Nobody

臨機不見佛　大悟不存師　定乾坤劍沒人情　擒虎兕機忘聖解 (From Book of Equanimity) Facing the situation, you don't see Buddha; great enlightenment doesn't keep a teacher. The sword that settles heaven and earth obliterates human sentiments, the ability to capture tigers and rhinos forgets holy understanding. Ref. [BOS] Case 53: I raise my glass of dregs to HuangBo : zen (reddit.com) Ref. Book of Equanimity - Wikipedia

Ref. A Gendai blades mei translation help - Translation Assistance - Nihonto Message Board (militaria.co.za)

As a wild guess, 清武 - Kiyotake

昭和二十年 - Showa 20th year 兼丈 - Kanetake

無邪思 The phrase is usually written as 思無邪 (Omoi yokoshima nashi / Shi-mu-ya). That means “Thoughts without wickedness”.

Those missing kanji are 為出生 (as SteveM reads) and 以有, I think. However, I cannot understand the whole context.

Maybe, 関住大矢金貫作 - Seki ju Oya Kanetsura saku

Taima Kuniyuki is famous. His sword is national treasure class.

Amiya seems to be a historic sword shop founded in Edo period. Ref. 網屋 - 名刀幻想辞典 (meitou.info)

當麻國行 - Taima Kuniyuki 長二尺三寸六分 - Length 2-shaku 3-zun 6-bu 網屋藏 - Amiya’s possession

Did you know that the sayagaki was written by the smith himself?

宗近作 - Munechika made

Maybe Uwe is right. I can see 州 there.

Allow me a little correction. 平成十三年新作刀展覧会出品作　Heiseijūsan nen shinsaku-to tenrankai shuppin saku Submission to Heisei 13 (2001) Newly made swords Exhibition

I think that the inscription on the right is “法眼常信之圖 (Hogen Tunenobu no zu)” as Uwe says. That means its theme was inspired by Hogen Tunenobu’s painting. Ref. Tunenobu; Kanō Tsunenobu - Wikipedia I suspect that the shop’s description which Steve refers is a misunderstanding. There is a similar pattern of Yasumitsu’s mei on a tsuba inspired by Hogen Buncho no zu. 法眼文晁之圖, 水府住安光作 日本刀 猿猴捉月図鍔　法眼文晁之図　水府之住安光作　武龍斉｜日本刀 刀剣販売 e-sword【イー・ソード】 (e-sword.jp)