how to delete unwanted space with a function or macro

[Uwe Brauer]

Hi

I just used plain align on the table below.



\begin{tabular}{|l|l|}
\hline
\(f(t)=\mathcal{L}^{-1}\{F(s)\}\) & \(F(s)=\mathcal{L}\{f(t)\}\) \\             
   \hline
1.                      & \(\frac{1}{s},\quad    s>0\)             \\           
              \hline
2.\(e^{a                t}\)                 & \(\frac{1}{s-a} \qquad           
               s>a\)                      \\                               
\hline
3.                      \(t^{n},             \quad                 n=\)         
              positive                   integer                          & 
\(\frac{n !}{s^{n+1}}, \quad                s>0\) \\    \hline
4.                      \(t^{p},\quad            p>-1\)            & 
\(\frac{\Gamma(p+1)}{s^{p+1}} \quad                          s>0\)              
              \\          \hline
5.                      \(\sin               (a                t)\)             
          & \(\frac{a}{s^{2}+a^{2}}  \quad                                s>0\) 
      \\           \hline
6.                      \(\cos               (a                t)\)             
          & \(\frac{s}{s^{2}+a^{2}}, \quad                                s>0\) 
      \\           \hline
7.                      \(\sinh              (a                t)\)             
          & \(\frac{a}{s^{2}-a^{2}}, \quad                                s>    
      a\)          \\               \hline
8.                      \(\cosh              (a                t)\)             
          & \(\frac{s}{s^{2}-a^{2}}, \quad                                s>    
      a\)          \\               \hline
9.                      \(e^{a               t}                \sin             
          b t\)                      & \(\frac{b}{(s-a)^{2}+b^{2}},   \quad     
      s>a\)        \\               \hline
10.                     \(e^{a               t}\cos            (b               
          t)\)                       & \(\frac{s-a}{(s-a)^{2}+b^{2}}, \quad     
      s>a\)        \\               \hline
11.                     \(t^{n}              e^{a              t},\quad         
              n=\)                       positive                         
integer     & \(\frac{n  !}{(s-a)^{n+1}}, \quad     s>a\) \\ \hline
12.                     \(u_{c}(t)\)         & \(e^{-c         s}F(s)\)         
          \\                         \hline
13.                     \(u_{c}(t)           f(t-c)\)          & \(e^{-c        
          s}F(s)\)                   \\                               \hline
14.                     \(e^{c               t}                f(t)\)           
          & \(F(s-c)\)               \\                               \hline
15.                     \(f(c                t)\)              & \(\frac{1}{c}  
          F\left(\frac{s}{c}\right), \quad                                c>0\) 
      \\           \hline
16.                     \(\int_{0}^{t}          f(t-\tau)            g(\tau)d   
                   \tau\)                        & \(F(s)                       
  G(s)\)      \\           \hline
17.                     \(\delta(t-c)\)           & \(e^{-c         s}\)        
               \\                         \hline
18.                     \(f^{(n)}(t)\)       & \(s^{n}         F(s)-s^{n-1}     
          f(0)-\cdots-f^{(n-1)}(0)\)      \\                               
\hline
19.                     \((-t)^{n}           f(t)\)            & \(F^{(n)}(s)\) 
          \\                         \hline
\end{tabular}


It has a lot of unwanted space as in \(e^{a t}\) how can I delete this
space in a convient way, whitespace-cleanup for example ignores this
space. Any ideas?


Regards

Uwe Brauer