HARMONIC ANALYSIS ON THE PROPER VELOCITY GYROGROUP

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

FERREIRA MILTON

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2017 | Volume:11 | Issue:1 Page(s): 21-49

Download Full-Text

View:

387

Download:

147

Cites:

Information Journal Paper

Title

HARMONIC ANALYSIS ON THE PROPER VELOCITY GYROGROUP

Author(s)

FERREIRA MILTON | Issue Writer Certificate

Keywords

PV GYROGROUP

LAPLACE-BELTRAMI OPERATOR

EIGENFUNCTIONS

GENERALIZED HELGASON–FOURIER TRANSFORM

PLANCHEREL’S THEOREM

Abstract

In this article we study harmonic analysis on the proper velocity (PV) gyrogroup using the gyrolanguage of analytic hyperbolic geometry. This PV addition is the relativistic addition of proper velocities in special relativity, and it is related with the hyperboloid model of hyperbolic geometry. The generalized harmonic analysis depends on a complex parameter zz and on the radius tt of the hyperboloid, and it comprises the study of the generalized translation operator, the associated convolution operator, the generalized Laplace–Beltrami operator and its EIGENFUNCTIONS, the generalized Poisson transform and its inverse, the GENERALIZED HELGASON–FOURIER TRANSFORM and its inverse, and PLANCHEREL’S THEOREM. In the limit of large tt, t→+¥, the generalized harmonic analysis on the hyperboloid tends to the standard Euclidean harmonic analysis on RnRn, thus unifying hyperbolic and Euclidean harmonic analysis.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

FERREIRA, MILTON. (2017). HARMONIC ANALYSIS ON THE PROPER VELOCITY GYROGROUP. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(1), 21-49. SID. https://sid.ir/paper/317066/en

Vancouver: Copy

FERREIRA MILTON. HARMONIC ANALYSIS ON THE PROPER VELOCITY GYROGROUP. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2017;11(1):21-49. Available from: https://sid.ir/paper/317066/en

IEEE: Copy

MILTON FERREIRA, “HARMONIC ANALYSIS ON THE PROPER VELOCITY GYROGROUP,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 11, no. 1, pp. 21–49, 2017, [Online]. Available: https://sid.ir/paper/317066/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops