UNT Theses and Dissertations - 3 Matching Results

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Continua and Related Topics

Description: This paper is a study of continue and related metric spaces, Chapter I is an introductory chapter. Irreducible continua and noncut points are the main topics in Chapter II. The third chapter begins with a few results on locally connected spaces. These results are then used to prove results in locally connected continua. Decomposable and indecomposable continua are dealt with in Chapter IV. Totally disconnected metric spaces are studied in the beginning of Chapter V. Then we see that every compa… more
Date: August 1982
Creator: Brucks, Karen M. (Karen Marie), 1957-
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Fourier Transforms of Functions on a Finite Abelian Group

Description: This paper presents a theory of Fourier transforms of complex-valued functions on a finite abelian group and investigates two applications of this theory. Chapter I is an introduction with remarks on notation. Basic theory, including Pontrvagin duality and the Poisson Summation formula, is the subject of Chapter II. In Chapter III the Fourier transform is viewed as an intertwining operator for certain unitary group representations. The solution of the eigenvalue problem of the Fourier transform… more
Date: August 1982
Creator: Currey, Bradley Norton
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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Sufficient Criteria for Total Differentiability of a Real Valued Function of a Complex Variable in Rn an Extension of H. Rademacher's Result for R²

Description: This thesis provides sufficient conditions for total differentiability almost everywhere of a real-valued function of a complex variable defined on a bounded region in IRn. This thesis extends H. Rademacher's 1918 results in IR2 which culminated in total differentiability, to IRn
Date: August 1982
Creator: Matovsky, Veron Rodieck
Item Type: Refine your search to only Thesis or Dissertation
Partner: UNT Libraries
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