Acts 2:32 does speak of Jesus being raised up (e.g. resurrection), indeed I Corinthians 15:17 goes so far as to say: “If (Jesus) has not been raised, your faith is futile and you are still in your sins.”
Yet nowhere in the T'nach is there a prediction that the messiah will die and be resurrected.
Far from the messiah's resurrection being predicted we are told that the messiah must fulfill all the messianic prophecies (such as world peace) in his lifetime or he is not the messiah. The messiah will not fail to fulfill the prophecies, die and resurrect (as Jesus was said to do).
T'hillim / Psalm 30 is a song written by King David to be sung at the dedication of the first Temple built by his son, Solomon. It begins "A mizmor (psalm) for the inauguration of the Beit HaMikdash (the Temple), by David. I will exalt You, O Lord, for You have raised me up, and You have not allowed my enemies to rejoice over me." T'hillim / Psalm 30:1-2.
Jesus' enemies DID rejoice over him -- ergo this psalm does not fit Jesus.
Line 3 (4 in Christian translations which either do not number the first line or omit it completely) says "Hashem, You raised my נַפְשִׁי / life force / soul from the pit. You saved my life from descending to the grave."
Far from dying and resurrecting, the psalmist is thanking G-d for saving him from death. . .
The Hebrew word נַפְשִׁי / life force is translated as "soul" so the list maker takes this to mean that someone died and their soul "rose from the grave" (resurrection). The word here is נַפְשִׁי / nafshi translates to life force, not immortal soul. Yet most missionaries think that this line is speaking of the immortal “soul” since most translations translate it as "soul." This misleads innocent readers into thinking that this line is about the immortal soul, when in reality it is for about the "soul" (e.g. blood coursing) through your veins -- your life-force.
נַפְשׁוֹת nafshot (plural) or נֶֽפֶשׁ nefesh (singular) always refers to life force. Look up נַפְשׁוֹת in a translator (like Google Translate) and it is translated as "people." When you read the T'nach you'll see that even plants and animals possess a נֶֽפֶשׁ nefesh -- see B'reshit / Genesis 1:30 and 6:17 -- this is NOT the immortal soul. The immortal soul is from the ru'ah that G-d breathed into man (B'reshit / Genesis 2:7). Some translate נֶֽפֶשׁ nefesh as "the soul of the FLESH" -- meaning not the immortal soul, but (yet again) the "life force."
David is speaking of a life not being killed -- not a soul which died and was resurrected.
Not to get too complicated but while animals have a נֶֽפֶשׁ / nefesh man possesses an immortal soul -- actually there are five levels to a man's soul from the נֶֽפֶשׁ nefesh to the immortal soul. . . The Midrash tells us: “The soul is called by five names: Nefesh, Ruach, Neshama, Chaya, and Yechidah.” Chassidic teachings explain that these five names are not synonyms for one another; rather, each one refers to a distinct level and characteristic of the soul. Together all five are called נפש האלקית / nefesh ha'elokit -- but this term is not found in the T'nach. Do not let missionaries mislead you that the term נֶֽפֶשׁ / nefesh in the T'nach could possibly refer to the immortal soul -- it never does. For more information on the soul I suggest reading this article from the Aish website.
Now read down to line 10: "What gain is there for my בְּדָמִי֮ / life (blood) in my descent to the grave? Will the dust acknowledge You? Will it declare Your truth?"
David is saying that the dead cannot praise G-d (a concept repeated in Y'shayahu / Isaiah 38:18 "For the grave shall not thank You, nor shall death praise You; those who descend into the pit shall not hope for Your truth", T'hillim / Psalm 6:6 "For there is no memory of You in death; in the grave, who will thank You?" and T'hillim / Psalm 115:17 "Neither will the dead praise G-d, nor all those who descend to the grave."
The psalmist speaks of G-d healing him (ergo he did not die and resurrect as claimed by the list maker): "O L-rd, I have cried out to You, and You have healed me." T'hillim / Psalm 30:3.
This psalm is King David's a song of celebration. David speaks for the Jewish people, proclaiming a renewed devotion to G-d and offering thanks to Him for being saved from death and destruction even though he had many enemies throughout his life. Next the psalm has David telling the nation to express their joy through song. He asks them to sing in praise of G-d’s quality of forgiveness. This psalm is one of joy and thanksgiving. . .
Jews believe in resurrection -- but this psalm does not discuss resurrection. If one misread it as such then the resurrected one would have to be David who wrote the psalm (as the author speaks of G-d saving him from his enemies -- it is not a prediction about someone else, aka Jesus).
There is no biblical prophecy that the messiah will die and be resurrected (indeed, if a person dies before fulfilling all the messianic prophecies he is NOT the messiah).
The messianic prophecy regarding resurrection states that the righteous of the world will be resurrected during the time of the messiah. This did not happen with Jesus. We are told that some dead came out of their graves (although no external sources speak of what one would think was a memorable occasion) -- but if this happened only in Jerusalem and not worldwide it failed to fulfill the prophecy regarding the resurrection of the righteous.
When the messiah comes the righteous will be resurrected and the soul reunited with body; this is why Jews do not believe in cremation or embalming (Isaiah 26). The T'nach seems to tell us that only the righteous will be resurrected (Daniel 12). Yet, there is a school of thought that every Jewish soul that ever lived will be resurrected. “Even the empty ones among you [Israel] are filled with mitzvot as a pomegranate [is filled with seeds]"—Talmud, Berachot 57a and The soul of every Jew is a "veritable portion of G‑d," and as such is eternal and indestructible.
Ask yourself: if the T'nach tells us that one day ALL the righteous will be resurrected, how can one person dying and resurrecting be a prophecy about the messiah who is one person? If anything, since all the righteous will resurrect, Jesus' supposed resurrection is the OPPOSITE of a messianic prophecy.
There is no prophecy in the T'nach (bible) that the messiah will die and be resurrected, and T'hillim / Psalm 30 is not about resurrection, it is not a prophecy and it does not fit Jesus whose enemies killed him (rather than he being saved from his enemies as is the person in the psalm).