Distribution Function and Nonincreasing Rearrangement of BC-Valued Functions with BC-Measure

This paper investigates the distribution function and nonincreasing rearrangement of B C -valued functions equipped with the hyperbolic norm. It begins by introducing the concept of the distribution function for B C -valued functions, which characterizes valuable insights into the behavior and struc...

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Bibliographic Details
Published inAdvances in applied Clifford algebras Vol. 34; no. 3; p. 22
Main Author Eryılmaz, İlker
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2024
Springer Nature B.V
Subjects
Applications of Mathematics
Distribution functions
Investigations
Mathematical and Computational Physics
Mathematical Methods in Physics
Number systems
Physics
Physics and Astronomy
Theorems
Theoretical
Distribution Function
Bicomplex numbers
Secondary 28E99
valued functions
Primary 46E30
Hyperbolic norm
30G35
Rearrangement
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ISSN0188-7009
1661-4909
DOI10.1007/s00006-024-01327-w

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Summary:This paper investigates the distribution function and nonincreasing rearrangement of B C -valued functions equipped with the hyperbolic norm. It begins by introducing the concept of the distribution function for B C -valued functions, which characterizes valuable insights into the behavior and structure of B C -valued functions, allowing to analyze their properties and establish connections with other mathematical concepts. Next, the nonincreasing rearrangement of B C -valued functions with the hyperbolic norm are studied. By exploring the nonincreasing rearrangement of B C -valued functions, it is aimed to determine how the hyperbolic norm influences the rearrangement process and its impact on the function’s behavior and properties.
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ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-024-01327-w