There is more than one band with this name:

1. the pillows are a Japanese rock band, best known outside Japan for their contributions to the soundtrack of the anime series Fooly Cooly (FLCL).

The current members are:
Sawao Yamanaka (vocals, guitar)
Yoshiaki Manabe (guitar)
Shinichiro Sato (drums)

The band officially formed on September 16, 1989 as a four-man group. The fourth man and original bassist, Kenji Ueda, left the band in 1992 to become a music producer and do solo work. Since then, Tatsuya Kashima and later Jun Suzuki have taken his place as supporting bassists. Neither Kashima nor Suzuki have been named official members out of respect for Ueda.

The band name is intentionally left without any capitalization.

2. An alternative rock band The Pillows from High Tatras, Slovakia.