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Apr
8
accepted Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
Apr
7
comment Finding an algebra of smooth functions on a manifold with a given product.
@JasonDeVito Could you explain more about your second observation? I wonder how "maximal ideal" shows up in this context. Thank you!
Apr
6
asked Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
Mar
19
revised What are the connections between spectral expansion and differential operator?
edited tags
Mar
19
comment What are the connections between spectral expansion and differential operator?
@muzzlator Thanks for the comments! Yes, I know the spectral expansion facilitates solving differential equation, but is it the only motivation? (Just kidding: I myself find it easier to differentiate $x$ than to first write its Fourier expansion and then differentiate the expansion...)
Mar
19
asked What are the connections between spectral expansion and differential operator?
Mar
10
comment Is this a dirac delta function?
Can I ask how to evaluate the second integral in you post?
Feb
19
accepted Convergence of a particular double series
Feb
19
comment Convergence of a particular double series
Thanks for the clean approach!
Feb
19
asked Convergence of a particular double series
Feb
18
accepted $C^k$ norm for functions of several variables
Feb
18
asked $C^k$ norm for functions of several variables
Feb
14
accepted Computing an integral in spherical coordinates
Feb
13
asked Computing an integral in spherical coordinates
Dec
15
comment Equivalent condition for a vector space to be finite dimensional
Thanks! Clean proof.
Dec
15
accepted Equivalent condition for a vector space to be finite dimensional
Dec
15
revised Equivalent condition for a vector space to be finite dimensional
added 4 characters in body
Dec
15
comment Equivalent condition for a vector space to be finite dimensional
@froggie Thanks! You are absolutely correct.
Dec
15
asked Equivalent condition for a vector space to be finite dimensional
Dec
11
accepted Example of non-unique-factorization in $\mathbb{Z}+x \mathbb{Q}[x]$.