Skip to main content

Spectral Properties of Semi-classical Toeplitz Operators

  • Chapter
  • First Online:
Lie Groups, Geometry, and Representation Theory

Part of the book series: Progress in Mathematics ((PM,volume 326))

  • 1195 Accesses

Abstract

The main results of this paper are an asymptotic expansion in powers of ℏ for the spectral measure μ of a semi-classical Toeplitz operator, Q, and an equivariant version of this result when Q admits an n-torus as a symmetry group. In addition we discuss some inverse spectral consequences of these results.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Guillemin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Guillemin, V., Uribe, A., Wang, Z. (2018). Spectral Properties of Semi-classical Toeplitz Operators. In: Kac, V., Popov, V. (eds) Lie Groups, Geometry, and Representation Theory. Progress in Mathematics, vol 326. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02191-7_7

Download citation

Publish with us

Policies and ethics