Keywords: High-redshift galaxies(734) — Lyman-alpha galaxies(978) — Galaxy properties(615)

1. INTRODUCTION

2. TARGET SELECTION AND SPECTROSCOPIC OBSERVATIONS

2.1. Subaru Suprime-Cam images in SXDS and SDF

2.2. Target selection in SXDS and SDF

2.3. Spectroscopic observations and data reduction

3. LAE SAMPLES AND THEIR PROPERTIES AT Z∼3.7 AND Z∼4.8

3.1. LAE samples

3.2. Ly α redshifts

3.3. Ly α line and UV continuum flux

4. LY α LUMINOSITY FUNCTION

4.1. Sample completeness

4.2. The 1/V_a method

4.3. Maximum likelihood method

5. DISCUSSION

5.1. Comparison with previous studies

5.2. Evolution of the Ly α LF

6. SUMMARY