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Preliminary Background

In: Functional Analysis and the Feynman Operator Calculus

Author

Listed:
  • Tepper L. Gill

    (Howard University, Departments of Electrical and Computer Engineering)

  • Woodford Zachary

    (Howard University, Departments of Electrical and Computer Engineering)

Abstract

This chapter is composed of two parts: Basic Analysis and Intermediate Analysis.The first part is a review of some of the basic background that is required from the first 2 years of a standard program in mathematics. There are program differences so that some areas may receive more coverage while others receive less. Our purpose is to provide a reference point for the reader and establish notation. In a few important cases, we have provided proofs of major theorems. In other cases, we delayed a proof when a more general result is proven in a later chapter.In the second part of this chapter, we include some intermediate to advanced material that is required later. In most cases, motivation is given along with additional proof detail and specific references.

Suggested Citation

  • Tepper L. Gill & Woodford Zachary, 2016. "Preliminary Background," Springer Books, in: Functional Analysis and the Feynman Operator Calculus, chapter 0, pages 1-48, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-27595-6_1
    DOI: 10.1007/978-3-319-27595-6_1
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