A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary

Takaaki Nomura

doi:10.1016/0022-1236(89)90090-6

A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary

Takaaki Nomura

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Realizing holomorphic discrete series representations on Hilbert spaces H (Λ) of vector valued holomorphic functions on a Siegel domain of type II, we establish a Paley-Wiener type theorem for H (Λ) analogous to the classical one for Hardy space on the upper half plane.

Original language	English
Pages (from-to)	1-37
Number of pages	37
Journal	Journal of Functional Analysis
Volume	82
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(89)90090-6
Publication status	Published - Jan 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis

Access to Document

10.1016/0022-1236(89)90090-6

Cite this

@article{d6577b4410a14a2bafc457d894166123,

title = "A description of a space of holomorphic discrete series by means of the Fourier transform on the {\v S}ilov boundary",

abstract = "Realizing holomorphic discrete series representations on Hilbert spaces H (Λ) of vector valued holomorphic functions on a Siegel domain of type II, we establish a Paley-Wiener type theorem for H (Λ) analogous to the classical one for Hardy space on the upper half plane.",

author = "Takaaki Nomura",

year = "1989",

month = jan,

doi = "10.1016/0022-1236(89)90090-6",

language = "English",

volume = "82",

pages = "1--37",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary

AU - Nomura, Takaaki

PY - 1989/1

Y1 - 1989/1

N2 - Realizing holomorphic discrete series representations on Hilbert spaces H (Λ) of vector valued holomorphic functions on a Siegel domain of type II, we establish a Paley-Wiener type theorem for H (Λ) analogous to the classical one for Hardy space on the upper half plane.

AB - Realizing holomorphic discrete series representations on Hilbert spaces H (Λ) of vector valued holomorphic functions on a Siegel domain of type II, we establish a Paley-Wiener type theorem for H (Λ) analogous to the classical one for Hardy space on the upper half plane.

UR - http://www.scopus.com/inward/record.url?scp=45149145467&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45149145467&partnerID=8YFLogxK

U2 - 10.1016/0022-1236(89)90090-6

DO - 10.1016/0022-1236(89)90090-6

M3 - Article

AN - SCOPUS:45149145467

SN - 0022-1236

VL - 82

SP - 1

EP - 37

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

A description of a space of holomorphic discrete series by means of the Fourier transform on the Šilov boundary

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this