On Analog of Fourier Transform in Interior of the Light Cone

Author

Shtepina, Tatyana

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-08-05

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We introduce an analog of Fourier transform Fhρ in interior of light cone that commutes with the action of the Lorentz group.

We describe some properties of Fhρ, namely, its action on pseudoradial functions and functions being products of pseudoradial function and space hyperbolic harmonics.

We prove that Fhρ-transform gives a one-to-one correspondence on each of the irreducible components of quasiregular representation.

We calculate the inverse transform too.

American Psychological Association (APA)

Shtepina, Tatyana. 2014. On Analog of Fourier Transform in Interior of the Light Cone. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014579

Modern Language Association (MLA)

Shtepina, Tatyana. On Analog of Fourier Transform in Interior of the Light Cone. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014579

American Medical Association (AMA)

Shtepina, Tatyana. On Analog of Fourier Transform in Interior of the Light Cone. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014579

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1014579