

「Nielsen BookData」 より

詳細情報

ページトップへ