Tektronix's new software is something that precisely meets the needs of customers who use logic analyzers.
Literal
Tektronix [possessive-の] new software [topic-は], logic-analyzer [object-を] use customers [possessive-の] needs [to-に] precisely answers thing is.
Corporate marketing language. まさしく (precisely/exactly) emphasizes the fit. ニーズに応える (meet needs) is a standard business phrase. ~ものです at the end characterizes the product. The relative clause ロジック・アナライザを使う顧客 defines the target market.