Jove
Visualize
Contact Us

Related Experiment Videos

Multipliers on compact lie groups.

N J Weiss1

  • 1Department of Mathematics, Columbia University, New York, N.Y. 10027.

Proceedings of the National Academy of Sciences of the United States of America
|May 1, 1971
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Low vision management of retinitis pigmentosa.

Journal of the American Optometric Association·1991
Same author

An unusual application of prisms for field enhancement.

Journal of the American Optometric Association·1990
Same author

Comparison of chloral hydrate with and without promethazine in the sedation of young children.

Pediatric dentistry·1985
Same author

Limits of zeroes of recursively defined polynomials.

Proceedings of the National Academy of Sciences of the United States of America·1975
Same author

An application of cemented prisms with severe field loss.

American journal of optometry and archives of American Academy of Optometry·1972
Same author

Management of the low vision patient with peripheral field loss.

Journal of the American Optometric Association·1969
Same journal

The TaMYB55-TaSnRK1α1-TabZIP9 module confers heat stress tolerance in wheat.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Superstatistics approach to turbulent circulation fluctuations.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

A molecular timescale for evolution of cobamide biosynthesis.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Pierre Chambon, a pioneer of molecular biology and gene regulation in eukaryotes.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Granulosa cell glycogen fuels the avascular corpus luteum.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Synthetic essentiality of TRAIL/TNFSF10 in VHL-deficient renal cell carcinoma.

Proceedings of the National Academy of Sciences of the United States of America·2026
See all related articles
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Researchers identified conditions for biinvariant operators on compact Lie groups to be bounded on L(p) spaces. This finding utilizes g-functions and a Fourier transform analog, advancing operator theory on Lie groups.

Area of Science:

  • Mathematics
  • Functional Analysis
  • Lie Group Theory

Background:

  • Biinvariant operators are crucial in the study of Lie groups.
  • Understanding the boundedness of operators on L(p) spaces is fundamental in harmonic analysis.

Purpose of the Study:

  • To establish sufficient conditions for the boundedness of biinvariant operators on compact Lie groups.
  • To explore the relationship between operator properties and g-functions on Lie groups.

Main Methods:

  • Utilizing properties of g-functions specific to compact Lie groups.
  • Applying an analog of the differentiation-multiplication relationship from Fourier transform theory.

Main Results:

  • Sufficient conditions were determined for biinvariant operators to exhibit boundedness on L(p) spaces (1 < p < infinity).

Related Experiment Videos

  • The study demonstrates a novel connection between g-functions and operator boundedness.

    • Conclusions:

    • The findings provide a theoretical framework for analyzing biinvariant operators on compact Lie groups.
    • The methods offer new insights into the spectral properties of operators in this context.