Timeline for Which kind of convergence can we get from Laplace transform convergence?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| May 2, 2023 at 15:03 | comment | added | Iosif Pinelis | @DieterKadelka : Wikipedia gives $C_0$ as the principal version, and about the $C_c$ version it says "It is also not uncommon". But again, this is just a choice of terminology. | |
| May 2, 2023 at 14:56 | comment | added | Iosif Pinelis | @DieterKadelka : I saw that in a couple of places. But what does it matter now? | |
| May 2, 2023 at 14:33 | comment | added | Dieter Kadelka | By the way, do you have a link where the vague topology is defined by $C_0$ test functions. I only know the definition as in Kallenberg, Topsoe, ... | |
| May 2, 2023 at 14:06 | vote | accept | Fractional analysics | ||
| May 2, 2023 at 14:03 | comment | added | Iosif Pinelis | @DieterKadelka : Yes, he does, but I think most other people do not. Anyhow, now we have an answer for both versions of the vague convergence. | |
| May 2, 2023 at 14:01 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 2688 characters in body
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| May 2, 2023 at 13:27 | comment | added | Dieter Kadelka | Kallenberg explicitely demands test functions with compact support. | |
| May 2, 2023 at 13:24 | comment | added | Iosif Pinelis | @DieterKadelka : No, it does not, and it does not have to, according to the definition of the vague convergence, which involves $C_0$, the space of continuous functions small (but not necessarily $0$) outside some compact sets. | |
| May 2, 2023 at 13:03 | comment | added | Dieter Kadelka | $f$ doesn't have compact support. | |
| May 2, 2023 at 12:56 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |