Skip to main content

The Phase Space Associated to the Heisenberg Group

  • Chapter
  • First Online:
Offbeat Integral Geometry on Symmetric Spaces

Abstract

Here we give an analog of the theory developed in Chapter 4 for the case of the phase space ℂn with the twisted convolution \((f_1\,\star\,f_2)\,=\, \int_{\mathbb{C}^n} f_1 (z - w)f_2 (w)e^{\frac{i} {2}IM\,\left\langle {\left. {z,w} \right\rangle }\mathbb{C} \right.} \,dw.\)

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Basel

About this chapter

Cite this chapter

Volchkov, V.V., Volchkov, V.V. (2013). The Phase Space Associated to the Heisenberg Group. In: Offbeat Integral Geometry on Symmetric Spaces. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0572-8_5

Download citation

Publish with us

Policies and ethics