The description is quite vague.
But the info given seems to point to Alfons Walde:
Walde is known best for his winter landscapes and farming images, especially skiing and sporting scenes, painted in tempera or impastoed oil paint. Many of his paintings can be seen in the Museum gallery in Kitzbühel.
A recent catalogue with some examples: PDF
He painted for example a 'matching in name' one called "Kitzbühel im Tauschnee" (Kitzbühel in melting/thawing snow):
(click to enlarge images)
Given that the 'painting' is described in the question as a "black and white piece", maybe you saw either a drawing or a different version of that painting?
At least, that image (that is the painter, painting of that name, with that motif) is found within the collection of the Albertina (but not visible online):
Stadt im Tauschnee (Kitzbühel), Künstler_in: Alfons Walde (Oberndorf 1891 - 1958 Kitzbühel), Datierung: 1919–1920, Technik: Öl, Tempera auf Leinwand, Stifter_in / Leihgeber_in: Dauerleihgabe von Dipl. Ing. ETH Christian Holzmeister, Inventarnummer: GE588DL
Another version by the same painter, matching but slightly different title ("City in melting/thawing snow"), but clearly still/again definitely Kitzbühel and 'somewhat more black&white', looks more like this:
Melting Snow in the City “Stadt im Tauschnee”, about 1919/20,
Tempera on Paper, 27,95 x 31,89 in (71 x 81 cm), Wien, Österreichische Galerie Belvedere
— Source: AlfonsWalde.com: City & Town Themes
But beware the colour reproduction of web images:
Colours which tend to differ a bit between versions, example, example, extreme example.
On flickr we see the following version exhibited:
— Alfons Walde: "Stadt im Tauschnee" (Kitzbühel) 1919–1920.
Photo taken in Vienna, on 2018:12:07 20:27:53, by flickr user "neppanen" at the location tagged "Belvedere"
The Belvedere Museum, Vienna, lists online nine objects by Walde.