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Analytic Function Theory
  • Language: en
  • Pages: 510

Analytic Function Theory

Emphasizes the conceptual and historical continuity of analytic function theory. This work covers topics including elliptic functions, entire and meromorphic functions, as well as conformal mapping. It features chapters on majorization and on functions holomorphic in a half-plane.

Ordinary Differential Equations in the Complex Domain
  • Language: en
  • Pages: 514

Ordinary Differential Equations in the Complex Domain

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

Functional Analysis and Semi-groups
  • Language: en
  • Pages: 826

Functional Analysis and Semi-groups

Early in 1952 it became obvious that a new printing would be needed, and new advances in the theory called for extensive revision. It has been completely rewritten, mostly by Phillips, and much has been added while keeping the existing framework. Thus, the algebraic tools play a major role, and are introduced early, leading to a more satisfactory operational calculus and spectral theory. The Laplace-Stieltjes transform methods, used by Hille, have not been replaced but rather supplemented by the new tools. - Foreword.

Analysis
  • Language: en
  • Pages: 648

Analysis

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Einar Hille, Classical Analysis and Functional Analysis
  • Language: en
  • Pages: 768

Einar Hille, Classical Analysis and Functional Analysis

Einar Hille is one of the very few mathematicians to make significant contributions to both classical analysis and functional analysis. This volume consists of Hille's own selection of a number of papers that highlight his career in mathematical research. One need only glance through the commentaries at the end of this volume to note that most of Hille's work on functional equations, ordinary differential equations, analytic function theory, ergodic theory, semi-groups, partial differential equations, etc., is germane to presentday research. Thus, this volume should serve as a source of guidance and inspiration for today's budding young analyst.

Perturbation Methods in the Study of Kolmogoroff's Equations
  • Language: en
  • Pages: 28

Perturbation Methods in the Study of Kolmogoroff's Equations

  • Type: Book
  • -
  • Published: 1954
  • -
  • Publisher: Unknown

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Biographical Memoirs
  • Language: en
  • Pages: 547

Biographical Memoirs

Biographic Memoirs: Volume 63 contains the biographies of deceased members of the National Academy of Sciences and bibliographies of their published works. Each biographical essay was written by a member of the Academy familiar with the professional career of the deceased. For historical and bibliographical purposes, these volumes are worth returning to time and again.

Some Aspects of Cauchy's Problem
  • Language: en
  • Pages: 20

Some Aspects of Cauchy's Problem

  • Type: Book
  • -
  • Published: 1954
  • -
  • Publisher: Unknown

None

Lectures on Ordinary Differential Equations
  • Language: en
  • Pages: 748

Lectures on Ordinary Differential Equations

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Holomorphy and Calculus in Normed SPates
  • Language: en
  • Pages: 444

Holomorphy and Calculus in Normed SPates

  • Type: Book
  • -
  • Published: 1985-04-29
  • -
  • Publisher: CRC Press

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.